Runge-Kutta research in Trondheim

DOI10.1016/S0168-9274(96)00037-2zbMath0870.65064OpenAlexW2058792272MaRDI QIDQ5961746

Brynjulf Owren, Anne Kværnø, Syvert P. Nørsett

Publication date: 17 September 1997

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(96)00037-2

zbMATH Keywords

stabilityRunge-Kutta methodsexplicit methodsorder starsparallel methodsTrondheim

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Development of contemporary mathematics (01A65) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) History of mathematics at specific universities (01A73) History of numerical analysis (65-03)

Related Items (6)

Fourth-order Runge-Kutta schemes for fluid mechanics applications ⋮ On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge-Kutta methods (ELDIRK) for the adaptive solution of phase-field problems ⋮ Derivation of third order Runge-Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation ⋮ Efficiency of diagonally implicit Runge-Kutta time integration schemes in incompressible two-phase flow simulations ⋮ Strong stability of singly-diagonally-implicit Runge-Kutta methods ⋮ Additive Runge-Kutta schemes for convection-diffusion-reaction equations

Uses Software

• RODAS

Cites Work

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