Linearly-implicit Runge-Kutta methods based on implicit Runge-Kutta methods

DOI10.1016/0168-9274(93)90129-FzbMath0790.65059MaRDI QIDQ1308558

Jürgen Bruder

Publication date: 23 June 1994

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

zbMATH Keywords

Newton-like methodslinearly-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)

Related Items (7)

Numerical results for a parallel linearly-implicit Runge-Kutta method ⋮ Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations ⋮ Stability of Spectral Collocation Schemes with Explicit-Implicit-Null Time-Marching for ConvectionDiffusion and Convection-Dispersion Equations ⋮ Unnamed Item ⋮ The Hilber–Hughes–Taylor-α (HHT-α) method compared with an implicit Runge–Kutta for second-order systems ⋮ An Efficient Fourth Order Implicit Runge-Kutta Algorithm for Second Order Systems ⋮ An efficient implicit Runge-Kutta method for second order systems

Cites Work

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• Partitioned adaptive Runge-Kutta methods for the solution of nonstiff and stiff systems
• Behandlung steifer Anfangswertprobleme gewöhnlicher Differentialgleichungen mit adaptiven Runge-Kutta-Methoden
• On the Butcher group and general multi-value methods

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