Efficient integration of ordinary differential equations by transformation

DOI10.1016/0898-1221(88)90173-3zbMath0686.65035OpenAlexW2029685216MaRDI QIDQ1262705

Wen Zhang, Lawrence F. Shampine

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90173-3

zbMATH Keywords

parametertransformationstiff systemBessel's equationnonlinear springslowly varying Jacobian

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

A parametric transformation at numerical integration of ODE

Cites Work

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• A study of extrapolation methods based on multistep schemes without parasitic solutions
• Numerical integration of ordinary differential equations based on trigonometric polynomials
• Stabilization of Cowell's method
• Efficiency of Phase Function Methods for Sturm-Liouville Eigenvalues
• Kepler discretization in regular celestial mechanics
• On Testing a Subroutine for the Numerical Integration of Ordinary Differential Equations
• On Extrapolation Algorithms for Ordinary Initial Value Problems
• Comparing Numerical Methods for Ordinary Differential Equations
• Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants

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