DESI methods for stiff initial-value problems

DOI10.1145/235815.235818zbMath0884.65077OpenAlexW2012133821WikidataQ113310369 ScholiaQ113310369MaRDI QIDQ4371109

M. T. Diamantakis, Jeff R. Cash, John C. Butcher

Publication date: 2 April 1998

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: http://www.acm.org/pubs/contents/journals/toms/1996-22/

zbMATH Keywords

stabilitynumerical resultsstiff problemsbackward differentiation formulaesingly implicit Runge-Kutta methodsDESI methodsdiagonally extended singly implicit Runge-Kutta methods

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) Multiple scale methods for ordinary differential equations (34E13)

Related Items (12)

Singly implicit diagonally extended Runge-Kutta methods of fourth order ⋮ New class of hybrid BDF methods for the computation of numerical solutions of IVPs ⋮ Class 2 + 1 hybrid BDF-like methods for the numerical solutions of ordinary differential equations ⋮ A class of two stage multistep methods in solutions of time dependent parabolic PDEs ⋮ Applications of doubly companion matrices ⋮ Solving nonlinear parabolic PDEs via extended hybrid BDF methods ⋮ Hybrid BDF methods for the numerical solutions of ordinary differential equations ⋮ A comparison of some codes for the stiff oscillatory problem ⋮ Order and effective order ⋮ Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques ⋮ Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs ⋮ The Nørsett time integration methodology for finite element transient analysis

Uses Software

• DESI
• NSDTST
• STDTST

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