Multiscale wavelet methods for partial differential equations / edited by Wolfgang Dahmen, Andrew Kurdila, Peter Oswald.

Format:

Book

Contributor:

Dahmen, Wolfgang, 1949-

Kurdila, Andrew.

Oswald, Peter, 1951-

Series:

Wavelet analysis and its applications ; v. 6.

Wavelet analysis and its applications ; v. 6

Language:

English

Subjects (All):

Differential equations, Partial--Numerical solutions.

Differential equations, Partial.

Wavelets (Mathematics).

Physical Description:

1 online resource (587 p.)

Place of Publication:

San Diego : Academic Press, 1997.

Language Note:

English

Summary:

This latest volume in the Wavelets Analysis and Its Applications Series provides significant and up-to-date insights into recent developments in the field of wavelet constructions in connection with partial differential equations. Specialists in numerical applications and engineers in a variety of fields will find Multiscale Wavelet for Partial Differential Equations to be a valuable resource.Key Features* Covers important areas of computational mechanics such as elasticity and computational fluid dynamics* Includes a clear study of turbulence modeling* Contains rece

Contents:

Front Cover; Multiscale Wavelet Methods for Partial Differential Equations; Copyright Page; Contents; Preface; Contributors; Part I: FEM-Like Multilevel Preconditioning; Chapter 1. Multilevel Solvers for Elliptic Problems on Domains; Chapter 2. Wavelet-Like Methods in the Design of Efficient Multilevel Preconditioners for Elliptic PDEs; Part II: Fast Wavelet Algorithms: Compression and Adaptivity; Chapter 3. An Adaptive Collocation Method based on Interpolating Wavelets; Chapter 4. An Adaptive Pseudo-Wavelet Approach for Solving Nonlinear Partial Differential Equations

Chapter 5. A Dynamical Adaptive Concept Based on Wavelet Packet Best Bases: Application to Convection Diffusion Partial Differential EquationsChapter 6. Nonlinear Approximation and Adaptive Techniques for Solving Elliptic Operator Equations; Part III: Wavelet Solvers for Integral Equations; Chapter 7. Fully Discrete Multiscale Galerkin BEM; Chapter 8. Wavelet Multilevel Solvers for Linear Ill-Posed Problems Stabilized by Tikhonov Regularization; Part IV: Software Tools and Numerical Experiments

Chapter 9. Towards Object Oriented Software Tools for Numerical Multiscale Methods for PDEs using WaveletsChapter 10. Scaling Function and Wavelet Preconditioners for Second Order Elliptic Problems; Part V: Multiscale Interaction and Applications to Turbulence; Chapter 11. Local Models and Large Scale Statistics of the Kuramoto-Sivashinsky Equation; Chapter 12. Theoretical Dimension and the Complexity of Simulated Turbulence; Part VI: Wavelet Analysis of Partial Differential Operators

Chapter 13. Analysis of Second Order Elliptic Operators Without Boundary Conditions and With VMO or Hölderian CoefficientsChapter 14. Some Directional Elliptic Regularity For Domains With Cusps; Subject Index; Wavelet Analysis and its Applications

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-281-07679-1

9786611076795

0-08-053714-6

OCLC:

476128832