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Refereed Journal Publications:
Is there more than one Dirichlet-Neumann algorithm for the biharmonic problem?, M.J. Gander and Y. Liu, to appear in SIAM J. of Sci. Comput., 2021.
Optimized Schwarz methods with elliptical domain decompositions, X.Chen, M.J. Gander and Y. Xu, J. Sci. Comput., Vol. 28, No. 2, pp. 1-28, 2021.
Closed Form Dispersion Corrections Including a Real Shifted Wave Number for Finite Difference Discretizations of 2D Constant Coefficient Helmholtz Problems, P-H. Cocquet, M.J. Gander and X. Xiang, SIAM J. Sci. Comput., Vol. 43, No. 1, pp. A278-A308, 2021.
Optimized Schwarz Methods with General Ventcell Transmission Conditions for Fully Anisotropic Diffusion with Discrete Duality Finite Volume Discretizations, M.J. Gander, Laurence Halpern, Florence Hubert and Stella Krell, Moroccan Journal of Pure and Applied Analysis, Vol. 7, No. 2, pp. 182-213, 2021.
Modeling and Analysis of the Coupling in Discrete Fracture Matrix Models, M.J. Gander, J. Hennicker and R. Masson, SIAM J. Num. Anal., Vol. 59, No. 1, pp. 195-218, 2021.
A continuous analysis of Neumann-Neumann methods: scalability and new coarse spaces, F. Chaouqui, M.J. Gander and K. Santugini, to appear in SIAM J. Sci. Comput., Vol. 42, No. 6, pp. A3785-A3811, 2020.
A diagonalization-based parareal algorithm for dissipative and wave propagation problems, M.J. Gander and S. Wu, SIAM J. Num. Anal., Vol. 58, No. 5, pp. 2981--3009, 2020.
Multilevel optimized Schwarz methods, M.J. Gander and T. Vanzan, SIAM J. Sci. Comput, Vol. 42, No. 5, pp. A3180-A3209, 2020.
Toward error estimates for general space-time discretizations of the advection equation, M. J. Gander and Thibaut Lunet, to appear in Journal of Computing and Visualization in Science, Vol. 23, No. 1, pp. 1-14, 2020.
Natural domain decomposition algorithms for the solution of time-harmonic elastic waves, R. Brunet, V. Dolean and M. J. Gander, SIAM J. Sci. Comput, Vol. 42, No. 5, pp. A3313--A3339, 2020.
ParaOpt: a Parareal Algorithm for Optimality Systems, M. J. Gander, F. Kwok and J. Salomon, SIAM J. Sci. Comput, Vol. 42, No. 2, pp. A2773-A2802, 2020.
Asymptotic Analysis for Overlap in Waveform Relaxation Methods for RC Type Circuits, M. J. Gander, P.M. Kumbhar and A.E. Ruehli, Scientific Computing, Vol. 84, No. 1, pp. 1-24, 2020.
Dirichlet-Neumann Waveform Relaxation Methods for Parabolic and Hyperbolic Problems in Multiple Subdomains, M. J. Gander, F. Kwok and B.C. Mandal, BIT Numerical Mathematics, pp. 1-35, 2020.
ParaStieltjes: parallel computation of Gauss quadrature rules using a Parareal-like approach for the Stieltjes procedure, M. J. Gander and Thibaut Lunet, Numerical Linear Algebra with Applications, e2314, 2020.
Exact BDF Stability Angles with Maple, M. J. Gander and G. Wanner, BIT Numerical Mathematics, pp. 1-3, 2020.
Methods of Reflections: relations with Schwarz methods and classical stationary iterations, scalability and preconditioning, G. Ciaramella, M. J. Gander, L. Halpern and J. Salomon, SMAI Journal of Computational Mathematics, Vol. 5, pp. 161--193, 2019.
Convergence Analysis of a Periodic-Like Waveform Relaxation Method for Initial-Value Problems Via the Diagonalization Technique, M.J. Gander and S.-L. Wu, Numerische Mathematik, Vol. 143, No. 2, pp. 489--527, 2019.
Heterogeneous Optimized Schwarz Methods for Second Order Elliptic PDEs, M. J. Gander and T. Vanzan, SIAM J. Sci. Comput., Vol. 41, No. 4, A2329-A2354, 2019.
A New Parareal Algorithm for Problems with Discontinuous Sources, M.J. Gander, I. Kulchytska-Ruchka, I. Niyonzima and S. Schöps, SIAM J. Sci. Comput., Vol. 41, No. 2, pp. B375-B395, 2019.
A Superlinear Convergence Estimate for the Parareal Schwarz Waveform Relaxation Algorithm, M.J. Gander, Y-L. Jiang, and B. Song, SIAM J. Sci. Comput., Vol. 41, No. 2, pp. A1148-A1169, 2019.
An introduction to multi-trace formulations and associated domain decomposition solvers, X. Claeys, V. Dolean and M.J. Gander, Applied Numerical Mathematics, Vol. 135, pp. 69-86, 2019.
Asymptotic Analysis of Optimized Schwarz Methods for Maxwell's Equations with Discontinuous Coefficients, V. Dolean, M.J. Gander and E. Veneros, M2AN, Vol. 52, No. 6, pp. 2457--2477, 2019.
A Direct Time Parallel Solver by Diagonalization for the Wave Equation, M.J. Gander, L. Halpern, J. Rannou, J. Ryan, SIAM J. Sci. Comput., Vol. 41, No. 1, pp. A220-A245, 2019.
A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods, M.J. Gander and H. Zhang, SIAM Review, Vol. 61, No. 1, pp. 3-76, 2019.
On the scalability of classical one-level domain-decomposition methods, F. Chaouqui, G. Ciaramella, M.J. Gander, and T. Vanzan, Vietnam Journal of Mathematics, Vol. 46, No. 4, pp. 1053--1088, 2018.
Analysis of the parallel Schwarz method for growing chains of fixed-sized subdomains: part III, G. Ciaramella and M.J. Gander, ETNA, Vol. 49, pp. 201--243, 2018.
Analysis of the parallel Schwarz method for growing chains of fixed-sized subdomains: part II, G. Ciaramella and M.J. Gander, SIAM J. Num. Anal., Vol. 56, No. 3, pp. 1498-1524, 2018.
Multigrid Interpretations of the Parareal Algorithm Leading to an Overlapping Variant and MGRIT, M.J. Gander, F. Kwok and H. Zhang, Journal of Computing and Visualization in Science, Vol. 19, No. 3, pp. 59-74, 2018.
Multiscale analysis of heterogeneous domain decomposition methods for time-dependent advection reaction diffusion problems, M.J. Gander, L. Halpern and V. Martin, Journal of Computational and Applied Mathematics, Vol. 344, pp. 904-924, 2018.
A cross correlation method for chemical profiles in minerals, with an application to zircons of the Kilgore Tuff (USA), L.C. Probst, T.E. Sheldrake, M.J. Gander, G. Wallace, G. Simpson and L. Caricchi, Contributions to Mineralogy and Petrology 173:23, 2018.
Analysis of Schwarz methods for a hybridizable discontinuous Galerkin discretization: the many subdomain case, M.J. Gander, S. Hajian, Mathematics of Computation, Vol. 87, pp. 1635-1657, 2018.
Analysis of the parallel Schwarz method for growing chains of fixed-sized subdomains: part I, G. Ciaramella and M.J. Gander, SIAM J. Num. Anal., Vol. 55, No. 3, pp. 1330-1356, 2017.
How Large a Shift is Needed in the Shifted Helmholtz Preconditioner for its Effective Inversion by Multigrid ?, P.-H. Cocquet and M.J. Gander, SIAM J. Sci. Comp., Vol. 39, No. 2, pp. A438-A478, 2017.
