Numerical methods for extremely stiff systems of ordinary differential equations

DOI10.1016/S0307-904X(79)80042-6zbMath0438.65074MaRDI QIDQ1142022

S. H. Smith

Publication date: 1979

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

stiff systemsRichardson's extrapolationimplicit Runge-Kutta procedureL-stable numerical methodsmethods of Rosenbrock type

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

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Cites Work

• Unnamed Item
• On an L-stable method for stiff differential equations
• Some general implicit processes for the numerical solution of differential equations
• On the implementation of implicit Runge-Kutta methods
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• A Method for the Numerical Integration of Coupled First-Order Differential Equations with Greatly Different Time Constants
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
• The automatic integration of ordinary differential equations
• Implicit Runge-Kutta Processes

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