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| :: Purpose and Summary |
Predicting the future is a difficult task but, as with the weather, it
is possible with good models. But how does one predict the far future
before the near future is known? Time parallel time integration, also
known as PinT (Parallel-in-Time) methods, aims to predict the near and
far future simultaneously. In this self-contained book, the first on
the topic, readers will find a comprehensive and up-to-date
description of methods and techniques that have been developed to do
just this.
We describe the four main classes of PinT methods: shooting-type
methods, waveform relaxation methods, time parallel multigrid methods,
and direct time parallel methods. In addition, we provide:
- historical background for each of the method classes,
- complete convergence analyses for the most representative variants
of the methods in each class, and
- illustrations and runnable MATLAB code.
An ideal introduction to this exciting and very active research field,
Time Parallel Time Integration can be used for independent study or
for a graduate course.
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