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- Title
An unconditionally stable splitting scheme for a class of nonlinear parabolic equations.
- Authors
Karlsen, KH; Lie, K-A
- Abstract
Proposes a numerical scheme for a class of advection-dominated nonlinear parabolic advection-diffusion-reaction equations. Combined operator splitting/front tracking method; Conservation law models; Splitting of advection from the diffusion/reaction; Method stability; Entropy loss at time steps notably larger than the diffusion scale; Correction step for entropy loss.
- Subjects
NUMERICAL solutions to reaction-diffusion equations; PARABOLIC operators; NUMERICAL solutions to conservation laws; ENTROPY
- Publication
IMA Journal of Numerical Analysis, 1999, Vol 19, Issue 4
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/19.4.609