Phase Space Error Control for Dynamical Systems

DOI10.1137/S1064827597331400zbMath0963.65140MaRDI QIDQ4509832

Desmond J. Higham, Richard J. Wain

Publication date: 19 October 2000

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

stabilityfixed pointdynamical systemsadaptivityexplicit Runge-Kutta methodslong time simulationsvariable stepsize methodsphase space error control

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) Simulation of dynamical systems (37M05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Numerical nonlinear stabilities in dynamical systems (65P40)

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