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Book Description
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.
About the Author
Prof. V. Lakshmikantham is head of the Department of Mathematical Sciences, Florida Institute of Technology, and President of the International Federation of Nonlinear Analysis (IFNA). His research interests include various branches of nonlinear analysis, and he has published extensively, including 35 monographs and over 400 research articles.
Dr. S. Koksal is Associate Professor in the Department of Mathematical Sciences, Florida Institute of Technology. Her research interests are in differential equations and neural networks.
Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations (Series in Mathematical Analysis and Applications, 7),V. Lakshmikantham,S. Koksal,CRC,0415305284,Applied,Differential Equations - Partial Differential Equations,Differential equations, Nonlinear,Differential equations, Partial,Discrete Mathematics,Iterative methods (Mathematics),Mathematics,Science/Mathematics,Differential equations,Mathematics / Differential Equations,Non-linear science
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