| Available projects |
Postdoctoral:
- none
Doctoral degree:
- Algebraic optimized
Schwarz methods
Diploma thesis:
- GMRES for advection
diffusion problems
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| :: Publications and Preprints |
Refereed Journal Publications:
Optimized Schwarz Methods for Maxwells equations
, V. Dolean, M.J. Gander, and L. Gerardo-Giorda,
SIAM Journal on Scientific Computing, 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.
Schwarz Methods in 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 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, 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, to appear in 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 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 Journal on Scientific Computing, 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 Journal on Numerical Analysis, 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 Journal on Scientific Computing, Vol. 29, No. 2, pp. 556-578, 2007.
Slides of the corresponding presentation
Optimized Schwarz
Methods, M.J. Gander,
SIAM Journal on Numerical Analysis, 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 Journal on Scientific Computing, 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,
2003.
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 Journal on Numerical Analysis, 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 Journal on Scientific Computing,
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 Journal on Scientific Computing 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.
Refereed Conference Proceedings:
An Algorithm for Non-Matching Grid Projections with Linear
Complexity, M.J. Gander and C. Japhet, Domain
Decomposition Methods in Science and Engineering XVIII, Lecture
Notes in Computational Science and Engineering, 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, Lecture
Notes in Computational Science and Engineering, pp. 177--184,
Springer-Verlag, 2009.
A Discovery Algorithm for the Algebraic Construction of
Optimized Schwar z Preconditioners, A. St-Cyr and M.J. Gander,
Domain Decomposition Methods in Science and Engineering
XVIII, Lecture Notes in Computational Science and Engineering,
pp. 355--362, Springer-Verlag, 2009.
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.
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, Lecture Notes in
Computational Science and Engineering 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,
Lecture Notes in Computational Science and Engineering 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, Lecture Notes in Computational
Science and Engineering 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, Lecture Notes in Computational Science and
Engineering 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)
Books, Book Chapters:
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.
Optimized Domain Decomposition Methods, M.J. Gander and F. Nataf,
research monograph, in progress, 120 pages. (table of contents)
Introduction to Scientific Computing using Maple and Matlab,
M.J. Gander, W. Gander and D. Gruntz, textbook, in progress, 185 pages.
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:
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
Schlüsselgenerierungsprotokolle, Masters Thesis, ETH Zürich, 1993.
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