Numerical Solutions by the Continuation Method

Eliahu Wasserstrom · SIAM Review · 1973

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.

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