Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations

1st Edition

V. Lakshmikantham, S. Koksal

CRC Press
Published February 27, 2003
Reference - 328 Pages
ISBN 9780415305280 - CAT# TF1641
Series: Mathematical Analysis and Applications

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Summary

A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and hyperbolic type. This volume describes that technique, which has played a valuable role in unifying a variety of nonlinear problems, particularly when combined with the quasilinearization method. The first part of this monograph describes the general methodology using the classic approach, while the second part develops the same basic ideas via the variational technique. The text provides a useful and timely reference for applied scientists, engineers and numerical analysts.

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