Mono-implicit Runge-Kutta formulae for the numerical solution of second order nonlinear two-point boundary value problems

Journal of Computational and Applied Mathematics

Volumn 143, Issue 2, 2002, Pages 275-289

  Cash, J R ^a   Garcia, M P ^a   Moore, D R ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Mono implicit Runge Kutta methods; ODE; Runge Kutta methods

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; NUMERICAL METHODS; RUNGE KUTTA METHODS;

NUMERICAL SOLUTIONS;

COMPUTATIONAL METHODS;

MATHEMATICAL METHOD;

EID: 0037097867     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00512-X     Document Type: Article

References (22)

1. A new basis implementation for a mixed order boundary value ODE solver
2. Deferred correction for two-point boundary value problems on nonequidistant meshes
3. On the numerical integration of nonlinear two-point boundary value problems using iterated deferred corrections, Part 2: The development and analysis of highly stable deferred correction formulae
4. Runge-Kutta methods for the solution of stiff two-point boundary value problems
5. A high order method for the numerical solution of two-point boundary value problems
6. High order methods for the numerical solution of two-point boundary value problems
7. A deferred correction method for nonlinear two-point boundary value problems: Implementation and numerical evaluation
8. On the generation of mono-implicit Runge-Kutta-Nyström methods by mono-implicit Runge-Kutta methods
9. Efficient classes of Runge-Kutta methods for two-point boundary value problems
10. Runge-Kutta software with defect control for boundary value ODEs
11. Fully nonlinear oscillatory convection in a rotating layer
12. Highly supercritical convection in strong magnetic fields
13. Sensitivity of bifurcations to discretization
14. Resonant interactions in thermosolutal convection