A -Stable Composite Multistep Methods

DOI10.1145/321738.321740zbMath0263.65078OpenAlexW1995615802MaRDI QIDQ5679646

Theodore A. Bickart, Harry M. Sloate

Publication date: 1973

Published in: Journal of the ACM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/321738.321740

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (11)

Time-accurate and highly-stable explicit operators for stiff differential equations ⋮ \(G\)-matrices for algebraically stable general linear methods ⋮ On the concepts of convergence, consistency, and stability in connection with some numerical methods ⋮ Optimization of high-order diagonally-implicit Runge-Kutta methods ⋮ High order stiffly stable composite multistep methods for numerical integration of stiff differential equations ⋮ An algebraic approach toA-stable linear multistep-multiderivative integration formulas ⋮ Generalized Predictor-Corrector Methods of High Order for the Time Integration of Parabolic Differential Equations ⋮ A-stable linear multistep methods for Volterra integro-differential equations ⋮ Arithmetic tests forA-stability,A[α-stability, and stiff-stability] ⋮ A-stable one-step methods with step-size control for stiff systems of ordinary differential equations ⋮ P-stable and P[\(\alpha\),\(\beta\)-stable integration/interpolation methods in the solution of retarded differential-difference equations]

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