Optimized Schwarz Methods with Nonoverlapping Circular Domain Decomposition , M.J. Gander and Y. Xu, Mathematics of Computation, Vol. 86, No. 304, pp. 637-660, 2017.
Optimized Schwarz Methods with Overlap for the Helmholtz Equation, M.J. Gander and H. Zhang, SIAM J. Sci. Comp., Vol. 38, No. 5, pp. A3195-A3219, 2016.
A Numerical Study on the Compressibility of Subblocks of Schur Complement Matrices Obtained from Discretized Helmholtz Equations, M.J. Gander and S. Solovyev, in International Conference on Numerical Analysis and Its Applications, pp. 70-81, Springer Verlag, 2016.
Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation Algorithms for Parabolic Problems, M.J. Gander, F. Kwok and B. Mandal, ETNA, Vol. 45, pp. 424-456, 2016.
Nonlinear Preconditioning: how to use a Nonlinear Schwarz Method to Precondition Newton's Method, V. Dolean, M.J. Gander, W. Kheriji, F. Kwok and R. Masson, SIAM J. Sci. Comp., Vol. 38, No. 6, pp. A3357-A3380, Vol. 38, No. 5, pp. A2964-A2986, 2016.
Optimized Schwarz methods for model problems with continuously variable coefficients, M.J. Gander and Y. Xu, SIAM J. Sci. Comp., Vol. 38, No. 5, pp. A2964--A2986, 2016.
Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems , M.J. Gander and M. Neumüller, SIAM J. Sci. Comp., Vol. 38, No. 4, pp. A2173-A2208, 2016. The more easy to read separate papers for time parallelization only and then space-time parallelization that the editors asked us to merge are also downloadable.
Cross-Points in Domain Decomposition Methods with a Finite Element Discretization, M.J. Gander and K. Santugini-Repiquet, ETNA, Vol. 45, pp. 219-240, 2016.
Optimized Schwarz Waveform Relaxation for Advection Reaction Diffusion Equations in Two Dimensions , D. Bennequin, M.J. Gander, L. Gouarin and L. Halpern, Numerische Mathematik, Vol. 134, No. 3, pp. 513-567, 2016.
A new Algorithm Based on Factorization for Heterogeneous Domain Decomposition , M.J. Gander, L. Halpern and V. Martin, Numerical Algorithms, Vol. 73, No. 1, pp. 167--195, 2016.
Analysis of a new dimension-wise splitting iteration with selective relaxation for saddle point problems , Martin J. Gander, Q. Niu, Y. Xu, BIT Numerical Mathematics, Vol. 56, No. 2, pp. 441-465, 2016.
Discontinuous Galerkin Discretizations of Optimized Schwarz Methods for Solving the Time-Harmonic Maxwell's Equations, M. El Bouajaji, V. Dolean, M.J. Gander, S. Lanteri and R. Perrussel, ETNA, Vol. 44, pp. 572-592, 2015.
B-Methods for the Numerical Solution of Evolution Problems with Blow-up Solutions Part I: Variation of the Constant, M. Beck, M.J. Gander, F. Kwok, SIAM J. Sci. Comp., Vol. 37, No. 6, pp. A2998--A3029, 2015.
50 Years of Time Parallel Time Integration, M.J. Gander, in 'Multiple Shooting and Time Domain Decomposition', T. Carraro, M. Geiger, S. Körkel, R. Rannacher, editors, pp. 69--114, Springer Verlag, 2015.
Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: What is the largest shift for which wavenumber-independent convergence is guaranteed?, M.J. Gander, I.G. Graham and E.A. Spence, Numerische Mathematik, Vol. 131, No. 3, pp. 567-614, 2015.
Analysis of Schwarz methods for a hybridizable discontinuous Galerkin discretization, M.J. Gander, S. Hajian, SIAM J. Numer. Anal., Vol. 53, No. 1, pp. 573-579, 2015.
Effective Transmission Conditions for Domain Decomposition Methods applied to the Time-Harmonic Curl-Curl Maxwell's equations, V. Dolean, M.J. Gander, S. Lanteri, J.F. Lee and Z. Peng, Journal of Computational Physics, Vol. 280, pp. 232-247, 2015.
On the Positivity of Poisson Integrators for the Lotka-Volterra Equations, M. Beck and M.J. Gander, BIT Numerical Mathematics, Vol. 55, No. 2, pp. 319--340, 2015.
Optimized Schwarz methods for a diffusion problem with discontinuous coefficient, O. Dubois and M.J. Gander, Numerical Algorithms, No. 1, pp. 109-144, 2015.
Continuous Analysis of the Additive Schwarz Method: a Stable Decomposition in H^1, M.J. Gander, L. Halpern and K. Santugini-Repiquet, M2AN, Vol. 49, No. 3, pp. 713-740, 2014.
Constrained Optimization: from Lagrangian Mechanics to Optimal Control and PDE Constraints , M.J. Gander, F. Kwok and G. Wanner, Optimization with PDE Constraints, LNCS 101, pp. 151-202, 2014. Slides of the corresponding presentation
Optimized Schwarz Methods for Circular Domain Decompositions with Overlap, M.J. Gander and Y. Xu, SIAM J. Num. Anal., Vol. 52, No. 4, pp. 1981-2004, 2014.
Optimization of Transmission Conditions in Waveform Relaxation Techniques for RC Circuits, M. Al-Khaleel, M.J. Gander and A. Ruehli, SIAM J. Num. Anal. , Vol. 52. No. 2, pp. 1076-1101, 2014.
Analysis for parareal algorithms applied to Hamiltonian differential equations , M.J. Gander and E. Hairer, Journal of Computational and Applied Mathematics, 259, 2-13, 2014.
A mathematical analysis of optimized waveform relaxation for a small RC circuit , M. Al-Khaleel, M.J. Gander and A. Ruehli, Applied Numerical Mathematics, 75, 61-76, 2014.
Multigrid Methods for Helmholtz Problems: A Convergent Scheme in 1D Using Standard Components, O.G. Ernst and M.J. Gander, Direct and inverse problems in wave propagation and applications, I. Graham, U. Langer, M. Melenk and M. Sini eds, DeGruyter, 135--186, 2013.
Traffic prediction based on a local exchange of information, B. Barbieri, G. Sartoretti, J.-L. Falcone, B. Chopard, M.J. Gander, J. Cell. Autom. 8, No. 5-6, pp. 429--441, 2013.
Algorithm 932: PANG: Software for Non-Matching Grid Projections in 2d and 3d with Linear Complexity , M.J. Gander and C. Japhet, ACM Transactions on Mathematical Software (TOMS), Vol. 40, No. 1, pp. 6:1-6:25, 2013.
PARAEXP: A parallel integrator for linear initial-value problems , M.J. Gander and S. Güttel, SIAM J. Sci. Comp., Vol. 35, No. 2, pp. C123-C142, 2013.
Analysis of two Parareal Algorithmsfor Time-Periodic Problems, , M.J. Gander, Y.-L. Jiang, B. Song, and H. Zhang, SIAM J. Sci. Comp., Vol. 35, No. 5, pp. A2393-A2415, 2013.
Derivation of the Isotropic Diffusion Source Approximation (IDSA) for Supernova Neutrino Transport by Asymptotic Expansions , H. Berninger, E. Frenod, M.J. Gander, M. Liebendörfer, J. Michaud, and N. Vasset, SIAM J. Math. Anal., 45(6), pp. 3229-3439, 2013.
Optimization of Schwarz Waveform Relaxation over Short Time Windows , Y. Courvoisier and M.J. Gander, Numerical Algorithms 64(2), pp. 221--243, 2013.
