Existence and stability of equilibrium states of Runge-Kutta schemes

DOI10.1007/BF02576146zbMath0726.65081OpenAlexW2080747715MaRDI QIDQ804249

Giuseppe Piazza, Giovanni Di Lena

Publication date: 1990

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02576146

zbMATH Keywords

discrete dynamical systemslocal errorvariable stepsize 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Cites Work

• Equilibrium states of Runge Kutta schemes
• Equilibrium states of Runge-Kutta schemes: part II

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