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Generalized Quasilinearization for Nonlinear Problems: 440 (Mathematics and Its Applications) - Hardcover
Inhaltsangabe
The problems of modern society are complex, interdisciplinary and nonlin ear. ~onlinear problems are therefore abundant in several diverse disciplines. Since explicit analytic solutions of nonlinear problems in terms of familiar, well trained functions of analysis are rarely possible, one needs to exploit various approximate methods. There do exist a number of powerful procedures for ob taining approximate solutions of nonlinear problems such as, Newton-Raphson method, Galerkins method, expansion methods, dynamic programming, itera tive techniques, truncation methods, method of upper and lower bounds and Chapligin method, to name a few. Let us turn to the fruitful idea of Chapligin, see [27] (vol I), for obtaining approximate solutions of a nonlinear differential equation u' = f(t, u), u(O) = uo. Let fl' h be such that the solutions of 1t' = h (t, u), u(O) = uo, and u' = h(t,u), u(O) = uo are comparatively simple to solve, such as linear equations, and lower order equations. Suppose that we have h(t,u) s f(t,u) s h(t,u), for all (t,u).
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Reseña del editor
The problems of modern society are complex, interdisciplinary and nonlin ear. ~onlinear problems are therefore abundant in several diverse disciplines. Since explicit analytic solutions of nonlinear problems in terms of familiar, well trained functions of analysis are rarely possible, one needs to exploit various approximate methods. There do exist a number of powerful procedures for ob taining approximate solutions of nonlinear problems such as, Newton-Raphson method, Galerkins method, expansion methods, dynamic programming, itera tive techniques, truncation methods, method of upper and lower bounds and Chapligin method, to name a few. Let us turn to the fruitful idea of Chapligin, see [27] (vol I), for obtaining approximate solutions of a nonlinear differential equation u' = f(t, u), u(O) = uo. Let fl' h be such that the solutions of 1t' = h (t, u), u(O) = uo, and u' = h(t,u), u(O) = uo are comparatively simple to solve, such as linear equations, and lower order equations. Suppose that we have h(t,u) s f(t,u) s h(t,u), for all (t,u).
Reseña del editor
The book provides a systematic development of generalized quasilinearization indicating the notions and technical difficulties that are encountered in the unified approach. It enhances considerably the usefulness of the method of quasilinearization which has proved to be very effective in several areas of investigation and in applications. Further it includes the well-known monotone iterative technique as a special case.
Audience: Researchers, industrial and engineering scientists.
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- VerlagSpringer
- Erscheinungsdatum1998
- ISBN 10 0792350383
- ISBN 13 9780792350385
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten296
- Kontakt zum HerstellerNicht verfügbar
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Generalized Quasilinearization for Nonlinear Problems
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Zustand: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 278 | Sprache: Englisch | Produktart: Bücher. Bestandsnummer des Verkäufers 3023505/202
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Generalized Quasilinearization for Nonlinear Problems.
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Hardcover. 287 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. 9780792350385 Sprache: Englisch Gewicht in Gramm: 900. Bestandsnummer des Verkäufers 2351390
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Generalized Quasilinearization for Nonlinear Problems
Verlag:
Kluwer Academic Publishers, 1998
ISBN 10: 0792350383
ISBN 13: 9780792350385
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Hardcover. Zustand: Very Good. Bookplate, otherwise text clean and solid; no dust jacket; Mathematics and its Applications; 9.21 X 6.14 X 0.69 inches; 286 pages. Bestandsnummer des Verkäufers 208612
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Generalized Quasilinearization for Nonlinear Problems (Mathematics and Its Applications, 440)
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Generalized Quasilinearization for Nonlinear Problems
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Gebunden. Zustand: New. Preface. 1: First Order Differential Equations. 1.0. Introduction. 1.1. Method of Upper and Lower Solutions. 1.2. Method of Quasilinearization. 1.3. Extensions. 1.4. Generalizations. 1.5. Refinements. 1.6. Notes. 2: First Order Differential Equations. (. Bestandsnummer des Verkäufers 458440014
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Generalized Quasilinearization for Nonlinear Problems (Mathematics and Its Applications, 440)
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Generalized Quasilinearization for Nonlinear Problems
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Buch. Zustand: Neu. Neuware - The problems of modern society are complex, interdisciplinary and nonlin ear. ~onlinear problems are therefore abundant in several diverse disciplines. Since explicit analytic solutions of nonlinear problems in terms of familiar, well trained functions of analysis are rarely possible, one needs to exploit various approximate methods. There do exist a number of powerful procedures for ob taining approximate solutions of nonlinear problems such as, Newton-Raphson method, Galerkins method, expansion methods, dynamic programming, itera tive techniques, truncation methods, method of upper and lower bounds and Chapligin method, to name a few. Let us turn to the fruitful idea of Chapligin, see [27] (vol I), for obtaining approximate solutions of a nonlinear differential equation u' = f(t, u), u(O) = uo. Let fl' h be such that the solutions of 1t' = h (t, u), u(O) = uo, and u' = h(t,u), u(O) = uo are comparatively simple to solve, such as linear equations, and lower order equations. Suppose that we have h(t,u) s f(t,u) s h(t,u), for all (t,u). Bestandsnummer des Verkäufers 9780792350385
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