From Euler, Ritz and Galerkin to Modern Computing , M.J. Gander and G. Wanner, SIAM Review, 54(4), 627-666, 2013. Slides of the corresponding presentation, Hard to find historical references
A Mathematical Description of the IDSA for Supernova Neutrino Transport, its Discretization and a Comparison with a Finite Volume Scheme for Boltzmann s Equation , H. Berninger, E. Frénod, M.J. Gander, M. Liebendörfer, J. Michaud and N. Vasset, ESIAM Proceedings, Vol. 38, pp. 163-182, 2012.
An optimal block iterative method and preconditioner for banded matrices with applications to PDEs on irregular domains , M.J. Gander, S. Loisel and D. B. Szyld, SIAM J. Matrix Anal. and Appl., Vol. 33, No. 2, pp. 653-680, 2012.
Best Robin Parameters for Optimized Schwarz Methods at Cross Points , M.J. Gander and F. Kwok, SIAM J. Sci. Comp., Vol. 34, No. 4, pp. A1849-A1879, 2012.
Domain Decomposition approaches for mesh generation via the Equidistribution Principle, M.J. Gander and R. D. Haynes, SIAM J. on Num. Anal., Vol. 50, No. 4, pp. 2111-2135, 2012.
Optimized Schwarz methods for the time-harmonic Maxwell equations with damping , M. El Bouajaji, V. Dolean, M.J. Gander, S. Lanteri, SISC, Vol. 34, No. 4, pp. A2048-A2071, 2012.
Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods , O. Ernst and M.J. Gander, in Numerical Analysis of Multiscale Problems, I. Graham, T. Hou, O. Lakkis and R. Scheichl, Editors, pp. 325-363, Springer Verlag, 2012.
Chladni Figures and the Tacoma Bridge: Motivating PDE Eigenvalue Problems via Vibrating Plates , M.J. Gander and F. Kwok, SIAM Review, Vol. 54, No. 3, pp.573-596, 2012.
The Optimized Schwarz Method with a Coarse Grid Correction , O. Dubois, M.J. Gander, S. Loisel, A. St-Cyr and D. Szyld, SIAM J. Sci. Comput., Vol. 34, No. 1, pp. A421-A458, 2012.
On the Influence of Geometry on Optimized Schwarz Methods , M.J. Gander, Bol. Soc. Esp. Mat. Apl., Num. 53, pp. 71-78, 2011.
Schwarz Waveform Relaxation Algorithms for Semilinear Reaction-Diffusion Equations , F. Caetano, M.J. Gander, L. Halpern and J. Szeftel, Networks and Heterogeneous Media, AMS, Vol. 5, No. 3, pp. 487-505, 2010.
Optimized domain decomposition methods for the spherical Laplacian , S. Loisel,J. Cote, M.J. Gander, L. Laayouni and A. Qaddouri SIAM Journal on Numerical Analysis, Vol. 48, No. 2, pp. 524-551, 2010.
Optimized Schwarz Methods for Maxwells equations , V. Dolean, M.J. Gander, and L. Gerardo-Giorda, SIAM J. Sci. Comput., Vol. 31, No. 3, pp. 2193-2213, 2009.
Overlapping Schwarz Waveform Relaxation for Advection Reaction Diffusion Problems , D.S. Daoud and M.J. Gander, Bol. Soc. Esp. Mat. Apl., Vol. 46, pp. 75-90, 2009.
A Homographic Best Approximation Problem with Application to Optimized Schwarz Waveform Relaxation, D. Bennequin, M.J. Gander and L. Halpern, Math. of Comp., 78, pp. 185-223, 2009.
Viscous Problems with a Vanishing Viscosity Approximation in Subregions: a New Approach Based on Operator Factorization , M.J. Gander, L. Halpern, C. Japhet and V. Martin, ESAIM Proc., Vol. 27, pp. 272-288, 2009.
Optimized Waveform Relaxation Methods for the Longitudinal Partitioning of Transmission Lines M.J. Gander, M. Al-Khaleel and A. Ruehli, IEEE Transactions on Circuits and Systems I, Vol. 56, No. 8, pp. 1732-1743, 2009.
Schwarz Methods over the Course of Time , M.J. Gander, ETNA, Vol. 31, pp. 228-255, 2008. Slides of the corresponding presentation
Analysis of a Krylov Subspace Enhanced Parareal Algorithm, M.J. Gander and M. Petcu, ESAIM Proc, , Vol. 25, pp. 114-129, 2008.
Optimized Schwarz methods with an overset grid for the shallow-water equations: preliminary results , A. Qaddouri, L. Laayouni, S. Loisel, J. Cote and M.J. Gander, Applied Numerical Mathematics, Vol. 58, No. 4, pp. 459-471, 2008.
Associazioni simbiotiche, A. Steiner and M.J. Gander, Il Volterriano 10, 2008.
Analysis of the Parareal Algorithm Applied to Hyperbolic Problems Using Characteristics, M. Gander, Bol. Soc. Esp. Mat. Apl., Vol. 42, pp. 21-35, 2008.
Shortest Road Network Connecting Cities, M.J. Gander, K. Santugini-Repiquet and A. Steiner, Bollettino dei docenti di matematica, Vol. 56, pp. 9-19, 2008 (in italian: La rete stradale piu breve che collega le citta)
Optimized multiplicative, additive and restricted additive Schwarz preconditioning, A. St-Cyr, M.J. Gander and S.J. Thomas, SIAM J. Sci. Comput., Vol. 29, No. 6, pp. 2402-2425, 2007.
An Optimized Schwarz Method with Two-Sided Robin Transmission Conditions for the Helmholtz Equation, M.J. Gander and , L. Halpern, and F. Magoules, Int. J. for Num. Meth. in Fluids, Vol. 55, No. 2, pp. 163-175, 2007.
Phase Transitions in a Relaxation Model of Mixed Type with Periodic Boundary Condition, M.J. Gander, M. Mei and G. Schmidt, Applied Mathematics Research eXpress, Vol. 2007, Oxford University Press, pp. 1-34, 2007.
Analysis of Patch Substructuring Methods , M.J. Gander, L. Halpern and F. Magoules, Int. J. Appl. Math. Comput. Sci., Vol. 17, No. 3, pp. 395-402, 2007.
Optimized Schwarz Waveform Relaxation for Advection Reaction Diffusion Problems, M.J. Gander and L. Halpern, SIAM J. Num. Anal., Vol. 45, No. 2, pp. 666-697, 2007.
Stochastic Gene Expression in Switching Environments, M.J. Gander, C. Mazza and H. Rummler, 20 pages, J. of Math. Biology, Vol. 55, No. 2, pp. 249-269, 2007.
Analysis of the Parareal Time-Parallel Time-Integration method, M.J. Gander and S. Vandewalle, SIAM J. Sci. Comput., Vol. 29, No. 2, pp. 556-578, 2007. Slides of the corresponding presentation
Optimized Schwarz Methods, M.J. Gander, SIAM J. Num. Anal., Vol. 44, No. 2, pp. 699-731, 2006.
Overlapping Schwarz Waveform Relaxation for Convection Dominated Dissipative Conservation Laws, M.J. Gander and C. Rohde, SIAM J. Sci. Comput., Vol. 27, No. 2, pp. 415-439, 2005.
Asymptotic Properties of the QR Factorization of Banded Hessenberg-Toeplitz Matrices, X.-W. Chang, M.J. Gander and S. Karaa, Numerical Linear Algebra with Applications, Vol. 12, pp. 659-682, 2005.
An Incomplete LU Preconditioner for Problems in Acoustics, M.J. Gander and F. Nataf, Journal of Computational Acoustics, Vol. 13, No. 3, pp. 1-22, 2005.
