Cover: On Some Questions Arising in the Approximate Solution of Nonlinear Differential Equations

On Some Questions Arising in the Approximate Solution of Nonlinear Differential Equations

Published 1962

by Richard Ernest Bellman, John M. Richardson

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A new approach to the approximate solution of nonlinear differential equations. The basic idea is to rewrite the nonlinear equations in the form of an infinite sequence of coupled linear equations by applying the Carleman linearization process. The sequence is truncated at a finite stage by a linear closure approximation involving the minimization of the mean square error.

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