Energy-preserving methods for Poisson systems
Copyright policy )Energy-preserving methods for Poisson systems
The authors are concerned with initial value problems attached to systems of ordinary differential equations for which the vector field can be formulated in gradient form. For such problems they introduce and analyze a class of one-step methods which are energy-preserving and are also able to preserve quadratic Casimirs. A numerical test is carried out in order to exemplify the theoretical results.
- University of Zaragoza Spain
- University of Florence Italy
- Universidad de Zaragoza (UNIZAR)/INA Spain
Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems, Applied Mathematics, Linear ordinary differential equations and systems, Energy-preserving methods, Numerical methods for Hamiltonian systems including symplectic integrators, Numerical methods for initial value problems involving ordinary differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Ordinary di erential equations; one-step methods; Poisson problems; Hamiltonian Boundary Value Methods; energy-preserving methods; line integral methods., energy-preserving methods, numerical example, Computational Mathematics, One-step methods, Poisson problems, one-step methods, Line integral methods, line integral methods, initial value problem, Hamiltonian boundary value methods, Ordinary differential equations
Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems, Applied Mathematics, Linear ordinary differential equations and systems, Energy-preserving methods, Numerical methods for Hamiltonian systems including symplectic integrators, Numerical methods for initial value problems involving ordinary differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Ordinary di erential equations; one-step methods; Poisson problems; Hamiltonian Boundary Value Methods; energy-preserving methods; line integral methods., energy-preserving methods, numerical example, Computational Mathematics, One-step methods, Poisson problems, one-step methods, Line integral methods, line integral methods, initial value problem, Hamiltonian boundary value methods, Ordinary differential equations
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