Sun, Tong Stability and error analysis on partially implicit schemes. (English) Zbl 1076.65079 Numer. Methods Partial Differ. Equations 21, No. 4, 843-858 (2005). The author uses an exact error propagation and a discrete scheme smoothing approach to give a posteriori stability and error analysis for a parabolic problem. Reviewer: Răzvan Răducanu (Iaşi) Cited in 1 ReviewCited in 2 Documents MSC: 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 65M15 Error bounds for initial value and initial-boundary value problems involving PDEs 35K15 Initial value problems for second-order parabolic equations 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs Keywords:subdomanin techniques; explicit methods; a posteriori stability; error analysis; parabolic problem PDFBibTeX XMLCite \textit{T. Sun}, Numer. Methods Partial Differ. Equations 21, No. 4, 843--858 (2005; Zbl 1076.65079) Full Text: DOI References: [1] and On an efficient parallel algorithm for solving time dependent partial differential equations, Proceedings of the 1998 International Conference on Parallel and Distributed Processing Technology and Applications, H. R. Arabnia, editor, CSREA Press, Athens, GA, 1998, pp. 357-372. [2] Galerkin finite element methods for parabolic problems, Springer, New York, 1997. · Zbl 0884.65097 · doi:10.1007/978-3-662-03359-3 [3] Numerical analysis of semilinear parabolic problems, The Graduate Student’s Guide to Numerical Analysis ’98, and editors, SSCM Vol. 26, Springer-Verlag, 1999, pp. 83-117. [4] Sun, Applications & Algorithms 9 pp 115– (2002) [5] Sun, J Comput Appl Math This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.