A comparison of some codes for the stiff oscillatory problem

DOI10.1016/S0898-1221(98)00108-4zbMath0936.65086OpenAlexW1964315984MaRDI QIDQ1806566

Jeff R. Cash

Publication date: 8 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(98)00108-4

zbMATH Keywords

numerical resultsinitial value problemmagnetohydrodynamic equationscomparison of codesmethod of lines algorithmstiff oscillatory problem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

On variable step highly stable 4-stage Hermite-Birkhoff solvers for stiff ODEs ⋮ Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs

Uses Software

• MEBDF
• DASSL
• RODAS
• Netlib
• DESI

Cites Work

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• An implementation of singly-implicit Runge-Kutta methods
• Comparing numerical methods for stiff systems of O.D.E:s
• The control of order and steplength for backward differentiation methods
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• DESI methods for stiff initial-value problems
• An MEBDF code for stiff initial value problems
• A special stability problem for linear multistep methods