Modified Multistep Methods Based on a Nonpolynomial Interpolant
- 1 January 1967
- journal article
- Published by Association for Computing Machinery (ACM) in Journal of the ACM
- Vol. 14 (1) , 143-154
- https://doi.org/10.1145/321371.321382
Abstract
A new class of multistep formulas with variable coefficients is derived for the numerical integration of the ordinary differential equation y ′ = f ( x , y ) whose theoretical solution possesses a singularity. A first numerical solution is obtained along with estimates for the behavior of the singularity, and these estimates are then used to obtain further numerical solutions.Keywords
This publication has 3 references indexed in Scilit:
- A generalisation of multistep methods for ordinary differential equationsNumerische Mathematik, 1966
- Numerical technique for solution and error estimate for the initial value problemMathematics of Computation, 1965
- Multistep integration formulasMathematics of Computation, 1963