6533b839fe1ef96bd12a6d7b
RESEARCH PRODUCT
New Families of Symplectic Runge-Kutta-Nyström Integration Methods
José Luis Regidor RosFernando CasasSergio Blanessubject
AlgebraRunge–Kutta methodsKernel (image processing)Lie algebraOrder (group theory)Mathematics::Numerical AnalysisSymplectic geometryHamiltonian systemMathematicsdescription
We present new 6-th and 8-th order explicit symplectic Runge-Kutta-Nystrom methods for Hamiltonian systems which are more efficient than other previously known algorithms. The methods use the processing technique and non-trivial flows associated with different elements of the Lie algebra involved in the problem. Both the processor and the kernel are compositions of explicitly computable maps.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-01-01 |