Stability of Runge-Kutta methods used in modular integration

DOI10.1016/0377-0427(94)00078-6zbMath0839.65087OpenAlexW1971240334MaRDI QIDQ1903675

Brynjulf Owren

Publication date: 2 June 1996

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)00078-6

zbMATH Keywords

stabilityRunge-Kutta methodssystemtheta-methodGauss-Seidel methodGauss-Jacobi methodmodular integrationtime point relaxation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (1)

On the numerical stability in dynamical distributed simulations

Cites Work

• Time-point relaxation Runge-Kutta methods for ordinary differential equations
• Contractivity of Runge-Kutta methods with respect to forcing terms
• Automatic Partitioning of Stiff Systems and Exploiting the Resulting Structure
• Partitioning strategies in Runge-Kutta type methods
• Unnamed Item

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