Halpern, Laurence Schwarz waveform relaxation algorithms. (English) Zbl 1140.65352 Langer, Ulrich (ed.) et al., Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Berlin: Springer (ISBN 978-3-540-75198-4/pbk). Lecture Notes in Computational Science and Engineering 60, 57-68 (2008). Summary: Optimized Schwarz waveform relaxation algorithms have been developed over the last few years for the computation in parallel of evolution problems. In this paper, we present their main features.For the entire collection see [Zbl 1130.65004]. Cited in 2 Documents MSC: 65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs 65Y05 Parallel numerical computation 35K15 Initial value problems for second-order parabolic equations 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 65F15 Numerical computation of eigenvalues and eigenvectors of matrices Keywords:parallel computation; advection-diffusione quation; convergence; numerical examples; preconditioning; optimized Schwarz waveform relaxation algorithms; evolution problem PDFBibTeX XMLCite \textit{L. Halpern}, Lect. Notes Comput. Sci. Eng. 60, 57--68 (2008; Zbl 1140.65352) Full Text: DOI