A type-insensitive ODE code based on second derivative formulas

DOI10.1016/0898-1221(81)90032-8zbMath0474.65056OpenAlexW2037896439MaRDI QIDQ1158932

R. Sacks-Davis, Lawrence F. Shampine

Publication date: 1981

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(81)90032-8

zbMATH Keywords

stiff equationssecond derivative formulas

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Computer aspects of numerical algorithms (65Y99)

Related Items

Second derivative methods applied to implicit first- and second-order systems, Higher derivative explicit one step methods for non‐linear dynamic problems. Part I: Design and theory, Run time estimation of the spectral radius of Jacobians, The methods of Gellert and of Brusa and Nigro are Padé approximant methods

Cites Work

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• Fixed Leading Coefficient Implementation of SD-Formulas for Stiff ODEs
• Type-Insensitive ODE Codes Based on Implicit A-Stable Formulas
• Stiffness and Nonstiff Differential Equation Solvers, II: Detecting Stiffness with Runge-Kutta Methods
• Second Derivative Multistep Methods for Stiff Ordinary Differential Equations