Sobolev gradient methods: Application to Pulse Propagation in Fiber Optics - Softcover

Raza, Nauman; Sial, Sultan

 
9783838385013: Sobolev gradient methods: Application to Pulse Propagation in Fiber Optics
Softcover
ISBN 10: 3838385012 ISBN 13: 9783838385013
Verlag: LAP LAMBERT Academic Publishing, 2010

Inhaltsangabe

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.

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Über die Autorinnen und Autoren

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.

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.

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Verlag
LAP LAMBERT Academic Publishing
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3838385012
ISBN 13 
9783838385013
Einband
Taschenbuch
Anzahl der Seiten
116
Kontakt zum Hersteller
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