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This book studies time-dependent partial differential equations and their numerical solution, developing the analytic and the numerical theory in parallel, and placing special emphasis on the discretization of boundary conditions. The theoretical results are then applied to Newtonian and non-Newtonian flows, two-phase flows and geophysical problems. This book will be a useful introduction to the field for applied mathematicians and graduate students.
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Contenuti
1 Cauchy Problems.- 1.1 Introductory Examples.- 1.2 Well-Posedness.- 1.3 Hyperbolic Systems with Constant Coefficients.- 1.3.1 In One Space Dimension.- 1.3.2 Symmetrizer.- 1.3.3 Multiple Space Dimensions.- 1.4 General Systems with Constant Coefficients.- 1.4.1 Parabolic Systems.- 1.4.2 Mixed Systems.- 1.5 Linear Systems with Variable Coefficients.- 1.6 Remarks.- 2 Half Plane Problems.- 2.1 Hyperbolic Systems in One Dimension.- 2.2 Hyperbolic Systems in Two Dimensions.- 2.3 Well-Posed Half Plane Problems.- 2.4 Well-Posed Problems in the Generalized Sense.- 2.5 Farfield Boundary Conditions.- 2.6 Energy Estimates.- 2.7 First Order Systems with Variable Coefficients.- 2.8 Remarks.- 3 Difference Methods.- 3.1 Periodic Problems.- 3.2 Half Plane Problems.- 3.2.1 Energy Estimates.- 3.2.2 Estimates by using Laplace Transform.- 3.2.3 Error Estimates.- 3.3 Method of Lines.- 3.4 Remarks.- 4 Nonlinear Problems.- 4.1 General Discussion.- 4.2 Initial Value Problems for Ordinary Differential Equations.- 4.3 Existence Theorems for Nonlinear Partial Differential Equations.- 4.4 Perturbation Expansion.- 4.5 Convergence of Difference Methods.- 4.6 Remarks.
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Time dependent partial differential equations and their numerical solution.
Editore:
Basel, Birkhäuser, 2001
ISBN 10: 3764361255
ISBN 13: 9783764361259
Antico o usato
Softcover
Da: Antiquariat Bookfarm, Löbnitz, Germania
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Softcover. 82 S. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02567 9783764361259 Sprache: Englisch Gewicht in Gramm: 150. Codice articolo 2488435
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Time-dependent Partial Differential Equations and Their Numerical Solution
Da: Buchpark, Trebbin, Germania
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Condizione: Sehr gut. Zustand: Sehr gut | Seiten: 92 | Sprache: Englisch | Produktart: Bücher. Codice articolo 501367/202
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Time-dependent Partial Differential Equations and Their Numerical Solution
Print on DemandDa: moluna, Greven, Germania
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book studies time-dependent partial differential equations and their numerical solution, developing the analytic and the numerical theory in parallel, and placing special emphasis on the discretization of boundary conditions. The theoretical results ar. Codice articolo 5279283
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Time-dependent Partial Differential Equations and Their Numerical Solution
Editore:
Springer, Basel, Birkhäuser Basel, Birkhäuser Apr 2001, 2001
ISBN 10: 3764361255
ISBN 13: 9783764361259
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Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and error estimates. Special emphasis is given to boundary conditions and their discretization. We develop a rather general theory of admissible boundary conditions based on energy estimates or Laplace transform techniques. These results are fundamental for the mathematical and numerical treatment of large classes of applications like Newtonian and non-Newtonian flows, two-phase flows and geophysical problems. 82 pp. Englisch. Codice articolo 9783764361259
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Time-dependent Partial Differential Equations and Their Numerical Solution
Da: AHA-BUCH GmbH, Einbeck, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and error estimates. Special emphasis is given to boundary conditions and their discretization. We develop a rather general theory of admissible boundary conditions based on energy estimates or Laplace transform techniques. These results are fundamental for the mathematical and numerical treatment of large classes of applications like Newtonian and non-Newtonian flows, two-phase flows and geophysical problems. Codice articolo 9783764361259
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Time-dependent Partial Differential Equations and Their Numerical Solution
Editore:
Birkhäuser Basel, Birkhäuser Basel Apr 2001, 2001
ISBN 10: 3764361255
ISBN 13: 9783764361259
Nuovo
Taschenbuch
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. Neuware -In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and error estimates. Special emphasis is given to boundary conditions and their discretization. We develop a rather general theory of admissible boundary conditions based on energy estimates or Laplace transform techniques. These results are fundamental for the mathematical and numerical treatment of large classes of applications like Newtonian and non-Newtonian flows, two-phase flows and geophysical problems.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 92 pp. Englisch. Codice articolo 9783764361259
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Time-dependent Partial Differential Equations and Their Numerical Solution (Lectures in Mathematics. ETH Zürich)
Da: Ria Christie Collections, Uxbridge, Regno Unito
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Condizione: New. In. Codice articolo ria9783764361259_new
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Time-Dependent Partial Differential Equations And Their Numerical Solution (Lectures in Mathematics. ETH Z�rich)
Da: Chiron Media, Wallingford, Regno Unito
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Paperback. Condizione: New. Codice articolo 6666-IUK-9783764361259
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Time-dependent Partial Differential Equations and Their Numerical Solution
Da: Books Puddle, New York, NY, U.S.A.
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Condizione: New. pp. 94. Codice articolo 26358146
Quantità: 4 disponibili
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Time-dependent Partial Differential Equations and Their Numerical Solution
Print on DemandDa: Majestic Books, Hounslow, Regno Unito
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Condizione: New. Print on Demand pp. 94 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Codice articolo 7522525
Quantità: 4 disponibili