Numerical solution of convection-diffusion equations using a nonlinear method of upwind type (DOI 10.1007/s10915-008-9260-2)

• ID: 2435, RIV: 10027887
• ISSN: 0885-7474, ISBN: not specified
• source: Journal of Scientific Computing
• keywords: Numerical; solution; convection-diffusion; equations; using; nonlinear; method; upwind; 1007/s10915-008-9260-2
• authors: Petr Knobloch
• authors from KNM: Knobloch Petr

Abstract

We extend the Mizukami-Hughes method to the whole range of the diffusion parameter and prove that the extended method satisfies the discrete maximum principle.