Stochastic Partial Differential Equations (Hardcover)
Helge Holden
ISBN 10: 0817639284 ISBN 13: 9780817639280
Editorial: Birkhauser Boston, Berlin, 1996
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Descripción
Descripción:
Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de ref. del artículo 9780817639280
Sinopsis:
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.
Críticas:
"The authors have made significant contributions to each of the areas. As a whole, the book is well organized and very carefully written and the details of the proofs are basically spelled out... This is a rich and demanding book... It will be of great value for students of probability theory or SPDEs with an interest in the subject, and also for professional probabilists." ―Mathematical Reviews
"...a comprehensive introduction to stochastic partial differential equations." ―Zentralblatt MATH
"This book will be invaluable to anyone interested in doing research in white noise theory or in applying this theory to solving real-world problems." ―Computing Reviews
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Detalles bibliográficos
Título: Stochastic Partial Differential Equations (...
Editorial: Birkhauser Boston, Berlin
Año de publicación: 1996
Encuadernación: Hardcover
Condición: new
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Stochastic Partial Differential Equations. A Modeling, White Noise Functional Approach.
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Boston, Mass, Birkhauser Boston., 1996
ISBN 10: 0817639284
ISBN 13: 9780817639280
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230 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Probability and Its Applications. Sprache: Englisch. Nº de ref. del artículo: 2914LB
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Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach
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Hardcover. Condición: Very Good. VERY GOOD hardcover, no marks in text, tight binding, clean exterior. Book. Nº de ref. del artículo: 127224
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Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach
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Birkhäuser Verlag, Boston, MA, 1996
ISBN 10: 0817639284
ISBN 13: 9780817639280
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Librería: Black Cat Hill Books, Oregon City, OR, Estados Unidos de America
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Hardcover. Condición: Very Good+. First Edition; First Printing. Very Good+: shows a mild bump to the lower front corner tip causing a quarter-inch tear in the lamination at that point; mild rubbing to the upper front corner tip and just a tick of wear to the lower rear corner tip; the binding neans very slightly while remaining secure; the text pages are bright and clean. Free of creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. A handsome copy, structurally sound and tightly bound, showing the noted imperfections only. NOT a Remainder or Book-Club, or Ex-Library. Large 8vo (9.5 x 6.35 x 0.65 inches) . Language: English. Weight: 19 ounces. First Edition (1996) , unstated. First Printing indicated by a complete numerical sequence. Bright green laminate boards with white titles and blue designs at the front panel and back-strip. Hardback: Printed Laminate over Boards. 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. ; Probability and its Applications; Large 8vo 9" - 10" tall; xii, 230 pages. Nº de ref. del artículo: 59444
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Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach
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Condición: Très bon. Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach| Holden, Oksendal, Uboe, Zhang |Birkhauser, 1996. In-8° cartonné, 230p. Couverture propre. Dos solide. Intérieur frais sans soulignage ou annotation. Exemplaire de bibliothèque : petit code barre en pied de 1re de couv., cotation au dos, rares et discrets petits tampons à l'intérieur de l'ouvrage. Très bon état général pour cet ouvrage. [BB8+]. Nº de ref. del artículo: 2O-W2SF-7Y92
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Stochastic Partial Differential Equations : A Modeling, White Noise Functional Approach (Probability and Its Applications)
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Stochastic Partial Differential Equations : A Modeling, White Noise Functional Approach (Probability and Its Applications)
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Stochastic Partial Differential Equations
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Birkhäuser Boston Aug 1996, 1996
ISBN 10: 0817639284
ISBN 13: 9780817639280
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Buch. Condición: 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. Deutsch. Nº de ref. del artículo: 9780817639280
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Stochastic Partial Differential Equations : A Modeling, White Noise Functional Approach (Probability and Its Applications)
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Stochastic Partial Differential Equations : A Modeling, White Noise Functional Approach
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Buch. Condición: 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. Nº de ref. del artículo: 9780817639280
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Stochastic Partial Differential Equations
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