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A new family of fourth-order energy-preserving integrators.
- Source :
- Numerical Algorithms; Jul2024, Vol. 96 Issue 3, p1269-1293, 25p
- Publication Year :
- 2024
-
Abstract
- For Hamiltonian systems with non-canonical structure matrices, a new family of fourth-order energy-preserving integrators is presented. The integrators take a form of a combination of Runge–Kutta methods and continuous-stage Runge–Kutta methods and feature a set of free parameters that offer greater flexibility and efficiency. Specifically, we demonstrate that by carefully choosing these free parameters, a simplified Newton iteration applied to the integrators of order four can be parallelizable. This results in faster and more efficient integrators compared with existing fourth-order energy-preserving integrators. [ABSTRACT FROM AUTHOR]
- Subjects :
- RUNGE-Kutta formulas
HAMILTONIAN systems
Subjects
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 96
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 177714113
- Full Text :
- https://doi.org/10.1007/s11075-024-01824-w