Enhanced order composition methods

Authors:
J. C. Chang;T. M. H. Chan;D. J. L. Chen
Affiliations:
Department of Information Management, National Yunlin University of Science Technology, Yunlin, Taiwan;Department of Accounting, National Taichung Institute of Technology, Taichung, Taiwan;Department of Business Administration, Ling Tung University, Taichung, Taiwan
Venue:
Applied Numerical Mathematics
Year:
2008

Citing 5
Cited 0

A new theoretical approach to Runge-Kutta methods

SIAM Journal on Numerical Analysis
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems

Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
An introduction to “almost Runge-Kutta” methods

Selected papers of the second international conference on Numerical solution of Volterra and delay equations : Volterra centennial: Volterra centennial
Multi-step zero approximations for stepsize control

Applied Numerical Mathematics - Auckl numerical ordinary differential equations (ANODE 98 workshop)
ARK methods: some recent developments

Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)

Quantified Score

Hi-index	0.00

Visualization

Abstract

We derive a sixth order six-stage explicit Runge-Kutta composition method, and an error estimator using linear combination of stage values and output values over three steps. Numerical results presented by testing the new triple over DETEST problems show a significant feasibility.