Multiscale wavelet methods for partial differential equations:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
San Diego
Academic Press
c1997
|
| Schriftenreihe: | Wavelet analysis and its applications
v. 6 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | 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 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 Includes bibliographical references and index 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 ... [et al.] -- 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 |
| Beschreibung: | 1 Online-Ressource (xiv, 570 p.) |
| ISBN: | 0080537146 0122006755 9780080537146 9780122006753 |
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| 245 | 1 | 0 | |a Multiscale wavelet methods for partial differential equations |c edited by Wolfgang Dahmen, Andrew Kurdila, Peter Oswald |
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| 490 | 0 | |a Wavelet analysis and its applications |v v. 6 | |
| 500 | |a 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 | ||
| 500 | |a 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 | ||
| 500 | |a Includes bibliographical references and index | ||
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| id | DE-604.BV043044872 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:15:51Z |
| institution | BVB |
| isbn | 0080537146 0122006755 9780080537146 9780122006753 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028469410 |
| oclc_num | 162128737 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xiv, 570 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Academic Press |
| record_format | marc |
| series2 | Wavelet analysis and its applications |
| spelling | Multiscale wavelet methods for partial differential equations edited by Wolfgang Dahmen, Andrew Kurdila, Peter Oswald San Diego Academic Press c1997 1 Online-Ressource (xiv, 570 p.) txt rdacontent c rdamedia cr rdacarrier Wavelet analysis and its applications v. 6 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 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 Includes bibliographical references and index 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 ... [et al.] -- 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 MATHEMATICS / Infinity bisacsh Wavelets gtt Partiële differentiaalvergelijkingen gtt Differential equations, Partial / Numerical solutions fast Wavelets (Mathematics) fast Differential equations, Partial Numerical solutions Wavelets (Mathematics) Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Wavelet (DE-588)4215427-3 s 2\p DE-604 Dahmen, Wolfgang 1949- Sonstige (DE-588)130554235 oth Kurdila, Andrew Sonstige (DE-588)1111639221 oth Oswald, Peter 1951- Sonstige (DE-588)139286527 oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=212291 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Multiscale wavelet methods for partial differential equations MATHEMATICS / Infinity bisacsh Wavelets gtt Partiële differentiaalvergelijkingen gtt Differential equations, Partial / Numerical solutions fast Wavelets (Mathematics) fast Differential equations, Partial Numerical solutions Wavelets (Mathematics) Partielle Differentialgleichung (DE-588)4044779-0 gnd Wavelet (DE-588)4215427-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4215427-3 (DE-588)4128130-5 |
| title | Multiscale wavelet methods for partial differential equations |
| title_auth | Multiscale wavelet methods for partial differential equations |
| title_exact_search | Multiscale wavelet methods for partial differential equations |
| title_full | Multiscale wavelet methods for partial differential equations edited by Wolfgang Dahmen, Andrew Kurdila, Peter Oswald |
| title_fullStr | Multiscale wavelet methods for partial differential equations edited by Wolfgang Dahmen, Andrew Kurdila, Peter Oswald |
| title_full_unstemmed | Multiscale wavelet methods for partial differential equations edited by Wolfgang Dahmen, Andrew Kurdila, Peter Oswald |
| title_short | Multiscale wavelet methods for partial differential equations |
| title_sort | multiscale wavelet methods for partial differential equations |
| topic | MATHEMATICS / Infinity bisacsh Wavelets gtt Partiële differentiaalvergelijkingen gtt Differential equations, Partial / Numerical solutions fast Wavelets (Mathematics) fast Differential equations, Partial Numerical solutions Wavelets (Mathematics) Partielle Differentialgleichung (DE-588)4044779-0 gnd Wavelet (DE-588)4215427-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | MATHEMATICS / Infinity Wavelets Partiële differentiaalvergelijkingen Differential equations, Partial / Numerical solutions Wavelets (Mathematics) Differential equations, Partial Numerical solutions Partielle Differentialgleichung Wavelet Numerisches Verfahren |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=212291 |
| work_keys_str_mv | AT dahmenwolfgang multiscalewaveletmethodsforpartialdifferentialequations AT kurdilaandrew multiscalewaveletmethodsforpartialdifferentialequations AT oswaldpeter multiscalewaveletmethodsforpartialdifferentialequations |