| Description |
1 online resource (xiv, 570 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Wavelet analysis and its applications ; v. 6 |
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Wavelet analysis and its applications ; v. 6.
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| 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 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. |
| Contents |
FEM-Like Multilevel Preconditioning: P. Oswald, Multilevel Solvers for Elliptic Problems on Domains. P. Vassilevski and J. Wang, Wavelet-Like Methods in the Design of Efficient Multilevel Preconditioners for Elliptic PDEs. Fast Wavelet Algorithms: Compression and Adaptivity: S. Bertoluzza, An Adaptive Collocation Method Based on Interpolating Wavelets. G. Beylkin and J. Keiser, An Adaptive Pseudo-Wavelet Approach for Solving Nonlinear PartialDifferential Equations. P. Joly, Y. Maday, and V. Perrier, A Dynamical Adaptive Concept Based on Wavelet Packet Best Bases: Application to Convection Diffusion Partial Differential Equations. S. Dahlke, W. Dahmen, and R. DeVore, Nonlinear Approximation and Adaptive Techniques for Solving Elliptic Operator Equations. Wavelet Solvers for Integral Equations: T. von Petersdorff and C. Schwab, Fully Discrete Multiscale Galerkin BEM. A. Rieder, Wavelet Multilevel Solvers for Linear Ill-Posed Problems Stabilized by Tikhonov Regularization. Software Tools and Numerical Experiments: T. Barsch, A. Kunoth, and K. Urban, Towards Object Oriented Software Tools for Numerical Multiscale Methods for PDEs Using Wavelets. J. Ko, A. Kurdila, and P. Oswald, Scaling Function and Wavelet Preconditioners for Second Order Elliptic Problems. Multiscale Interaction and Applications to Turbulence: J. Elezgaray, G. Berkooz, H. Dankowicz, P. Holmes, and M. Myers, Local Models and Large Scale Statistics of the Kuramoto-Sivashinsky Equation. M. Wickerhauser, M. Farge, and E. Goirand, Theoretical Dimension and the Complexity of Simulated Turbulence. Wavelet Analysis of Partial Differential Operators: J-M. Angeletti, S. Mazet, and P. Tchamitchian, Analysis of Second-Order Elliptic Operators Without Boundary Conditions and With VMO or Hilderian Coefficients. M. Holschneider, Some Directional Elliptic Regularity for Domains with Cusps. Subject Index. |
| Bibliography |
Includes bibliographical references and index. |
| Contents |
Multilevel solvers for elliptic problems on domains / Peter Oswald -- Wavelet-like methods in the design of efficient multilevel preconditioners for elliptic PDEs / Panayot S. Vassilevski and Junping Wang -- An adaptive collocation method based on interpolating wavelets / Silvia Bertoluzza -- An adaptive pseudo-wavelet approach for solving nonlinear partial differential equations / Gregory Beylkin and James M. Keiser -- A dynamical adaptive concept based on wavelet packet best bases : application to convection diffusion partial differential equations / Pascal Joly, Yvon Maday, and Valérie Perrier -- Nonlinear approximation and adaptive techniques for solving elliptic operator equations / Stephan Dahlke, Wolfgang Dahmen, and Ronald A. DeVore -- Fully discrete multiscale Galerkin BEM / Tobias von Petersdorff and Christoph Schwab -- Wavelet multilevel solvers for linear ill-posed problems stabilized by Tikhonov regularization / Andreas Rieder -- Towards object oriented software tools for numerical multiscale methods for PDEs using wavelets / Titus Barsch, Angela Kunoth, and Karsten Urban -- Scaling function and wavelet preconditioners for second order elliptic problems / Jeonghwan Ko, Andrew J. Kurdila, and Peter Oswald -- Local models and large scale statistics of the Kuramoto-Sivashinsky equation / Juan Elezgaray [and others] -- Theoretical dimension and the complexity of simulated turbulence / Mladen V. Wickerhauser, Marie Farge, and Eric Goirand -- Analysis of second order elliptic operators without boundary conditions and with VMO or Hölderian coefficients / Jean-Marc Angeletti, Sylvain Mazet, and Philippe Tchamitchian -- Some directional elliptic regularity for domains with cusps / Matthias Holschneider. |
| Note |
Print version record. |
| Subject |
Differential equations, Partial -- Numerical solutions.
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Wavelets (Mathematics)
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Équations aux dérivées partielles -- Solutions numériques.
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Ondelettes.
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MATHEMATICS -- Infinity.
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Differential equations, Partial -- Numerical solutions
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Wavelets (Mathematics)
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Numerisches Verfahren
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Partielle Differentialgleichung
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Wavelet
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Elliptisches Randwertproblem
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Wavelets.
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Partiële differentiaalvergelijkingen.
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| Added Author |
Dahmen, Wolfgang, 1949-
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Kurdila, Andrew.
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Oswald, Peter, 1951-
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| Other Form: |
Print version: Multiscale wavelet methods for partial differential equations. San Diego : Academic Press, ©1997 0122006755 9780122006753 (DLC) 97012672 (OCoLC)36621922 |
| ISBN |
9780122006753 |
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0122006755 |
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9780080537146 (electronic bk.) |
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0080537146 (electronic bk.) |
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1281076791 |
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9781281076793 |
| Standard No. |
AU@ 000051427331 |
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CHNEW 001005141 |
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DEBBG BV039832008 |
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DEBBG BV042307428 |
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DEBBG BV043044872 |
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DEBSZ 405294182 |
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DEBSZ 422161519 |
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DEBSZ 482350326 |
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NZ1 12432279 |
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NZ1 15190351 |
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UKMGB 017548833 |
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AU@ 000059689022 |
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