Continuous Runge-Kutta-Nyström methods for initial value problems with periodic solutions

Computers and Mathematics with Applications

Volumn 42, Issue 8-9, 2001, Pages 1165-1176

  Papageorgiou, G ^a   Famelis, I Th ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Continuous extensions; Explicit Runge Kutta Nystr m; Phase lag; Scaling

Indexed keywords

ALGORITHMS; INITIAL VALUE PROBLEMS; OSCILLATIONS; PROBLEM SOLVING;

CONTINUOUS EXTENSIONS;

RUNGE KUTTA METHODS;

EID: 0035943316     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)00230-9     Document Type: Article

References (9)

1. Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions
2. High phase-lag order Runge-Kutta and Nyström Pairs
3. Scaled Runge-Kutta Nyström methods for the second order differential equation ÿ = f(x,y)
4. High-order embedded Runge-Kutta-Nyström formulae
5. Stabilization of Cowell's classical finite difference methods for numerical integration
6. Stabilization of Cowell's methods
7. Diagonally implicit Runge-Kutta (-Nyström) methods for oscillatory problems