Parallel iteration of high-order Runge-Kutta methods with stepsize control

Journal of Computational and Applied Mathematics

Volumn 29, Issue 1, 1990, Pages 111-127

  Van Der Houwen, P J ^a   Sommeijer, B P ^a  

^a CWI   (Netherlands)

Author keywords

Numerical analysis; parallelism; Runge Kutta methods

Indexed keywords

COMPUTER PROGRAMMING--ALGORITHMS; COMPUTER SYSTEMS, DIGITAL--PARALLEL PROCESSING;

INITIAL VALUE PROBLEMS; ORDINARY DIFFERENTIAL EQUATIONS; PARALLEL; PARALLEL ALGORITHMS; RUNGE-KUTTA METHODS; STEPSIZE CONTROL;

MATHEMATICAL TECHNIQUES;

EID: 0025235567     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(90)90200-J     Document Type: Article

References (14)

1. Implicit Runge-Kutta processes
2. High-order explicit Runge-Kutta formulae, their uses, and limitations
3. Classical fifth-, sixth-, seventh-, and eighth-order Runge-Kutta formulas with stepsize control
4. Classical fifth-, sixth-, seventh-, and eighth-order Runge-Kutta formulas with stepsize control
5. A Runge-Kutta method of order 10
6. Note on explicit parallel multistep Runge-Kutta methods
7. Comparing numerical methods for ordinary differential equations
8. On the theory of parallel Runge-Kutta methods
9. Some aspects of parallel Runge-Kutta methods
10. Aspects of parallel Runge-Kutta methods
11. High order embedded Runge-Kutta formulae