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

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

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Authors: Jan S. Hesthaven, Tim Warburton
Publisher: Springer
Category: Book

List Price: $59.95
Buy New: $44.95
You Save: $15.00 (25%)



New (31) Used (10) from $39.95

Sales Rank: 140518

Media: Hardcover
Edition: 1
Pages: 500
Number Of Items: 1
Shipping Weight (lbs): 1.8
Dimensions (in): 9.3 x 6.3 x 1.1

ISBN: 0387720650
Dewey Decimal Number: 004
EAN: 9780387720654

Publication Date: December 18, 2007
Availability: Usually ships in 1-2 business days
Shipping: Expedited shipping available
Condition: New, unread, unused and in perfect condition with no missing or damaged pages, may have a remainder mark.

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  • Hyperbolic Partial Differential Equations (Courant Lecture Notes)
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  • Spectral Methods for Time-Dependent Problems (Cambridge Monographs on Applied and Computational Mathematics)
  • The Mathematical Theory of Finite Element Methods (Texts in Applied Mathematics)
  • Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer (Computational Fluid and Solid Mechanics)

Editorial Reviews:

Product Description

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. 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, e.g., Maxwell’s equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations. These developments are done in detail in one and two dimensions on general unstructured grids with high-order elements and all essential routines for 3D extensions are also included and discussed briefly. 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.



 

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