The Sequential Spectral Method for nonlinear elliptic integro-differential equations, M.J. Gander, A. Mansoora and K. Tam, Canadian Journal of Applied Mathematics, Vol. 12, No. 2, pp. 153-175, 2004.
A Frequency Decomposition Waveform Relaxation Algorithm for Nonlinear Evolution Equations, M.J. Gander, Electronic Transactions on Numerical Analysis, Vol. 17, pp. 181-194, 2004.
Absorbing Boundary Conditions for the Wave Equation and Parallel Computing, M.J. Gander and L. Halpern, Mathematics of Computation, Vol. 74, No. 249, pp. 153-176, 2004.
Why Restricted Additive Schwarz Converges Faster than Additive Schwarz, E. Efstathiou and M.J. Gander, BIT Numerical Mathematics, Vol. 43, No. 5, pp. 945-959, 2003.
Optimized Waveform Relaxation Methods for RC Type Circuits, M.J. Gander and A. Ruehli, IEEE Transactions on Circuit and Systems, Vol. 51, No. 4, pp. 755-768, 2004.
Optimization of the Hermitian and Skew-Hermitian Splitting Iteration for Saddle-Point Problems, M. Benzi, M.J. Gander and G.H. Golub, BIT Numerical Mathematics Vol. 43, pp. 881-900, 2003.
Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation, M.J. Gander, L. Halpern and F. Nataf, SIAM J. Num. Anal., Vol. 41, No. 5, pp. 1643-1681, 2003.
Selezione e convivenza in ipercicli, A. Steiner, F. Pini and M.J. Gander, Il Volterriano 9, pp. 49-70, 2003.
Methodes de relaxation d'ondes pour l'equation de la chaleur en dimension 1, M.J. Gander and L. Halpern, C. R. Acad. Sci. Paris, t. 336, S\'erie I, pp. 519-524, 2003.
Cicli di Jones generalizzati, F. Pini, A. Steiner and M.J. Gander, 3 pages, Il Volterriano 9, pp. 71-74, 2003.
Overlapping Schwarz Waveform Relaxation for the Heat Equation in n-Dimensions, M.J. Gander and H. Zhao, BIT, Vol. 42, No. 4, pp. 779-795, 2002.
Preconditioners for Acoustic Problems: AILU, M.J. Gander, Special issue of the journal Revista de Acustica, Vol. XXXIII, 2002.
Optimized Schwarz Methods without Overlap for the Helmholtz Equation, M.J. Gander, F. Magoules and F. Nataf, SIAM J. Sci. Comput., Vol. 24, No 1, pp. 38-60, 2002.
Un algorithme discret de decomposition de domaines pour l'equation des ondes en dimension 1, M.J. Gander and L. Halpern, C. R. Acad. Sci. Paris, t. 333, Série I, pp. 699-702, 2001.
AILU for Helmholtz Problems: a New Preconditioner Based on the Analytic Parabolic Factorization, M.J. Gander and F. Nataf, Journal of Computational Acoustics, Vol.9, No. 4, pp. 1499-1506, 2001.
Erhaltung der Artenvielfalt durch Migration, A. Steiner and M.J. Gander, Il Volterriano 8, pp. 31-42, 2001.
Methodes de decomposition de domaines pour l'equation des ondes en dimension 1, M.J. Gander and L. Halpern, C. R. Acad. Sci. Paris, t. 333, pp. 589-592, 2001.
Sistemi competitivi, A. Steiner, F. Pini and M. J. Gander, Il Volterriano 8, pp. 19-30, 2001.
Stable Computation of High Order Gauss Quadrature Rules Using Discretization, M.J. Gander and A.H. Karp, Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 68, Issue 2, pp. 213-223, 2001.
AILU: A Preconditioner Based on the Analytic Factorization of the Elliptic Operator, M.J. Gander and F. Nataf, Numerical Linear Algebra with Applications, Vol. 7, Nr 7-8, pp. 543-567, 2000.
AILU for Helmholtz Problems: A new Preconditioner Based on an Analytic Factorization, M.J. Gander and F. Nataf, C. R. Acad. Sci. Paris, t. 331, Série I, pp. 261-266, 2000.
Parametrische Lösungen der Räuber-Beute-Gleichungen im Vergleich, A. Steiner and M.J. Gander, Il Volterriano no. 7, pp. 32-44, Liceo Cantonale e Biblioteca Cantonale di Mendrisio, 1999.
A Waveform Relaxation Algorithm with Overlapping Splitting for Reaction Diffusion Equations, M.J. Gander, Numerical Linear Algebra with Applications, Vol. 6, Nr. 2, pp. 125-145, 1999.
Selezione e convivenza in sistemi Darwiniani, A. Steiner, F. Pini and M.J. Gander, Il Volterriano no. 7, pp. 15-31, Liceo Cantonale e Biblioteca Cantonale di Mendrisio, 1999.
Note on the Optimal Intercept Time of Vessels to a Nonzero Range, M.J. Gander, SIAM Review Vol. 40, No. 3, pp. 673, 1998.
Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation, M.J. Gander and A.M. Stuart, SIAM J. Sci. Comput. Vol 19, No. 6, pp. 2014-2031, 1998.
Circular Billiard, M. Drexler and M.J. Gander, SIAM Review Vol. 40, No. 2, pp 315-323, 1998.
Selezione e convivenza in cicli e quasicicli, A. Steiner and M.J. Gander, Il Volterriano no. 6, pp. 107-125, Liceo Cantonale e Biblioteca Cantonale di Mendrisio, 1997.
Ein dauerhaftes Zusammenleben zweier Populationen, A. Steiner and M.J. Gander, Elemente der Mathematik vol. 51, no. 2, pp. 45-56, 1996.
Le soluzioni delle equazioni preda-predatore, A. Steiner and M.J. Gander, Il Volterriano no. 5, pp. 9-28, Liceo Cantonale e Biblioteca Cantonale di Mendrisio, 1995.
A Non Spiraling Integrator for the Lotka Volterra Equation, M.J. Gander, Il Volterriano no. 4, pp. 21-28, Liceo Cantonale e Biblioteca Cantonale di Mendrisio, 1994.
Autolimitazione fievole, M.J. Gander, Il Volterriano no. 3, pp. 53-64, Liceo Cantonale e Biblioteca Cantonale di Mendrisio, 1993.
Perché la natura non perirà, A. Steiner and M.J. Gander, Il Volterriano no. 2, pp. 15-31, Liceo Cantonale e Biblioteca Cantonale di Mendrisio, 1992.
Books, Book Chapters:
Numerical Analysis of Partial Differential Equations using Maple and Matlab, M.J. Gander and Felix Kwok, SIAM, 2018.
Domain Decomposition Methods in Science and Engineering XXII, T. Dickopf, M.J. Gander, L. Halpern, R. Krause, L.F. Pavarino, Springer Verlag, 2016.
Scientific Computing: an Introduction using Maple and Matlab, M.J. Gander, W. Gander and F. Kwok, textbook, Springer Verlag, 2014.
Domain Decomposition Methods in Science and Engineering XXI, J. Erhel, M.J. Gander, L. Halpern, G. Pichot, T. Sassi, O.B. Widlund, editors, Lecture Notes in Computational Science and Engineering, Springer Verlag, Vol. 98, 2014.
From Euler, Ritz and Galerkin to Modern Computing, M.J. Gander and G. Wanner, book chapter, Valesia, 2012.
Domain Decomposition Methods in Science and Engineering XVIII, M. Bercovier, M.J. Gander, R. Kornhuber, O. Widlund, editors, Lecture Notes in Computational Science and Engineering, Springer Verlag, Vol. 70, 2009, ISBN 978-3-642-02676-8.
