Effective Computational Methods for Wave Propagation

Informationen zum Autor Nikolaos A. Kampanis! Vassilios A. Dougalis! John A. Ekaterinaris Zusammenfassung Presents several modern, valuable computational methods used to describe wave propagation phenomena in selected areas of physics and technology. This book begins with the simulation of nonlinear dispersive waves from nonlinear optics and the theory and numerical analysis of Boussinesq systems. Inhaltsverzeichnis Preface. Nonlinear Dispersive Waves: Numerical Simulations of Singular Solutions of Nonlinear Schrödinger Equations. Numerical Solution of the Nonlinear Helmholtz Equation. Theory and Numerical Analysis of Boussinesq Systems: A Review. The Helmholtz Equation and its Paraxial Approximations in Underwater Acoustics: Finite Element Discretization of the Helmholtz Equation in an Underwater Acoustic Waveguide. Parabolic Equation Techniques in Underwater Acoustics. Numerical Solution of the Parabolic Equation in Range-Dependent Waveguides. Exact Boundary Conditions for Acoustic PE Modeling over an N2-Linear Half-Space. Numerical Methods for Elastic Wave Propagation. Introduction and Orientation. The Mathematical Model for Elastic Wave Propagation. Finite Element Methods with Continuous Displacement. Finite Element Methods with Discontinuous Displacement. Fictitious Domains Methods for Wave Diffraction. Space Time Mesh Refinement Methods. Numerical Methods for Treating Unbounded Media. Waves in Compressible Flows. High-Order Accurate Space Discretization Methods for Computational Fluid Dynamics. Governing Equations. High-Order Finite-Difference Schemes. ENO and WENO Schemes. The Discontinuous Galerkin (DG) Method. Index.

Product details

• Authors: Kampanis A. Kampanis, Nikolaos A. Kampanis, Nikolaos A. (Hellas Institute Kampanis, Nikolaos A. Dougalis Kampanis
• Assisted by: Vassilios Dougalis (Editor), Vassilios (FORTH/IACM Dougalis (Editor), Dougalis Vassilios (Editor), John A. Ekaterinaris (Editor), John A. (FORTH/IACM Ekaterinaris (Editor), Ekaterinaris John A. (Editor), Nikolaos A. Kampanis (Editor), Nikolaos A. (Hellas Institute Kampanis (Editor), Kampanis Nikolaos A. (Editor)
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 25.02.2008
• EAN: 9781584885689
• ISBN: 978-1-58488-568-9
• No. of pages: 706
• Series: Numerical Insights; Numerical Insights
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Mechanics, acoustics; SCIENCE / Mechanics / General, Classical mechanics