Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik Corrected operator splitting for nonlinear parabolic equations. (English) Zbl 0951.35080 SIAM J. Numer. Anal. 37, No. 3, 980-1003 (2000). The paper concerns a corrected operator splitting method for solving nonlinear parabolic equations of convection-diffusion type. It is shown that the method generates a compact sequence of approximate solutions which converges to the solution of the problem. Some numerical examples are presented where the operator splitting method and the corrected operator splitting method are compared with respect to accuracy. Reviewer: Laura-Iulia Aniţa (Iaşi) Cited in 17 Documents MSC: 35L65 Hyperbolic conservation laws 35A35 Theoretical approximation in context of PDEs Keywords:front tracking; initial value problem; equations of convection-diffusion type PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{N. H. Risebro}, SIAM J. Numer. Anal. 37, No. 3, 980--1003 (2000; Zbl 0951.35080) Full Text: DOI