Explicit methods based on a class of four stage fourth order Runge-Kutta methods for preserving quadratic laws

Journal of Computational and Applied Mathematics

Volumn 140, Issue 1-2, 2002, Pages 231-243

  Del Buono, N ^a   Mastroserio, C ^a  

^a UNIVERSITY OF BARI   (Italy)

Author keywords

Rational Runge Kutta formulae; Runge Kutta methods; S conservative methods

Indexed keywords

LINEAR SYSTEMS; RUNGE KUTTA METHODS;

QUADRATIC LAWS;

COMPUTATIONAL METHODS;

MATHEMATICAL METHOD;

EID: 0036502132     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00398-3     Document Type: Article

References (12)

1. The numerical analysis of ordinary differential equations
2. Runge-Kutta methods for orthogonal and isospectral flows
3. Numerical solution of isospectral flows
4. On the numerical integration of orthogonal flows with Runge-Kutta methods
5. Stability of Runge-Kutta methods for trajectory problems
6. Stability of Runge-Kutta methods for stiff nonlinear differential equations
7. Numerical methods for Hermitian unitary differential systems
8. Unitary integration and applications to continuous orthonormalization techniques
9. The Cayley transform in the numerical solution of unitary differential systems
10. Variable step-size techniques in continuous Runge-Kutta methods for isospectral dynamical systems