The asymptotic discretization error of a class of methods for solving ordinary differential equations
- 1 April 1967
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 63 (2) , 461-472
- https://doi.org/10.1017/s0305004100041414
Abstract
The order and asymptotic form of the error of a general class of numerical method for solving the initial value problem for systems of ordinary differential equations is considered. Previously only the convergence of the methods, which include Runge-Kutta and linear multistep methods, has been discussed.This publication has 6 references indexed in Scilit:
- Convergence and stability of step-by-step methods for the numerical solution of initial-value problemsNumerische Mathematik, 1966
- On the convergence of numerical solutions to ordinary differential equationsMathematics of Computation, 1966
- On the Convergence of Numerical Solutions to Ordinary Differential EquationsMathematics of Computation, 1966
- Hybrid Methods for Initial Value Problems in Ordinary Differential EquationsJournal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis, 1965
- A Modified Multistep Method for the Numerical Integration of Ordinary Differential EquationsJournal of the ACM, 1965
- Generalized Multistep Predictor-Corrector MethodsJournal of the ACM, 1964