DESIRE: Diagonally extended singly implicit Runge-Kutta effective order methods

DOI10.1023/A:1011623226983zbMath0908.65064OpenAlexW100188788MaRDI QIDQ1127057

M. T. Diamantakis, John C. Butcher

Publication date: 27 October 1998

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011623226983

zbMATH Keywords

numerical examplesstiff systemsdiagonally extended singly-implicit Runge-Kutta effective order 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

The NUMOL solution of time-dependent PDEs using DESI Runge-Kutta formulae ⋮ 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 ⋮ The efficiency of singly-implicit Runge-Kutta methods for stiff differential equations ⋮ 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 ⋮ Effective order of partitioned Runge-Kutta methods ⋮ Symplectic effective order numerical methods for separable Hamiltonian systems ⋮ Order and effective order ⋮ The Nørsett time integration methodology for finite element transient analysis

Uses Software

• DESIRE

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