Beyond conventional Runge-Kutta methods in numerical integration of ODEs and DAEs by use of structures and local models

DOI10.1016/j.cam.2006.04.028zbMath1122.65065OpenAlexW2110868241MaRDI QIDQ879410

Laurent O. Jay

Publication date: 11 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2006.04.028

zbMATH Keywords

symmetrynumerical examplesHamiltoniandifferential algebraic equationsholonomic constraintsLagrangianRunge-Kutta methodsadditivitycorrectionGauss methodslocal modelvariational integratorsDAEssymplecticness

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) 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 differential-algebraic equations (65L80) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (3)

On an asymptotic method for computing the modified energy for symplectic methods ⋮ Variational collision integrator for polymer chains ⋮ Analytical solution of a nonlinear index-three DAEs system modelling a slider-Crank mechanism

Cites Work

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