On order 5 symplectic explicit Runge-Kutta Nyström methods (Q5930747)
From MaRDI portal
scientific article; zbMATH DE number 1590587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On order 5 symplectic explicit Runge-Kutta Nyström methods |
scientific article; zbMATH DE number 1590587 |
Statements
On order 5 symplectic explicit Runge-Kutta Nyström methods (English)
0 references
24 April 2001
0 references
This paper constructs a family of symplectic explicit Runge-Kutta Nyström methods of order 5 with either 6 or 7 stages (FSAL type) in which the free parameters are chosen to minimize the local truncation error. Numerical comparisons on separable Hamiltonian problems show that these methods are significantly more efficient than 5 stage order 5 symplectic methods despite the extra function evaluations.
0 references
error bounds
0 references
symplectic explicit Runge-Kutta Nyström methods
0 references
separable Hamiltonian problems
0 references
