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Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course - Softcover
Synopsis
For readers with some competence in PDE solution properties, this book offers an interdisciplinary approach to problems occurring in natural environmental media: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It presents two major discretization methods: Finite Difference and Finite Element, plus a section on practical approaches to ill-posed problems. The blend of theory, analysis, and implementation practicality supports solving and understanding complicated problems.
"synopsis" may belong to another edition of this title.
From the Back Cover
This book concerns the practical solution of Partial Differential Equations (PDEs). It reflects an interdisciplinary approach to problems occurring in natural environmental media: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It assumes the reader has gained some intuitive knowledge of PDE solution properties and now wants to solve some for real, in the context of practical problems arising in real situations. The practical aspect of this book is the infused focus on computation. It presents two major discretization methods – Finite Difference and Finite Element. The blend of theory, analysis, and implementation practicality supports solving and understanding complicated problems. It is divided into three parts. Part I is an overview of Finite Difference Methods. Part II focuses on Finite Element Methods, including an FEM tutorial. Part III deals with Inverse Methods, introducing formal approaches to practical problems which are ill-posed.
Review
From the reviews of the first edition:
"This book concerns the practical solution of partial differential equations and reflects an inter-disciplinary approach to problems occurring in natural environments. ... it is a new innovation for the student community in environmental science and engineering. It is an excellent piece of research." (Prabhat Kumar Mahanti, Zentralblatt MATH, Vol. 1076, 2006)
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2010
- ISBN 10 1441936432
- ISBN 13 9781441936431
- BindingPaperback
- LanguageEnglish
- Number of pages412
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Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course
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Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course
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SPRINGER NATURE Okt 2010, 2010
ISBN 10: 1441936432
ISBN 13: 9781441936431
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -For readers with some competence in PDE solution properties, this book offers an interdisciplinary approach to problems occurring in natural environmental media: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It presents two major discretization methods: Finite Difference and Finite Element, plus a section on practical approaches to ill-posed problems. The blend of theory, analysis, and implementation practicality supports solving and understanding complicated problems. 388 pp. Englisch. Seller Inventory # 9781441936431
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Numerical Partial Differential Equations for Environmental Scientists and Engineers : A First Practical Course
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book concerns the practical solution of Partial Differential Equations. We assume the reader knows what a PDE is - that he or she has derived some, and solved them with the limited but powerful arsenal of analytic techniques. We also assume that (s)he has gained some intuitive knowledge of their solution properties, either in the context of specific applications, or in the more abstract context of applied mathematics. We assume the reader now wants to solve PDE's for real, in the context of practical problems with all of their warts - awkward geometry, driven by real data, variable coefficients, nonlinearities - as they arise in real situations. The applications we envision span classical mathematical physics and the 'engineering sciences' : fluid mechanics, solid mechanics, electricity and magnetism, heat and mass transfer, wave propagation. Of course, these all share a joyous interdisciplinary unity in PDE's. The material arises from lectures at Dartmouth College for first-year graduate students in science and engineering. That audience has shared the above motivations, and a mathematical background including: ordinary and partial differential equations; a first course in numerical an- ysis; linear algebra; complex numbers at least at the level of Fourier analysis; and an ability to program modern computers. Some working exposure to applications of PDE's in their research or practice has also been a common denominator. This classical undergraduate preparation sets the stage for our 'First Practical Course'. Naturally, the 'practical' aspect of the course involves computation. Seller Inventory # 9781441936431
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Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Finite Difference and Finite element methods are both covered in a unified wayThe inverse material is presented in a discipline-specific wayInterdisciplinary at the graduate scientific levelCovers Forward Problem Solution and Inverse. Seller Inventory # 458484930
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Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course
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Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course
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Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course
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