The dichotomy of stiffness: Pragmatism versus theory

DOI10.1016/0096-3003(89)90111-2zbMath0671.65048OpenAlexW4245439052MaRDI QIDQ1119343

Kevin Burrage

Publication date: 1989

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90111-2

zbMATH Keywords

surveystiff ordinary differential equationsstiff systemsRunge-Kutta methodslinear multistep methodsstiffnessnumerical softwarebackward differentiation formulascyclic multistep methodsdiagonally implicitsingly implicit

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Implicit runge-kutta methods for differential inclusions ⋮ Observations on evolutionary models with (or without) time lag, and on problematical paradigms ⋮ Positive and conservative schemes for mass action kinetics

Uses Software

• DIFSUB
• ODEPACK
• SPARSKS

Cites Work

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