Symmetric Runge-Kutta methods and their stability

DOI10.1163/156939803322008182zbMath1029.65074OpenAlexW4246839721MaRDI QIDQ4709706

G. Yu. Kulikov

Publication date: 21 January 2004

Full work available at URL: https://doi.org/10.1163/156939803322008182

zbMATH Keywords

absolute stabilityalgebraic stabilityextrapolation algorithmssymmetric Runge-Kutta methodsdiagonally-implicit Runge-Kutta methodseven-order error approximations

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) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (2)

Inducing multistability in discrete chaotic systems using numerical integration with variable symmetry ⋮ Estimating the domain of absolute stability of a numerical scheme based on the method of solution continuation with respect to a parameter for solving stiff initial value problems

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