\(L_ 0\)-stable split linear multistep formulas for parabolic PDEs

DOI10.1016/0898-1221(90)90005-5zbMath0699.65081OpenAlexW2006378855MaRDI QIDQ913467

M. J. Casper, David A. Voss

Publication date: 1990

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(90)90005-5

zbMATH Keywords

finite difference schemesextrapolation methodssemi-implicit Runge-Kutta methods\(L_ 0\)-stabilityCrank- Nicolson methodsplit linear multistep methods

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for boundary value problems involving PDEs (65N40)

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Uses Software

• MEBDF

Cites Work

• Unnamed Item
• The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae
• Split linear multistep methods for the numerical integration of stiff differential systems
• On the integration of stiff systems of O.D.E.s using extended backward differentiation formulae
• Two New Finite Difference Schemes for Parabolic Equations
• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations, II
• Linear Combinations of Generalized Crank Nicolson Schemes
• Coefficients for the study of Runge-Kutta integration processes