A family of embedded Runge-Kutta formulae

Journal of Computational and Applied Mathematics

Volumn 6, Issue 1, 1980, Pages 19-26

  Dormand, J R ^a   Prince, P J ^a  

^a TEESSIDE UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES;

EID: 0018991720     PISSN: 0771050X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0771-050X(80)90013-3     Document Type: Article

References (17)

1. Coefficients for the study of Runge-Kutta integration processes
2. Runge-Kutta processes
3. Comparing Numerical Methods for Ordinary Differential Equations
4. Global error estimation for ordinary differential equations
5. A theoretical criterion for comparing Runge-Kutta formulas
6. Classical fifth, sixth, seventh and eighth order Runge-Kutta formulas with stepsize control
7. Low order classical Runge-Kutta formulas with step-size control and their application to some heat transfer problems
8. Classical eighth and lower order Runge-Kutta-Nystrom formulas with stepsize control for special second order differential equations
9. On Runge-Kutta processes of high order
10. New Runge-Kutta algorithms for numerical simulation in dynamical astronomy
11. An Order Five Runge-Kutta Process with Extended Region of Stability
12. Test results on initial value methods for non-stiff ordinary differential equations
13. Quadrature and Runge-Kutta formulas
14. A stable one-step method with step-size control for stiff systems of ODE's
15. Error estimates for Runge-Kutta type solutions to systems of ordinary differential equations