Sinossi
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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Informazioni sugli autori
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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Sobolev gradient methods: Application to Pulse Propagation in Fiber Optics
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LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838385012
ISBN 13: 9783838385013
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Sobolev gradient methods
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 116 pp. Englisch. Codice articolo 9783838385013
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Sobolev gradient methods
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Raza NaumanDr. 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 . Codice articolo 5418753
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Sobolev gradient methods
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LAP LAMBERT Academic Publishing Aug 2010, 2010
ISBN 10: 3838385012
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 116 pp. Englisch. Codice articolo 9783838385013
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Sobolev gradient methods : Application to Pulse Propagation in Fiber Optics
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LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838385012
ISBN 13: 9783838385013
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Taschenbuch. Condizione: Neu. 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. Codice articolo 9783838385013
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Sobolev gradient methods | Application to Pulse Propagation in Fiber Optics
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LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838385012
ISBN 13: 9783838385013
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Taschenbuch. Condizione: Neu. Sobolev gradient methods | Application to Pulse Propagation in Fiber Optics | Nauman Raza (u. a.) | Taschenbuch | 116 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783838385013 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Codice articolo 107439558
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