Understanding <scp>Saul'yev</scp>‐type unconditionally stable schemes from exponential splitting

DOI10.1002/num.21885zbMath1311.65120OpenAlexW2133397982MaRDI QIDQ4982262

Siu A. Chin

Publication date: 24 March 2015

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21885

zbMATH Keywords

convergenceunconditional stabilitysemidiscretizationadvection-diffusion equationexponential splittingSaul'yev schemesCrank-Nicolson algorithm

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) First-order hyperbolic equations (35L02)

Related Items (3)

A diagonal splitting method for solving semidiscretized parabolic partial differential equations ⋮ An efficient alternating direction explicit method for solving a nonlinear partial differential equation ⋮ Some splitting methods for hyperbolic PDEs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Recent progress in the theory and application of symplectic integrators
• Approximation of semi-groups of operators
• Alternating group explicit method for the diffusion equation
• Survey of the stability of linear finite difference equations
• Splitting methods
• A new unconditionally stable explicit scheme for the convection–diffusion equation with Robin boundary conditions
• Group explicit methods for parabolic equations
• On the stability of alternating‐direction explicit methods for advection‐diffusion equations
• On the Construction and Comparison of Difference Schemes
• Some Stable Explicit Difference Approximations to the Diffusion Equation

This page was built for publication: Understanding <scp>Saul'yev</scp>‐type unconditionally stable schemes from exponential splitting