A class of contractive second derivatives multistep methods

DOI10.1016/0096-3003(89)90117-3zbMath0669.65071OpenAlexW4229814196MaRDI QIDQ1118996

Fernanda Patricio, Paula De Oliveira

Publication date: 1989

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90117-3

zbMATH Keywords

stiff differential equationscontractivitysecond derivative multistep methods\(A_ 0\)-contractivityA-contractivity

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

On a class of multistep methods with strong contractivity properties

Cites Work

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• Some simple characterizations of contractivity regions
• Stability of Two-Step Methods for Variable Integration Steps
• G-stability is equivalent toA-stability
• The A-Contractive Second-Order Multistep Formulas with Variable Steps
• Second Derivative Extended Backward Differentiation Formulas for the Numerical Integration of Stiff Systems
• Polynomial Formulation of Second Derivative Multistep Methods
• On error bounds forG-stable methods
• On the numerical integration of nonlinear initial value problems by linear multistep methods
• Contractive methods for stiff differential equations part I
• Contractive methods for stiff differential equations Part II
• Second Derivative Multistep Methods for Stiff Ordinary Differential Equations

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