Modern Methods in Scientific Computing with applications, A. Bourlioux and M.J. Gander, editors, NATO Science Series II, Kluwer Academic Publishers, vol. 75, Ser. II, ISBN 1-4020-0782-5, 2002.
An Introduction to Numerical Integrators Preserving Physical Properties, M.J. Gander and R. Meyer-Spasche, chapter in 'Applications of Nonstandard Finite Difference Schemes', edited by R.E. Mickens, World Scientific, 2000, ISBN 981-02-4133-X.
Reports and Miscellaneous:
Is it possible to predict the far future before the near future is known accurately?, M.J. Gander, Snapshots of modern mathematics from Oberwolfach, No. 21, 2019.
Méthodes de décomposition de domaine, M.J. Gander and L. Halpern, Encyclopédie électronique pour les ingénieurs, 81 pages, France, 2012.
Waveform Relaxation, M.J. Gander, Encyclopedia of Applied and Computational Methematics, Springer Verlag, 2012.
Minimizing Norms to Solve Approximately a Frequency Assignment Problem, M.J. Gander and G.H. Golub, SCCM report 98-15, Stanford University, 1998.
SCCM Advice: Stanford University's Consulting Group for Applied Math and Numerical Analysis, M. Aczon, M.J. Gander, M. Gerritsen, T. Shardlow and R. Sircar, IEEE Computational Science and Engineering vol.4, no.1, pp. 7-9, Jan.-Mar. 1997.
Influence of Overlap on the Convergence Rate of Waveform Relaxation, M.J. Gander and A.M. Stuart, SCCM report 96-13, Stanford University, 1996.
Analyse beweisbar sicherer Schlsselgenerierungsprotokolle, Masters Thesis, ETH Zrich, 1993.
Refereed Conference Proceedings:
Dcomposition de domaine et problme de Helmholtz: Thirty years after and still unique, M.J. Gander and H. Zhang, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
On the nonlinear Dirichlet-Neumann method and preconditioner for Newton's method, F. Chaouqui, M.J. Gander, P.M. Kumbhar and T. Vanzan, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
A New Coarse Space for a Space-Time Schwarz Waveform Relaxation Method, M.J. Gander, Y. Jiang and B. Song, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
Optimized Schwarz methods with data-sparse transmission conditions, M.J. Gander and M. Outrata, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
Convergence of Parareal for a Vibrating String with Viscoelastic Damping, M.J. Gander, T. Lunet and A. Pogozelskyte, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
Optimizing transmission conditions for multiple subdomains in the Magnetotelluric Approximation of Maxwell's equations, V. Dolean, M.J. Gander and A. Kyriakis, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
Should multilevel methods for discontinuous Galerkin discretizations use discontinuous interpolation operators?, M.J. Gander and J.P. Lucero Lorca, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem, S. Gong, M.J. Gander, I.G. Graham and E.A. Spence, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
A simple finite difference discretization for Ventcell transmission conditions at cross points, M.J. Gander and L. Halpern, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
Optimized coupling conditions for discrete fracture matrix models, M.J. Gander, J. Hennicker and R. Masson, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
Overlapping DDFV Schwarz algorithms on non-matching grids, M.J. Gander, L. Halpern, F. Hubert and S. Krell, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
Fundamental coarse space components for Schwarz methods with crosspoints, F. Cuvelier, M.J. Gander and L. Halpern, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
Consistent and asymptotic-preserving finite-volume Robin transmission conditions for singularly perturbed elliptic equations, M.J. Gander, S.B. Lunowa and Ch. Rohde, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
A numerical algorithm based on probing to find optimized transmission conditions, M.J. Gander, R. Masson and T. Vanzan, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
Cycles in Newton-Raphson preconditioned by Schwarz (ASPIN and its cousins), C. McCoid and M.J. Gander, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
SParse Approximate Inverse (SPAI) based transmission conditions for optimized algebraic Schwarz methods, M.J. Gander, L. Laayouni and D.B. Szyld, in Domain Decomposition Methods in Science and Engineering XXVI, LNCSE, Springer-Verlag, 2021.
Optimized Overlapping DDFV Schwarz Algorithms, M.J. Gander, L. Halpern, F. Hubert and S. Krell, International Conference on Finite Volumes for Complex Applications, pp. 365-373, Springer-Verlag, 2020.
Analysis of Double Sweep Optimized Schwarz Methods: the Positive Definite Case, M.J. Gander and H. Zhang, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 53-64, 2020.
Does the Partition of Unity Influence the Convergence of Schwarz Methods?, M.J. Gander, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 3-15, 2020.
A Reynolds Number dependent Convergence Estimate for the Parareal Algorithm, M.J. Gander and T. Lunet, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 277-284, 2020.
Dispersion correction for Helmholtz in 1D with piecewise constant wavenumber, P.-H. Cocquet, M.J. Gander and X. Xiang, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 359-366, 2020.
Comparison of Continuous and Discrete Techniques to Apply Coarse Corrections, M.J. Gander, L. Halpern and K. Santugini-Repiquet, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 143-150, 2020.
On the derivation of optimized transmission conditions for the Stokes-Darcy coupling, M.J. Gander and T. Vanzan, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 491-498, 2020.
Domain Decomposition Coupling of FV4 and DDFV for Numerical Weather Prediction, O. Fuhrer, M.J.Gander and S. Moody, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 302-309, 2020.
Can classical Schwarz methods for time-harmonic elastic waves converge?, R. Brunet, V. Dolean and M.J. Gander, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 425-432, 2020.
New Coarse Corrections for Optimized Restricted Additive Schwarz Using PETSc, M.J. Gander and S. Van Criekingen, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 483-490, 2020.
Asymptotic Analysis for Different Partitionings of RLC Transmission Lines, M.J. Gander, P.M. Kumbhar and A.E. Ruehli, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 251-259, 2020.
The Domain Decomposition Method of Bank and Jimack as an Optimized Schwarz method, G. Ciaramella, M.J. Gander and P. Mamooler, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 285-293, 2020.
A New Parareal Algorithm for Time-Periodic Problems with Discontinuous Inputs, M.J. Gander, I. Kulchytska-Ruchka and S. Schhöps, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 243-250, 2020.
A Schwarz Method for the Magnetotelluric Approximation of Maxwell's equations, F. Donzelli, M.J. Gander and R.D. Haynes, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 417-424, 2020.
A Local Coarse Space Correction Leading to a Well-Posed Continuous Neumann-Neumann Method in the Presence of Cross Points, F. Chaouqui, M.J. Gander and K. Santugini-Repiquet, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 83-91, 2020.
Happy 25th anniversary ddm! ... but how fast can the Schwarz method solve your logo?, G. Ciaramella and M.J. Gander, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 92-99, 2020.
Asymptotic analysis for the coupling between subdomains in Discrete Fracture Matrix models, M.J. Gander, J. Hennicker and R. Masson, in Domain Decomposition Methods in Science and Engineering XXV, LNCSE, Springer-Verlag, pp. 433-440, 2020.
Complete, Optimal and Optimized Coarse Spaces for Additive Schwarz, M.J. Gander and B. Song, Domain Decomposition Methods in Science and Engineering XXIV, LNCSE, Springer-Verlag, pp. 301--310, 2018.
Does SHEM for Additive Schwarz work better than predicted by its condition number estimate ?, P. Bjorstad, M.J. Gander, A. Loneland and T. Rahman, Domain Decomposition Methods in Science and Engineering XXIV, LNCSE, Springer-Verlag, pp. 129--138, 2018.
Convergence of Substructuring Methods for Elliptic Optimal Control Problems, M.J. Gander, F. Kwok and B. Mandal, Domain Decomposition Methods in Science and Engineering XXIV, LNCSE, Springer-Verlag, pp. 291--300, 2018.
