Nonlinear fixed-h stability of linear multistep formulas

DOI10.1016/0022-247X(77)90172-XzbMath0378.65041MaRDI QIDQ1247008

Farouk Odeh, Werner Liniger

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items

Error bounds for multistep methods revisited, On the numerical integration of nonlinear initial value problems by linear multistep methods, Evaluation of implicit formulas for the solution of ODEs, G-stability is equivalent toA-stability, Contractive methods for stiff differential equations part I, Contractive methods for stiff differential equations Part II, Multiplier techniques for linear multistep methods

Cites Work

• On recurring theorems on diagonal dominance
• A note on unconditional fixed-h stability of linear multistep formulae
• Two Theorems on the Accuracy of Numerical Solutions of Systems of Ordinary Differential Equations
• A note on unconditionally stable linear multistep methods
• A new class of highly-stable methods:A 0-stable methods
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