Dichotomy and conjugate gradients in the stiff initial value problem

DOI10.1016/0024-3795(81)90219-6zbMath0488.65026OpenAlexW2054493967MaRDI QIDQ1166234

Willard L. Miranker, I.-Liang Chern

Publication date: 1981

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(81)90219-6

zbMATH Keywords

clusteringerror analysisconjugate gradientslinear multistep methodstiff systembackward differentiationprediction techniques

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Reduced storage matrix methods in stiff ODE systems, Exploiting the separability in the solution of systems of linear ordinary differential equations, An explicit two-step method exact for the scalar test equation \(y'= \lambda y\), A sixth-order \(A\)-stable explicit one-step method for stiff systems

Cites Work

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• Invertible Solutions to the Operator Equation TA - BT = C
• A note on unconditionally stable linear multistep methods
• The automatic integration of ordinary differential equations
• Matricial Difference Schemes for Integrating Stiff Systems of Ordinary Differential Equations
• Enveloping an Iteration Scheme