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Optimized Schwarz waveform relaxation methods for advection reaction diffusion problems. (English) Zbl 1140.65063

The authors develop a new class of waveform relaxation algorithms for large systems of ordinary differential equations arising from discretization of partial differential equations. A number of theorems is developed and presented for convergence, stability of the method and finally experiments are performed for validation. Interesting work.

MSC:

65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35K57 Reaction-diffusion equations
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