scientific article; zbMATH DE number 740465
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Publication:4327158
zbMath0818.65070MaRDI QIDQ4327158
Publication date: 3 April 1995
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamiltonian systems\(W\)-transformationsymplectic partitioned Runge-Kutta methodsdiagonally implicit2-stage Lobatto III A method2-stage Lobatto III B method
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) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
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Energy and Quadratic Invariants Preserving Methods for Hamiltonian Systems With Holonomic Constraints ⋮ Runge-Kutta method, finite element method, and regular algorithms for Hamiltonian system ⋮ Arbitrary high-order EQUIP methods for stochastic canonical Hamiltonian systems ⋮ Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs ⋮ Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators ⋮ Numerical investigation of stochastic canonical Hamiltonian systems by high order stochastic partitioned Runge-Kutta methods ⋮ Characterizations and construction of Poisson/symplectic and symmetric multi-revolution implicit Runge-Kutta methods of high order ⋮ Construction of symplectic (partitioned) Runge-Kutta methods with continuous stage ⋮ Construction of high-order Runge-Kutta methods which preserve delay-dependent stability of DDEs ⋮ Time finite element methods: a unified framework for numerical discretizations of ODEs ⋮ Preservation of equilibria for symplectic methods applied to Hamiltonian systems ⋮ High order symplectic integrators based on continuous-stage Runge-Kutta-Nyström methods ⋮ A class of symplectic partitioned Runge-Kutta methods ⋮ Volume preserving RK methods for linear systems
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