Partition of Unity Methods for Heterogeneous Domain Decomposition, G. Ciaramella and M.J. Gander, Domain Decomposition Methods in Science and Engineering XXIV, LNCSE, Springer-Verlag, pp. 177--186, 2018.
Optimized Schwarz methods for advection diffusion equations in bounded domains, M.J. Gander and T. Vanzan, Numerical Mathematics and Advanced Applications, ENUMATH2017, Springer Verlag, pp. 921--930, 2018.
Restrictions on the use of sweeping type preconditioners for Helmholtz problems, M.J. Gander and H. Zhang, Domain Decomposition Methods in Science and Engineering XXIV, LNCSE, Springer-Verlag, pp. 321--332, 2018.
A Coarse Space to Remove the Logarithmic Dependency in Neumann-Neumann Methods, F. Chaouqui, M.J. Gander and K. Santugini-Repiquet, Domain Decomposition Methods in Science and Engineering XXIV, LNCSE, Springer-Verlag, pp. 159-168, 2018.
On Optimal Coarse Spaces for Domain Decomposition and Their Approximation, M.J. Gander, L. Halpern and K. Santugini-Repiquet, Domain Decomposition Methods in Science and Engineering XXIV, LNCSE, Springer-Verlag, pp. 271--280, 2018.
A finite difference method with optimized dispersion correction for the Helmholtz equation, P.-H. Cocquet, M.J. Gander and X. Xiang, Domain Decomposition Methods in Science and Engineering XXIV, LNCSE, Springer-Verlag, pp. 205--214, 2018.
Heterogeneous Optimized Schwarz Methods for Coupling Helmholtz and Laplace Equations, M.J. Gander and T. Vanzan, Domain Decomposition Methods in Science and Engineering XXIV, LNCSE, Springer-Verlag, pp. 311--320, 2018.
Optimal coarse spaces for FETI and their approximation, F. Chaouqui, M.J. Gander and K. Santugini-Repiquet, Numerical Mathematics and Advanced Applications, ENUMATH2017, Springer-Verlag, pp. 931--940, 2018.
Analysis of the shifted Helmholtz expansion preconditioner for the Helmholtz equation, M.J. Gander and P.-H- Cocquet, Domain Decomposition Methods in Science and Engineering XXIV, LNCSE, Springer-Verlag, pp. 195--204, 2018.
A Nonlinear ParaExp Algorithm, M.J. Gander, S. Güttel and M. Petcu, Domain Decomposition Methods in Science and Engineering XXIV, LNCSE, Springer-Verlag, pp. 261--270, 2018.
Analysis of Overlap in Waveform Relaxation Methods for RC Circuits, M.J. Gander, P.M. Kumbhar and A.E. Ruehli, Domain Decomposition Methods in Science and Engineering XXIV, LNCSE, Springer-Verlag, pp. 281--290, 2018.
Review of the Methods of Reflections, G.Ciaramella, M.J. Gander, L. Halpern and J. Salomon, Oberwolfach Preprint, OWP 2017-27, ISSN 1864-7596, 2017.
Three Different Multigrid Interpretations of the Parareal Algorithm and an Adaptive Variant, M.J. Gander, Workshop on Space-time Methods for Time-dependent Partial Differential Equations, Oberwolfach Report, 2017.
Low-Rank Properties in Schur Complements of Discretized Helmholtz Equations, M.J. Gander and S. Solovyev, Book of Abstracts, Waves 2017, 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, pp. 347-348, 2017.
Five Decades of Time Parallel Time Integration, and a Note on the Degradation of the Performance of the Parareal Algorithm as a Function of the Reynolds Number, M.J. Gander, Mini-Workshop on Adaptive Methods for Control Problems Constrained by Time-Dependent PDEs, Oberwolfach Report, 2017.
On the Origins of Linear and Non-Linear Preconditioning, M.J. Gander, Domain Decomposition Methods in Science and Engineering XXIII, LNCSE, Springer-Verlag, pp. 137-144, 2016.
On the Definition of Dirichlet and Neumann Conditions for the Biharmonic Equation and Its Impact on Associated Schwarz Methods , M.J.Gander, Y. Liu, Domain Decomposition Methods in Science and Engineering XXIII, LNCSE, Springer-Verlag, pp. 273-280, 2016.
Optimized Schwarz methods for domain decompositions with parabolic interfaces , M.J.Gander, Y. Xu, Domain Decomposition Methods in Science and Engineering XXIII, LNCSE, Springer-Verlag, pp. 289-296, 2016.
SHEM: An optimal coarse space for {RAS} and its multiscale approximation, M.J. Gander, A. Loneland, Domain Decomposition Methods in Science and Engineering XXIII, LNCSE, Springer-Verlag, pp. 281-288, 2016.
On the limitations of sweeping type preconditioners for wave propagation, M.J. Gander, Mini-Workshop on Fast Solvers for Highly Oscillatory Problems, Oberwolfach Report 50, 2016.
Time Parallelization for Nonlinear Problems Based on Diagonalization , M.J. Gander, L. Halpern, Domain Decomposition Methods in Science and Engineering XXIII, LNCSE, Springer-Verlag, pp. 145-152, 2016.
Closed Form Inverse of Local Multi-Trace Operators , A. Ayala, X. Claeys, V. Dolean, M.J. Gander, Domain Decomposition Methods in Science and Engineering XXIII, LNCSE, Springer-Verlag, pp. 97-104, 2016.
Optimized Schwarz Methods for Heterogeneous Helmholtz and Maxwell's Equations, V. Dolean, M.J. Gander, E. Veneros, H. Zhang, Domain Decomposition Methods in Science and Engineering XXIII, LNCSE, Springer-Verlag, pp. 129-136, 2016.
On Nilpotent Subdomain Iterations, F. Chaouqui, M.J. Gander, K. Santugini-Repiquet, Domain Decomposition Methods in Science and Engineering XXIII, LNCSE, Springer-Verlag, pp. 113-120, 2016.
DDFV Ventcell Schwarz Algorithms, M.J. Gander, L. Halpern, F. Hubert and S. Krell, Domain Decomposition Methods in Science and Engineering XXII, LNCSE, Springer-Verlag, pp. 481-489, 2016.
On the minimal shift in the shifted Laplacian preconditioner for multigrid to work, P-H. Cocquet and M.J. Gander, Domain Decomposition Methods in Science and Engineering XXII, LNCSE, Springer-Verlag, pp. 137-145, 2016.
On the Relation between Optimized Schwarz Methods and Source Transfer, Z. Chen, M.J. Gander and H. Zhang, Domain Decomposition Methods in Science and Engineering XXII, LNCSE, Springer-Verlag, pp. 217-225, 2016.
A direct solver for time parallelization, M.J. Gander L. Halpern, J. Ryan and T.T.B. Tran, Domain Decomposition Methods in Science and Engineering XXII, LNCSE, Springer-Verlag, pp. 491-499, 2016.
Optimized Schwarz method with two-sided transmission conditions in an unsymmetric domain decomposition, M.J. Gander and Y. Xu, Domain Decomposition Methods in Science and Engineering XXII, LNCSE, Springer-Verlag, pp. 631-639, 2016.
Schwarz Methods for Second Order Maxwell Equations in 3D with Coefficient Jumps, V. Dolean, M.J. Gander and E. Veneros, Domain Decomposition Methods in Science and Engineering XXII, LNSCE, pp. 471-479, Springer-Verlag, 2016.
Schwarz Methods for the Time-Parallel Solution of Parabolic Control Problems, M.J. Gander and F. Kwok, Domain Decomposition Methods in Science and Engineering XXII, LNCSE, pp. 207-216, Springer-Verlag, 2016.
Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation for the Wave Equation, M.J. Gander, F. Kwok and B.C. Mandal, Domain Decomposition Methods in Science and Engineering XXII, LNCSE, pp. 501-509, Springer-Verlag, 2016.
Multitrace formulations and the Dirichlet-Neumann algorithm, V. Dolean and M.J. Gander, Domain Decomposition Methods in Science and Engineering XXII, LNCSE, Springer-Verlag, pp. 147--155, 2016.
Optimized Schwarz Methods for curl-curl time-harmonic Maxwell's equations, V. Dolean, M.J. Gander, S. Lanteri, J-F. Lee and Z. Peng, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 587--596, 2014.
The Origins of the Alternating Schwarz Method, M.J. Gander and G. Wanner, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 487-496, 2014.
On the Origins of Iterative Substructuring Method, M.J. Gander and X. Tu, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 597-605, 2014.
Block Jacobi for discontinuous Galerkin discretizations: no ordinary Schwarz methods, M.J. Gander and S. Hajian, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 305-314, 2014.
Optimized Schwarz algorithms in the framework of DDFV schemes, M.J. Gander, F. Hubert and S. Krell, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 457--466, 2014.
A New Coarse Grid Correction for RAS/AS, M.J Gander, L. Halpern and K. Santugini-Repiquet, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 275-284, 2014.
Fuzzy Domain Decomposition: a new perspective on heterogeneous DD methods, M.J Gander and J. Michaud, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 265-274, 2014.
Discontinuous Coarse Spaces for DD-Methods with Discontinuous Iterates, M.J Gander, L. Halpern and K. Santugini-Repiquet, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 607--616, 2014.
DG discretization of optimized Schwarz methods for Maxwell's equations, M. El Bouajaji, V. Dolean, M.J. Gander, S. Lanteri, R. Perrussel, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 217-226, 2014.
Optimized interface preconditioners for the FETI method, M.J Gander and H. Zhang, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 657-666, 2014.
On the influence of curvature on transmission conditions, H. Barucq, M.J Gander and Y. Xu, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 323-332, 2014.
Block Jacobi relaxation for plane wave discontinuous Galerkin methods, T. Betcke, M.J Gander and J. Phillips, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 577-586, 2014.
Optimized Schwarz methods with overlap for the Helmholtz equation, M.J Gander and H. Zhang, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 207-215, 2014.
Optimized Schwarz Methods for Maxwell Equations with Discontinuous Coefficients, V. Dolean, M.J. Gander and E. Veneros, Domain Decomposition Methods in Science and Engineering XXI, LNCSE, Springer-Verlag, pp. 517-526, 2014.
Iterative Methods for Helmholtz and Maxwell Equations, M.J. Gander, Oberwolfach Proceedings, 2013.
Optimized Waveform Relaxation Solution of RLCG Transmission Line Type Circuits, M. Al-Khaleel, M.J. Gander and A.E. Ruehli, Proceedings of the 9th International Conference on Innovations in Information Technology, IEEE, Al Ain, UAE, pp. 136-140, 2013.
Decentralized Method for Traffic Monitoring, G. Sartoretti, J.-L. Falcone, B. Chopard and M.J. Gander, in G.C. Sirakoulis and S. Bandini (Eds.): ACRI 2012, LNCS 7495, pp. 464-473, 2012.
Techniques for Locally Adaptive Timestepping Developed over the Last Two Decades, M.J. Gander, L. Halpern, Domain Decomposition Methods in Science and Engineering XX, LNCSE, Springer-Verlag, pp. 377-385, 2013. Slides of the corresponding presentation
Parareal Schwarz Waveform Relaxation Methods, M.J. Gander, Y. Jiang, R. Li, Domain Decomposition Methods in Science and Engineering XX, LNCSE, Springer-Verlag, pp. 451-458, 2013.
Comparison of a one and two parameter family of transmission conditions for Maxwell's equations with damping, M. El Bouajaji, V. Dolean, M.J. Gander, S. Lanteri, Domain Decomposition Methods in Science and Engineering XX, LNCSE, Springer-Verlag, pp. 271-278, 2013.
On the applicability of Lions' energy estimates in the analysis of discrete optimized Schwarz methods with cross points, M.J. Gander, F. Kwok, Domain Decomposition Methods in Science and Engineering XX, LNCSE, Springer-Verlag, pp. 475-483, 2013.
Time domain Maxwell equations and Schwarz Waveform Relaxation methods, Y. Courvoisier, M.J. Gander, Domain Decomposition Methods in Science and Engineering XX, LNCSE, Springer-Verlag, pp. 273-280, 2013.
Domain Decomposition Methods for the Helmholtz Equation: a Numerical Investigation, M.J. Gander, H. Zhang, Domain Decomposition Methods in Science and Engineering XX, LNCSE, Springer-Verlag, pp. 207-216, 2013.
Non shape regular domain decompositions: an analysis using a stable decomposition in H1, M.J. Gander, L. Halpern, K. Santugini-Repiquet, Domain Decomposition Methods in Science and Engineering XX, LNCSE, Springer-Verlag, pp. 485-492, 2013.
Alternating and Linearized Alternating Schwarz Methods for Equidistributing Grids, M.J. Gander, R. D. Haynes, A. J. M. Howse, Domain Decomposition Methods in Science and Engineering XX, LNCSE, Springer-Verlag, pp. 395-402, 2013.
An Asymptotic Approach to Compare Coupling Mechanisms for Different Partial Differential Equations, M.J. Gander, V. Martin, Domain Decomposition Methods in Science and Engineering XX, LNCSE, Springer-Verlag, pp. 359-366, 2013.
Optimized waveform relaxation solution of electromagnetic and circuit problems, M. J. Gander and A. E. Ruehli, in Digest of Electr. Perf. Electronic Packaging, vol. 19, pp. 65-68, 2010. Optimized Schwarz Waveform Relaxation Methods: A Large Scale Numerical Study , M.J. Gander, L. Gouarin, L. Halpern, Domain Decomposition Methods in Science and Engineering XIX, LNCSE, Springer-Verlag, 2010.
Can the Discretization Modify the Performance of Schwarz Methods? , V. Dolean and M.J. Gander, Domain Decomposition Methods in Science and Engineering XIX, LNCSE, Springer-Verlag, 2010.
How Close to the Fully Viscous Solution can one get When Inviscid Approximations are Used in Subregions ? , M.J. Gander, , L. Halpern and V. Martin, Domain Decomposition Methods in Science and Engineering XIX, LNCSE, Springer-Verlag, 2010.
Optimized Schwarz Methods for Maxwell's Equations , V. Dolean, M. El Bouajaji, M.J. Gander and S. Lanteri, Domain Decomposition Methods in Science and Engineering XIX, LNCSE, Springer-Verlag, 2010.
Optimal Interface Conditions for an Arbitrary Decomposition into Subdomains, M.J. Gander and F. Kwok, Domain Decomposition Methods in Science and Engineering XIX, LNCSE, Springer-Verlag, 2010.
Domain decomposition methods for electromagnetic wave propagation problems in heterogeneous media and complex domains , V. Dolean, M. El Bouajaji, M.J. Gander, S. Lanteri and R. Perrussel, Domain Decomposition Methods in Science and Engineering XIX, LNCSE, Springer-Verlag, 2010.
The Pole Condition: a Pade Approximation of the Dirichlet to Neumann Operator, M.J. Gander and A. Schaedle, Domain Decomposition Methods in Science and Engineering XIX, LNCSE, Springer-Verlag, 2010.
