Comparing error estimators for Runge-Kutta methods-Reference-Cited by-同舟云学术

Comparing error estimators for Runge-Kutta methods

Published:1971 Issue:115 Volume:25 Page:445-455
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Shampine L. F.,Watts H. A.

Abstract

A way is proposed to compare local error estimators. This is applied to the major estimators for fourth-order Runge-Kutta procedures. An estimator which leads to a production code 18

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1971-25-115/S0025-5718-1971-0297138-9/S0025-5718-1971-0297138-9.pdf

Reference10 articles.

1. Handbook Series Numerical Integration: Numerical solution of ordinary simultaneous differential equations of the 1st order using a method for automatic step change;Christiansen, Jan;Numer. Math.,1970

2. Mathematical Centre Tracts;Zonneveld, J. A.,1964

3. T. E. Hull, The Numerical Integration of Ordinary Differential Equations, Proc. IFIP Congress 68, North-Holland, Amsterdam, 1968, pp. 131-144.

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