Explicit Runge-Kutta methods for the numerical solution of initial value problems

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Abstract

Explicit Runge-Kutta pairs are the most popular methods for integrating non-stiff initial value problems. Basic theory concerning its occuracy, stability and other properties is presented here as long as with implementation issues. Finally a new pair of orders 5(4) suitable for oscillatory problems is presented and tested.

Keywords

order conditions , truncation error , stability , embedded pairs , phase-lag
  • Charalampos Tsitouras Department of Applied Mathematics and Physical Sciences, National Technical University of Athens, Zografou Campus 15780, Athens, Greece.
  • Pages: 177–193
  • Date Published: 2002-06-01
  • Vol. 4 No. 2 (2002): CUBO, Matemática Educacional

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Published

2002-06-01

How to Cite

[1]
C. Tsitouras, “Explicit Runge-Kutta methods for the numerical solution of initial value problems”, CUBO, vol. 4, no. 2, pp. 177–193, Jun. 2002.

Issue

Vol. 4 No. 2 (2002): CUBO, Matemática Educacional

Section

Articles