Schwarz Waveform Relaxation Algorithms with Nonlinear Transmission Conditions for Reaction-Diffusion Equations, F. Caetano, M.J. Gander, L. Halpern and J. Szeftel, Domain Decomposition Methods in Science and Engineering XIX, LNCSE, Springer-Verlag, 2010.
Schwarz Waveform Relaxation Methods for Systems of Semi-Linear Reaction-Diffusion Equations, S. Descombes, V. Dolean and M.J. Gander, Domain Decomposition Methods in Science and Engineering XIX, LNCSE, Springer-Verlag, 2010.
An Algorithm for Non-Matching Grid Projections with Linear Complexity, M.J. Gander and C. Japhet, Domain Decomposition Methods in Science and Engineering XVIII, LNCSE, pp. 185-192, Springer-Verlag, 2009. Slides of the corresponding presentation
Convergence Behavior of a Two-Level Optimized Schwarz Preconditioner, O. Dubois and M.J. Gander, Domain Decomposition Methods in Science and Engineering XVIII, LNCSE, pp. 177-184, Springer-Verlag, 2009.
A Discovery Algorithm for the Algebraic Construction of Optimized Schwarz Preconditioners, A. St-Cyr and M.J. Gander, Domain Decomposition Methods in Science and Engineering XVIII, LNCSE, pp. 355-362, Springer-Verlag, 2009.
Analysis of a Modified Parareal Algorithm for Second-Order Ordinary Differential Equations , M.J. Gander and M. Petcu, Proceedings of ICNAAM 2007.
Nonlinear Convergence Analysis for the Parareal Algorithm , M.J. Gander and E. Hairer, Proceedings of the 17th International Conference on Domain Decomposition Methods, 2007. Slides of the corresponding presentation
An Optimized Schwarz Waveform Relaxation Algorithm for Micro-Magnetics, M.J. Gander, L. Halpern, S. Labbe and K. Santugini-Repiquet, Proceedings of the 17th International Conference on Domain Decomposition Methods, 2007.
Why Classical Schwarz Methods Applied to Hyperbolic Systems Can Converge even Without Overlap, V. Dolean and M.J. Gander, Proceedings of the 17th International Conference on Domain Decomposition Methods, 2007.
Waveform Relaxation Technique for Longitudinal Partitioning of Transmission Lines, M.J. Gander, M. Al-Khaleel, and A. Ruehli, IEEE Topical Meeting on Electrical Performance of Electronic Packaging (EPEP'06), pp. 207-210, 2006.
On the Superlinear and Linear Convergence of the Parareal Algorithm, M.J. Gander and S. Vandewalle, Proceedings of the 16th International Conference on Domain Decomposition Methods, in print, 2005.
A Schwarz Waveform Relaxation Method for Advection-Diffusion-Reaction Problems with Discontinuous Coefficients and non-Matching Grids, M.J. Gander, L. Halpern, and M. Kern, Proceedings of the 16th International Conference on Domain Decomposition Methods, in print, 2005.
Optimized Schwarz methods in spherical geometry with an overset grid system, J. Côté, M.J. Gander, L. Laayouni and A. Qaddouri, 16th International Conference on Domain Decomposition Methods, in print, 2005.
Advection Diffusion Problems with Pure Advection Approximation in Subregions, M.J. Gander, L. Halpern, C. Japhet and V. Martin, 16th International Conference on Domain Decomposition Methods, in print, 2005.
Optimized Restricted Additive Schwarz Methods, A. St-Cyr, M.J. Gander and S. Thomas, 16th International Conference on Domain Decomposition Methods, in print, 2005.
Optimized Overlapping Schwarz Methods for Parabolic PDEs with Time-Delay, M.J. Gander and S. Vandewalle, Domain Decomposition Methods in Science and Engineering, LNCSE 40, Springer Verlag, pp. 291-298, 2004.
Comparison of the Dirichlet-Neumann and Optimal Schwarz Method on the Sphere, J. Côté, M.J. Gander, L. Laayouni and S. Loisel, Domain Decomposition Methods in Science and Engineering, LNCSE 40, Springer Verlag, pp. 235-242, 2004.
Nonlinear Advection Problems and Overlapping Schwarz Waveform Relaxation, M.J. Gander and C. Rohde, Domain Decomposition Methods in Science and Engineering, LNCSE 40, Springer Verlag, pp. 251-258, 2004.
A New Cement to Glue Nonconforming Grids with Robin Interface Conditions : The Finite Element Case, M.J. Gander, C. Japhet, Y. Maday and F. Nataf, Domain Decomposition Methods in Science and Engineering, LNCSE 40, Springer Verlag, pp. 259-266, 2004.
Solution of Large Transmission Line Type Circuits Using a New Optimized Waveform Relaxation Partitioning, M.J. Gander and A.E. Ruehli, EMI, Boston, 2003.
A Non-Overlapping Optimized Schwarz Method which Converges with Arbitrarily Weak Dependence on h, M.J. Gander and G.H. Golub, Proceedings of the 14th International Conference on Domain Decomposition, published by National Autonomous University of Mexico, pp. 281-288, 2003.
Optimized Schwarz Methods for Helmholtz Problems, M.J. Gander, Proceedings of the 13th International Conference on Domain Decomposition, CIMNE, pp. 245-252, 2001.
Overlapping Schwarz Waveform Relaxation for Convection Reaction Diffusion Problems, Daoud S. Daoud and M.J. Gander, Proceedings of the 13th International Conference on Domain Decomposition, CIMNE, pp. 227-233, 2001.
Optimized Schwarz Algorithms for Coupling Convection and Convection-Diffusion Problems, M.J. Gander, L. Halpern and C. Japhet, Proceedings of the 13th International Conference on Domain Decomposition, CIMNE, pp. 253-260, 2001.
Optimized Schwarz Methods, M.J. Gander, L. Halpern and F. Nataf, Proceedings of the 12th International Conference on Domain Decomposition, ddm.org, pp. 15-27, 2000.
Domain decomposition methods for wave propagation. Mathematical and numerical aspects of wave propagation. M.J. Gander, L. Halpern and F. Nataf, SIAM, Santiago de Compostela, pp. 310-314, 2000.
Optimal Convergence for Overlapping and Non-Overlapping Schwarz Waveform Relaxation, M.J. Gander, L. Halpern and F. Nataf, in Proceedings of the 11th International Conference on Domain Decomposition, ddm.org, pp. 27-36, 1999.
Overlapping Multi-Subdomain Asynchronous Fixed Point Methods for Elliptic Boundary Value Problems, J. C. Miellou, M. Laaraj and M.J. Gander, 7th International Colloquium on Numerical Analysis and Computer Science with Applications, PlovDiv, Bulgaria, 1998.
Overlapping Schwarz Waveform Relaxation for Parabolic Problems, M.J. Gander, Proceedings of the 10th International Conference on Domain Decomposition, AMS, Contemporary Mathematics series, pp. 425-431, 1998.
Overlapping Schwarz Waveform Relaxation for Parabolic Problems in Higher Dimension, M.J. Gander and H. Zhao, Proceedings of Algoritmy 97, pp. 42-51, 1997.
Overlapping Schwarz for Linear and Nonlinear Parabolic Problems, M.J. Gander, Proceedings of the 9th International Conference on Domain Decomposition, ddm.org, pp. 97-104, 1996.
ALAMODE: A Layered Model Development Environment, D.W. Yergeau, E.C. Kan, M.J. Gander, and R.W. Dutton, Simulation of Semiconductor Devices and Processes, vol. 6, pp. 66-69, Springer-Verlag, 1995.
On the Secret-Key Rate of Binary Random Variables, M.J. Gander and U. Maurer, Proc. 1994 IEEE International Symposium on Information Theory, Trondheim, Norway.(extended german version)
   
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