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Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations

Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations

Paperback

Series: Mathematical Analysis and Applications, Book 7

General MathematicsPhysics

ISBN10: 0367395401
ISBN13: 9780367395407
Publisher: Crc Pr Inc
Published: Sep 11 2019
Pages: 328
Weight: 1.30
Height: 0.80 Width: 6.90 Depth: 9.90
Language: English
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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General Mathematics