Table of contents for Higher-order numerical methods for transient wave equations / Gary C. Cohen.


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I. Basic Definitions and Properties: The Basic Equations. Functional Issues. Plane Wave Solutions.- II. Finite Diffe rence Methods: Construction of the Schemes in Homogeneous Media. The Dispersion Relation. Stability of the Schemes. Numerical Dispersion and Anisotropy. Construction of the Schemes in Heterogeneous Media. Stability by Energy Techniques. Reflection--Transmission Analysis.- III. Finite Element Methods: Mass-Lumping in 1D. Spectral Elements. Mass-Lumped Mixed Formulations and Edge Elements. Modeling Unbounded Domains. Bibliography.


Library of Congress subject headings for this publication:
Wave equation -- Numerical solutions.
Numerical analysis.