Explicit Runge-Kutta methods for the numerical solution of initial value problems
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Charalampos Tsitouras
tsitoura@math.ntua.gr
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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.
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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.
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