An explicit two-step method for solving stiff systems of ordinary differential equations

DOI10.1080/00207168708803598zbMath0658.65062OpenAlexW2070649936MaRDI QIDQ3806701

Luciano Lopez

Publication date: 1987

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168708803598

zbMATH Keywords

numerical examplesaccuracystiff systems\(A\)-stability\(A\)-stable methodsexplicit two-step method

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)

Cites Work

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• A block QR algorithm for partitioning stiff differential systems
• Numerical solution of initial-value problems by collocation methods using generalized piecewise functions
• A User’s View of Solving Stiff Ordinary Differential Equations
• Automatic Partitioning of Stiff Systems and Exploiting the Resulting Structure
• Safe Point Methods for Separably Stiff Systems of Ordinary Differential Equations
• Comparing numerical methods for stiff systems of O.D.E:s
• A Fourth Order Exponentially Fitted Method
• A Partially Implicit Method for Large Stiff Systems of ODE<scp>s</scp> with Only Few Equations Introducing Small Time-Constants
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
• Multistep Methods with Variable Matrix Coefficients
• A special stability problem for linear multistep methods

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