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Multiscale Wavelet Methods for Partial Differential Equations, Volume 6 (Wavelet Analysis and Its Applications)
 
 
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Multiscale Wavelet Methods for Partial Differential Equations, Volume 6 (Wavelet Analysis and Its Applications) [Hardcover]

Wolfgang Dahmen (Author), Andrew Kurdila (Author), Peter Oswald (Author)

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Book Description

August 18, 1997 0122006755 978-0122006753 1
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 recent research on multiresolution analyses with operator-adapted wavelet discretizations
* Presents well-documented numerical experiments connected with the development of algorithms, useful in specific applications

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From the Back Cover

Multiscale Wavelet Methods for Partial Differential Equations is the sixth volume in the well-respected series Wavelet Analysis and Its Applications. Wavelet methods are well established as a new and powerful mathematical tool with applications in Signal Analysis, Image Processing. Theoretical Physics, and Mathematics. In numerical solution of partial differentail equations, multiscale wavelet methods compete with well-established and effective approach and the standard techniques. It is designed to update current developments in partial differential equations related to the wavelet approach. The fourteen chapters included in this volume were prepared by some of the leading professionals in this developing field, and they delve into the recent advances and future prospects of this methodology specifically in the area of partial differential equations.

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Inside This Book (learn more)
First Sentence:
We study to which extent the geometric multilevel approach based on dyadic scales of shift-invariant subspaces on Rd can be used to produce accurate discrete solutions of elliptic boundary value problems of positive order on nonrectangular domains. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
cardinal entropy, microlocal classes, triangule inequality, stable subspace splittings, classical hierarchical basis, elliptic boundary integral equations, quadrature error analysis, additive iteration, compressed stiffness, multilevel hierarchical basis, scaling function spaces, multiplicative iteration, multiwavelet basis, standard nodal basis, multiscale transformations, quadrature work, multilevel iterative methods, refinable functions, wavelet projections, significant wavelet coefficients, multiplicative algorithm, boundary integral operators, adaptive grid methods, boundary modification, additive algorithm
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Academic Press, New York, Peter Oswald, Wolfgang Dahmen, Pure Appl, Cambridge Univ, Department of Mathematics, Methods Appl, Acta Numerica, Technical Report, Teubner Skr, Adapted Wavelet Analysis, Fluid Mech, World Scientific, Aachen Germany, Keiser Figure, Lecture Notes, Position-Frequency Analysis, Recent Advances, Results of Test, Sankt Augustin, Aachen Templergraben, Appliquées Faculté des Sciences, Cornell University, Decrease Residual
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