Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications (Texts in Applied Mathematics, 54)

Hesthaven, Jan S.; Warburton, Tim

ISBN 10: 0387720650 / ISBN 13: 9780387720654

Published by Springer, 2007

About this Item

Book is clean with a square, tight binding and bright, white pages. Book has minor wear on both covers and spine that is difficult to see in the scans. Interior text is free from any apparent marks. The text offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. This is the first text on DG-FEM, suitable both as a textbook and for self study. All key theoretical results are either derived or discussed, including an overview of relevant results from approximation theory, convergence theory for numerical PDE?s, orthogonal polynomials etc. Through embedded Matlab codes, the algorithms are discussed and implemented for a number of classic systems of PDE?s. Attention is paid to both basic analysis and algorithmic issues. The three appendices contain an overview of orthogonal polynomials and associated library routines used throughout, a brief introduction to grid generation, and an overview of the associated software (where to get it, list of variables etc). A variety of exercises are included at the end of most chapters. We are donsbookstore in Albuquerque New Mexico. The book you see in the image is the actual book we have for sale. When you buy this book from us, you are helping to support a small brick and mortar family owned store. We have been curating our collection for three generations and currently have over 250,000 volumes in stock. Please feel free to call for more stock. Please be aware that if you request any shipping service other than Media Mail Standard Shipping, we may have to ask for more than quoted to ship this large heavy item.

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Bibliographic Details

• Title: Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications (Texts in Applied Mathematics, 54)
• Publisher: Springer
• Publication Date: 2007
• Language: English
• ISBN 10: 0387720650
• ISBN 13: 9780387720654
• Binding: Hardcover
• Printing: 1st Printing
• Condition: Near Fine
• Dust Jacket Condition: No Jacket

About this title

Synopsis

Mathematicsisplayinganevermoreimportantroleinthephysicalandbiol- ical sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and tea- ing, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose ofthistextbookseriesistomeetthecurrentandfutureneedsoftheseadvances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Pasadena, California J.E. Marsden Providence, Rhode Island L. Sirovich College Park, Maryland S.S. Antman Preface The algorithms, methods, and Matlab implementations described in this text have been developed during almost a decade of collaboration. During this time we have worked to simplify the basic methods and make the ideas more accessible to a broad audience. Many people, both students and colleagues, have helped during the development of this project and we are grateful for all their suggestions and input.

From the Back Cover

This book discusses a family of computational methods, known as discontinuous Galerkin methods, for solving partial differential equations. While these methods have been known since the early 1970s, they have experienced an almost explosive growth interest during the last ten to fifteen years, leading both to substantial theoretical developments and the application of these methods to a broad range of problems.

These methods are different in nature from standard methods such as finite element or finite difference methods, often presenting a challenge in the transition from theoretical developments to actual implementations and applications.

This book is aimed at graduate level classes in applied and computational mathematics. The combination of an in depth discussion of the fundamental properties of the discontinuous Galerkin computational methods with the availability of extensive software allows students to gain first hand experience from the beginning without eliminating theoretical insight.

Jan S. Hesthaven is a professor of Applied Mathematics at Brown University.

Tim Warburton is an assistant professor of Applied and Computational Mathematics at Rice University.