Numerical Solutions of Partial Differential Equations

Numerical Solutions of Partial Differential Equations by Silvia Bertoluzza, Silvia Falletta, Giovanni Russo, Chi-Wang Shu.

This volume offers researchers the opportunity to catch up with important developments in the field of numerical analysis and scientific computing and to get in touch with state-of-the-art numerical techniques. The book has three parts. The first one is devoted to the use of wavelets to derive some...

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Bibliographic Details
Main Authors: Bertoluzza, Silvia (Author), Falletta, Silvia (Author), Russo, Giovanni (Author), Shu, Chi-Wang (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2009.
Edition:1st ed. 2009.
Series:Advanced Courses in Mathematics - CRM Barcelona,
Springer eBook Collection.
Subjects:
Numerical analysis.
Partial differential equations.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Wavelets and Partial Differential Equations
  • What is a Wavelet?
  • The Fundamental Property of Wavelets
  • Wavelets for Partial Differential Equations
  • High-Order Shock-Capturing Schemes for Balance Laws
  • Upwind Scheme for Systems
  • The Numerical Flux Function
  • Nonlinear Reconstruction and High-Order Schemes
  • Central Schemes
  • Systems with Stiff Source
  • Discontinuous Galerkin Methods: General Approach and Stability
  • Time Discretization
  • Discontinuous Galerkin Method for Conservation Laws
  • Discontinuous Galerkin Method for Convection-Diffusion Equations
  • Discontinuous Galerkin Method for PDEs Containing Higher-Order Spatial Derivatives.

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