Effective Computational Methods for Wave Propagation 1st Edition by Nikolaos Kampanis, Vassilios Dougalis, John Ekaterinaris ISBN 1040206719 9781040206713

Effective Computational Methods for Wave Propagation 1st Edition by Nikolaos A. Kampanis, Vassilios Dougalis, John A. Ekaterinaris – Ebook PDF Instant Download/Delivery: 1040206719, 9781040206713

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Product details:

ISBN 10: 1040206719

ISBN 13: 9781040206713

Author:  Nikolaos A. Kampanis, Vassilios Dougalis, John A. Ekaterinaris 

Effective Computational Methods for Wave Propagation 1st Edition: 

Due to the increase in computational power and new discoveries in propagation phenomena for linear and nonlinear waves, the area of computational wave propagation has become more significant in recent years. Exploring the latest developments in the field, Effective Computational Methods for Wave Propagation presents several modern, valuable computational methods used to describe wave propagation phenomena in selected areas of physics and technology.

Featuring contributions from internationally known experts, the book is divided into four parts. It begins with the simulation of nonlinear dispersive waves from nonlinear optics and the theory and numerical analysis of Boussinesq systems. The next section focuses on computational approaches, including a finite element method and parabolic equation techniques, for mathematical models of underwater sound propagation and scattering. The book then offers a comprehensive introduction to modern numerical methods for time-dependent elastic wave propagation. The final part supplies an overview of high-order, low diffusion numerical methods for complex, compressible flows of aerodynamics.

Concentrating on physics and technology, this volume provides the necessary computational methods to effectively tackle the sources of problems that involve some type of wave motion.

 

Effective Computational Methods for Wave Propagation 1st Edition Table of contents:

• Part I: Nonlinear dispersive waves

  • Chapter 1: Numerical simulations of singular solutions of the nonlinear Schrödinger equations
  • Chapter 2: Numerical solution of the nonlinear Helmholtz equation
  • Chapter 3: Theory and numerical analysis of Boussinesq systems: a review

• Part II: The Helmholtz equation and its paraxial approximations in underwater acoustics

  • Chapter 4: Finite element discretization of the Helmholtz equation in an underwater acoustic waveguide
  • Chapter 5: Parabolic equation techniques in underwater acoustics
  • Chapter 6: Numerical solution of the parabolic equation in range-dependent waveguides
  • Chapter 7: Exact boundary conditions for acoustic PE modeling over an N2-linear half-space

• Part III: Numerical methods for elastic wave propagation

  • Chapter 8: Introduction and orientation
  • Chapter 9: The mathematical model for elastic wave propagation
  • Chapter 10: Finite element methods with continuous displacement
  • Chapter 11: Finite element methods with discontinuous displacement
  • Chapter 12: Fictitious domains methods for wave diffraction
  • Chapter 13: Space-time mesh refinement methods
  • Chapter 14: Numerical methods for treating unbounded media

• Part IV: Waves in compressible flows

  • Chapter 15: High-order accurate space discretization methods for computational fluid dynamics
  • Chapter 16: Governing equations
  • Chapter 17: High-order finite-difference schemes
  • Chapter 18: ENO and WENO schemes
  • Chapter 19: The discontinuous Galerkin (DG) method

 

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