Runge-Kutta discretizations of singularly perturbed gradient equations

DOI10.1023/A:1022359511479zbMath1018.65096OpenAlexW1705139482MaRDI QIDQ1587306

Wolf-Jürgen Beyn, Johannes Schropp

Publication date: 11 September 2003

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022359511479

zbMATH Keywords

singular perturbationdynamical systemsinvariant manifoldsRunge-Kutta methodsstiff minimization problemsgradient differential equations

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) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Singular perturbations for ordinary differential equations (34E15) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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