روش‌های موجک چند مقیاسی برای معادلات دیفرانسیل جزئی (جلد ۶) (تحلیل موجک و کاربردهای آن، جلد ۶)

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 Content: Preface Pages vii-x Wolfgang Dahmen, Andrew J. Kurdila, Peter Oswald Contributors Pages xi-xiv Multilevel solvers for elliptic problems on domains Original Research Article Pages 3-58 Peter Oswald Wavelet-like methods in the design of efficient multilevel preconditioners for elliptic PDEs Original Research Article Pages 59-105 Panayot S. Vassilevski, Junping Wang An adaptive collocation method based on interpolating wavelets Original Research Article Pages 109-135 Silvia Bertoluzza An adaptive pseudo-wavelet approach for solving nonlinear partial differential equations Original Research Article Pages 137-197 Gregory Beylkin, James M. Keiser A dynamical adaptive concept based on wavelet packet best bases: Application to convection diffusion partial differential equations Original Research Article Pages 199-235 Pascal Joly, Yvon Maday, Valérie Perrier Nonlinear approximation and adaptive techniques for solving elliptic operator equations Original Research Article Pages 237-283 Stephan Dahlke, Wolfgang Dahmen, Ronald A. DeVore Fully discrete multiscale galerkin BEM Original Research Article Pages 287-346 Tobias von Petersdorff, Christoph Schwab Wavelet multilevel solvers for linear Ill-posed problems stabilized by Tikhonov regularization Original Research Article Pages 347-380 Andreas Rieder Towards object oriented software tools for numerical multiscale methods for PDEs using wavelets Original Research Article Pages 383-412 Titus Barsch, Karsten Urban, Angela Kunoth Scaling function and wavelet preconditioners for second order elliptic problems Original Research Article Pages 413-438 Jeonghwan Ko, Andrew J. Kurdila, Peter Oswald Local models and large scale statistics of the kuramoto–sivashinsky equation Original Research Article Pages 441-471 Juan Elezgaray, Gal Berkooz, Harry Dankowicz, Philip Holmes, Mark Myers Theoretical dimension and the complexity of simulated turbulence Original Research Article Pages 473-492 Mladen Victor Wickerhauser, Marie Farge, Eric Goirand Analysis of second order elliptic operators without boundary conditions and with VMO or Hölderian coefficients Original Research Article Pages 495-539 J.M. Angeletti, S. Mazet, P. Tchamitchian Some directional elliptic regularity for domains with cusps Original Research Article Pages 541-565 Matthias Holschneider Subject index Pages 567-570 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