Numerical Solutions by the Continuation Method

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1973 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Review, volume 15, pages 89-119 (issn: 0036-1445, eissn: 1095-7200,

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Authors: Wasserstrom, E.;

doi: 10.1137/1015003

Numerical Solutions by the Continuation Method

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Abstract

Summary: The continuation method is developed with a special emphasis on its suitability for numerical solutions on fast computers. Four problems are treated in detail: finding roots of a polynomial, boundary value problems of nonlinear equations, identification of parameters and eigenvalue problems of linear ordinary differential operators. Numerical results are given for these problems. Finally, the continuation method is compared to iterative methods and several schemes which combine them are proposed.

Keywords

Numerical solution of boundary value problems involving ordinary differential equations

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