Sobolev gradient methods : Application to Pulse Propagation in Fiber Optics
Language: English
Published by LAP LAMBERT Academic Publishing, 2010
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Add to basketItem description from seller
nach der Bestellung gedruckt Neuware - Printed after ordering - Sobolev gradient methods resolve numerical difficulties in approximating solutions to differential equations and minima of error and energy functionals by construction of inner product spaces that one suitable for the problem at hand. The great efficiency achieved by setting the problem in right Sobolev space, makes steepest descent methods applicable to wide variety of problems. In this monograph, applications of Sobolev gradient methods in finite-difference and finite-element settings are considered for minimization of energy functionals, soliton solutions of the nonlinear Schrodinger equation, and pulse propagation through a fiber optic cable. For each problem, the practical application of the principle of selecting an appropriate Sobolev space setting is demonstrated. The advantages of the Sobolev gradient approach in efficiency and simplicity of implementation are shown. Engineers and computational physicists will find a clear description of the numerical method allowing immediate applications to problems of their interest.…
Seller Inventory # 9783838385013
- Title
- Sobolev gradient methods : Application to Pulse Propagation in Fiber Optics
- Author
- Nauman Raza
- Publisher
- LAP LAMBERT Academic Publishing
- Publication year
- 2010
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3838385012
- ISBN 13
- 9783838385013
- Item weight
- 191 grams
- Dimensions
- 220x150x7 mm
"Synopsis" may belong to another edition of this title.
About the Author
Dr. Nauman Raza is an Assistant Professor at the University of Management and Technology. He has M.Sc. degrees in Mathematics and Telecommunications and a Ph.D. in Mathematics. His research interests are in application of Sobolev gradient methods to partial and integro-differential equations, superconductors and organic diodes.
"About the title" may belong to another edition of this title.
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