Unconditional Convergence of Some Crank-Nicolson Lod Methods for Initial- Boundary Value Problems

DOI10.2307/2153019zbMath0746.65067OpenAlexW2588183499MaRDI QIDQ3987920

Willem H. Hundsdorfer

Publication date: 28 June 1992

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/2353

zbMATH Keywords

stiff systemslocally one-dimensional methodssplitting methodsorder reductionglobal errorunconditional convergenceconsistency orderCrank-Nicolson lod methodsDiscretization in spaceLOD methods

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multiple scale methods for ordinary differential equations (34E13)

Related Items (11)

Fractional step Runge-Kutta methods for time dependent coefficient parabolic problems ⋮ Modified Douglas splitting methods for reaction-diffusion equations ⋮ The effect of the stopping of the Newton iteration in implicit linear multistep methods ⋮ Parallel LOD methods for second order time dependent PDEs ⋮ Application of locally one-dimensional semi-implicit scheme in phase-field equations ⋮ Convergence of the modified Craig-Sneyd scheme for two-dimensional convection-diffusion equations with mixed derivative term ⋮ Trapezoidal and midpoint splittings for initial-boundary value problems ⋮ Convergence in $\ell_2$ and $\ell_\infty$ Norm of One-Stage AMF-W-Methods for Parabolic Problems ⋮ Linearly implicit splitting methods for higher space-dimensional parabolic differential equations ⋮ Weighted sequential splittings and their analysis ⋮ Accuracy and stability of splitting with stabilizing corrections

This page was built for publication: Unconditional Convergence of Some Crank-Nicolson Lod Methods for Initial- Boundary Value Problems