An improved class of generalized Runge-Kutta methods for stiff problems. II: The separated system case

DOI10.1016/j.amc.2003.09.023zbMath1070.65058OpenAlexW1988646016MaRDI QIDQ706739

Jesús Rojo, Jorge Alvarez

Publication date: 9 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.09.023

zbMATH Keywords

linear stabilityNumerical experimentsStiff problemsgeneralized Runge-Kutta methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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)

Related Items (4)

Hybrid numerical methods for exponential models of growth ⋮ A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations ⋮ Analysis of a Chebyshev-based backward differentiation formulae and relation with Runge–Kutta collocation methods ⋮ Analysis of 2D flexible mechanisms using linear finite elements and incremental techniques

Uses Software

• RODAS

Cites Work

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• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• Implicit Runge-Kutta Processes

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