On Testing a Subroutine for the Numerical Integration of Ordinary Differential Equations
- 1 October 1973
- journal article
- Published by Association for Computing Machinery (ACM) in Journal of the ACM
- Vol. 20 (4), 545-562
- https://doi.org/10.1145/321784.321786
Abstract
This paper discusses how to numerically test a subroutine for the solution of ordinary differential equations. Results obtained with a variable order Adams method are given for eleven simple test cases.Keywords
This publication has 8 references indexed in Scilit:
- Comparing Numerical Methods for Ordinary Differential EquationsSIAM Journal on Numerical Analysis, 1972
- A comparative study of computer programs for integrating differential equationsCommunications of the ACM, 1972
- Opinions on matters connected with the evaluation of programs and methods for integrating ordinary differential equationsACM SIGNUM Newsletter, 1972
- On shooting methods for boundary value problemsJournal of Mathematical Analysis and Applications, 1969
- Extensions and applications of the Householder algorithm for solving linear least squares problemsMathematics of Computation, 1969
- A Modification of Nordsieck's Method Using an ``Off-Step'' PointJournal of the ACM, 1968
- Predictor-Corrector Methods of High Order With Improved Stability CharacteristicsJournal of the ACM, 1966
- Numerical treatment of ordinary differential equations by extrapolation methodsNumerische Mathematik, 1966