The automatic integration of ordinary differential equations
- 1 March 1971
- journal article
- Published by Association for Computing Machinery (ACM) in Communications of the ACM
- Vol. 14 (3), 176-179
- https://doi.org/10.1145/362566.362571
Abstract
An integration technique for the automatic solution of an initial value problem for a set of ordinary differential equations is described. A criterion for the selection of the order of approximation is proposed. The objective of the criterion is to increase the step size so as to reduce solution time. An option permits the solution of “stiff” differential equations. A program embodying the techniques discussed appears in Algorithm 407.Keywords
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- On numerical integration of ordinary differential equationsMathematics of Computation, 1962
- Optimal Mesh Size in the Numerical Integration of an Ordinary Differential EquationJournal of the ACM, 1962