Review Paper: Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations

DOI10.1098/rspa.2003.1130zbMath1048.65070OpenAlexW2016358317MaRDI QIDQ4739612

Jeff R. Cash

Publication date: 6 August 2004

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2003.1130

zbMATH Keywords

A-stabilitydifferential algebraic equationssurvey papernumerical softwarestiff initial-value problemsstiff integration methods

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) 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) Numerical methods for differential-algebraic equations (65L80)

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