Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach - Couverture rigide
Synopsis
The main emphasis of this work is on stochastic partial differential equations. First the stochastic Poisson equation and the stochastic transport equation are discussed; then the authors go on to deal with the Schrodinger equation, the heat equation, the nonlinear Burgers' equation with a stochastic source, and the pressure equation. The white noise approach often allows for solutions given by explicit formulas in terms of expectations of certain auxiliary processes. The noise in the above examples are all of a Gaussian white noise type. In the end, the authors also show how to adapt the analysis to SPDEs involving noise of Poissonian type.
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Présentation de l'éditeur
In this second edition, the authors build on the theory of SPDEs driven by space-time Brownian motion, or more generally, space-time Lévy process noise. Applications of the theory are emphasized throughout and useful exercises are at the end of each chapter.
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Stochastic partial differential equations : a modeling, white noise functional approach
Edité par
Boston [u.a.] : Birkhäuser, 1996
ISBN 10 : 3764339284
ISBN 13 : 9783764339289
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Couverture rigide
Vendeur : ACADEMIA Antiquariat an der Universität, Freiburg, Allemagne
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Etat : Sehr gut. 1. [Dr.]. Gebunden. Sehr gut erhalten. Hardcover. Very good condition. Sprache: Englisch Gewicht in Gramm: 1. N° de réf. du vendeur 105853
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Stochastic Partial Differential Equations
Edité par
Birkhäuser Boston Aug 1996, 1996
ISBN 10 : 3764339284
ISBN 13 : 9783764339289
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is based on research that, to a large extent, started around 1990, when a research project on fluid flow in stochastic reservoirs was initiated by a group including some of us with the support of VISTA, a research coopera tion between the Norwegian Academy of Science and Letters and Den norske stats oljeselskap A.S. (Statoil). The purpose of the project was to use stochastic partial differential equations (SPDEs) to describe the flow of fluid in a medium where some of the parameters, e.g., the permeability, were stochastic or 'noisy'. We soon realized that the theory of SPDEs at the time was insufficient to handle such equations. Therefore it became our aim to develop a new mathematically rigorous theory that satisfied the following conditions. 1) The theory should be physically meaningful and realistic, and the corre sponding solutions should make sense physically and should be useful in applications. 2) The theory should be general enough to handle many of the interesting SPDEs that occur in reservoir theory and related areas. 3) The theory should be strong and efficient enough to allow us to solve th,~se SPDEs explicitly, or at least provide algorithms or approximations for the solutions. 248 pp. Englisch. N° de réf. du vendeur 9783764339289
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Stochastic Partial Differential Equations
Edité par
Birkhäuser Boston, 1996
ISBN 10 : 3764339284
ISBN 13 : 9783764339289
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Stochastic Partial Differential Equations | A Modeling, White Noise Functional Approach
Edité par
Birkhäuser Boston, 1996
ISBN 10 : 3764339284
ISBN 13 : 9783764339289
Neuf
Couverture rigide
Vendeur : preigu, Osnabrück, Allemagne
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Buch. Etat : Neu. Stochastic Partial Differential Equations | A Modeling, White Noise Functional Approach | Helge Holden (u. a.) | Buch | Englisch | 1996 | Birkhäuser Boston | EAN 9783764339289 | Verantwortliche Person für die EU: Springer Nature c/o IBS, Benzstr. 21, 48619 Heek, tanja[dot]keller[at]springer[dot]com | Anbieter: preigu Print on Demand. N° de réf. du vendeur 101638723
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Stochastic Partial Differential Equations
Edité par
Birkhäuser Boston, Birkhäuser Boston Aug 1996, 1996
ISBN 10 : 3764339284
ISBN 13 : 9783764339289
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book is based on research that, to a large extent, started around 1990, when a research project on fluid flow in stochastic reservoirs was initiated by a group including some of us with the support of VISTA, a research coopera tion between the Norwegian Academy of Science and Letters and Den norske stats oljeselskap A.S. (Statoil). The purpose of the project was to use stochastic partial differential equations (SPDEs) to describe the flow of fluid in a medium where some of the parameters, e.g., the permeability, were stochastic or 'noisy'. We soon realized that the theory of SPDEs at the time was insufficient to handle such equations. Therefore it became our aim to develop a new mathematically rigorous theory that satisfied the following conditions. 1) The theory should be physically meaningful and realistic, and the corre sponding solutions should make sense physically and should be useful in applications. 2) The theory should be general enough to handle many of the interesting SPDEs that occur in reservoir theory and related areas. 3) The theory should be strong and efficient enough to allow us to solve th,~se SPDEs explicitly, or at least provide algorithms or approximations for the solutions. 248 pp. Englisch. N° de réf. du vendeur 9783764339289
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Stochastic Partial Differential Equations : A Modeling, White Noise Functional Approach
Edité par
Birkhäuser Boston, 1996
ISBN 10 : 3764339284
ISBN 13 : 9783764339289
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is based on research that, to a large extent, started around 1990, when a research project on fluid flow in stochastic reservoirs was initiated by a group including some of us with the support of VISTA, a research coopera tion between the Norwegian Academy of Science and Letters and Den norske stats oljeselskap A.S. (Statoil). The purpose of the project was to use stochastic partial differential equations (SPDEs) to describe the flow of fluid in a medium where some of the parameters, e.g., the permeability, were stochastic or 'noisy'. We soon realized that the theory of SPDEs at the time was insufficient to handle such equations. Therefore it became our aim to develop a new mathematically rigorous theory that satisfied the following conditions. 1) The theory should be physically meaningful and realistic, and the corre sponding solutions should make sense physically and should be useful in applications. 2) The theory should be general enough to handle many of the interesting SPDEs that occur in reservoir theory and related areas. 3) The theory should be strong and efficient enough to allow us to solve th,~se SPDEs explicitly, or at least provide algorithms or approximations for the solutions. N° de réf. du vendeur 9783764339289
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