In this paper E-stable methods of O(h4), O(h8) and O(h12) are derived for the direct numerical integration of initial value problems of second order differential equations with exponentially decreasing solutions. Numerical results are presented for both linear and nonlinear problems. © 1985 BIT Foundations.
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E-stable methods for exponentially decreasing solutions of second order initial value problems
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Kluwer Academic Publishers
Abstract
1985
Description
Keywords
DIRECT NUMERICAL INTEGRATION, E-STABLE METHODS, INITIAL VALUE PROBLEMS, MATHEMATICAL TECHNIQUES
Citation
BIT Numerical Mathematics, 1985, 25, 3, pp. 497-506