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

US: Springer, 2010. Paperback. Very Good. This book offers an introduction to the key ideas, basic analysis, and effi cient implementation of discontinuous Galerkin finite element methods (DG-F EM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant re sults from approximation theory, convergence theory for numerical PDE's, an d orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE's: Ma xwell's equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations. Editorial Reviews Review From the reviews: "This book provides comprehensive coverage of the major aspects of the DG-F EM, from derivation, analysis and implementation of the method to simulatio n of application problems. It is a highly valuable volume in the literature on the DG-FEM. It is also suitable as a textbook for a graduate-level cour se for students in computational and applied mathematics, physics and engin eering." -Mathematical Reviews "The book under review presents basic ideas, theoretical analysis, MATLAB implementation and applications of the DG-FEM. ... The representative references quoted are useful for any reader interested in applying the method in a particular area. ... This book provides comprehensive coverage of the major aspects of the DG-FEM ... . It is a highly valuable volume in the literature on the DG-FEM. It is also suitable as a textbook for a graduate-level course for students in computational and applied mathematics, physics, and engineering." (Weimin Han, Mathematical Reviews,