Two-step boundary value methods in the solution of ODEs

DOI10.1016/0898-1221(93)90088-DzbMath0780.65040MaRDI QIDQ2367584

Yanyan Li

Publication date: 19 September 1993

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

zbMATH Keywords

numerical testsparallel computationstability regionstwo-step boundary value methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

Boundary value methods for the solution of differential-algebraic equations ⋮ Bounds for the solutions of a class of tridiagonal linear systems ⋮ Boundary value methods based on Adams-type methods ⋮ Stability of some boundary value methods for IVPs ⋮ Parallel block preconditioning for the solution of boundary value methods ⋮ Two-Step Multi-Derivative Boundary Value Methods for Linear IVPs^∗ ⋮ Stability of some boundary value methods for the solution of initial value problems ⋮ A parallel preconditioning technique for boundary value methods ⋮ Stability properties of some boundary value methods

Cites Work

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• Tridiagonal matrices: Invertibility and conditioning
• Discrete numerical methods in physics and engineering
• Long-range numerical solution of mildly non-linear parabolic equations
• Boundary Value Techniques for Initial Value Problems in Ordinary Differential Equations
• An Analysis of "Boundary-Value Techniques" for Parabolic Problems