A stepsize control strategy for stiff systems of ordinary differential equations

DOI10.1016/0168-9274(94)00042-5zbMath0819.65115OpenAlexW1989248087WikidataQ126866954 ScholiaQ126866954MaRDI QIDQ1339344

Linda R. Petzold, Peter K. Moore

Publication date: 1 December 1994

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(94)00042-5

zbMATH Keywords

numerical experimentsstiff systemsstiff differential equationsstepsize controlPI controllersstepsize selection strategy

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Multiple scale methods for ordinary differential equations (34E13)

Related Items

Reduction of round-off errors in chemical kinetics, A comparison of preconditioners in the solution of parabolic systems in three space dimensions using DASPK and a high order finite element method, Two methods for the implicit integration of stiff reaction systems

Uses Software

• ODEPACK

Cites Work

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• A PI stepsize control for the numerical solution of ordinary differential equations
• Developing software for time-dependent problems using the method of lines and differential-algebraic integrators
• Comparing numerical methods for stiff systems of O.D.E:s
• Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods