Two-step numerical methods for parabolic differential equations

DOI10.1007/BF01934073zbMath0454.65057OpenAlexW1988738155MaRDI QIDQ1149752

Arieh Iserles

Publication date: 1981

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01934073

zbMATH Keywords

diagonal Obrechkoff methodsstiff, large systemstwo-step \(A\)-stable methods of maximal order

Mathematics Subject Classification ID

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

Related Items (1)

Solving linear ordinary differential equations by exponentials of iterated commutators

Cites Work

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• On the concepts of convergence, consistency, and stability in connection with some numerical methods
• The real-pole sandwich for rational approximations and oscillation equations
• Order stars and stability theorems
• Restricted Padé Approximations to the Exponential Function
• Semidiscrete and single step fully discrete approximations for second order hyperbolic equations
• One-step methods of hermite type for numerical integration of stiff systems
• Stable high order implicit methods for the numerical solution of systems of differential equations

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