Partial Differential Equations in Action : From Modelling to Theory
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The work Partial Differential Equations in Action : From Modelling to Theory represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Partial Differential Equations in Action : From Modelling to Theory
Resource Information
The work Partial Differential Equations in Action : From Modelling to Theory represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Partial Differential Equations in Action : From Modelling to Theory
 Title remainder
 From Modelling to Theory
 Statement of responsibility
 by Sandro Salsa
 Language

 eng
 eng
 Summary
 This book is designed as an advanced undergraduate or a firstyear graduate course for students from various disciplines like applied mathematics, physics, engineering. The main purpose is on the one hand to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences; on the other hand to give them a solid theoretical background for numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first one has a rather elementary character with the goal of developing and studying basic problems from the macroareas of diffusion, propagation and transport, waves and vibrations. Ideas and connections with concrete aspects are emphasized whenever possible, in order to provide intuition and feeling for the subject. For this part, a knowledge of advanced calculus and ordinary differential equations is required. Also, the repeated use of the method of separation of variables assumes some basic results from the theory of Fourier series, which are summarized in an appendix. The main topic of the second part is the development of Hilbert space methods for the variational formulation and analysis of linear boundary and initialboundary value problems\emph{. }% Given the abstract nature of these chapters, an effort has been made to provide intuition and motivation for the various concepts and results. The understanding of these topics requires some basic knowledge of Lebesgue measure and integration, summarized in another appendix. At the end of each chapter, a number of exercises at different level of complexity is included. The most demanding problems are supplied with answers or hints. The exposition if flexible enough to allow substantial changes without compromising the comprehension and to facilitate a selection of topics for a one or two semester course
 Dewey number
 515.353
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 yLpEBjWug8
 Language note
 English
 LC call number
 QA370380
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Universitext,
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