Wavelet-like Methods in the Design of Efficient Multilevel Preconditioners for Elliptic PDEs

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ISBN 13 :
Total Pages : 47 pages
Book Rating : 4.:/5 (396 download)

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Book Synopsis Wavelet-like Methods in the Design of Efficient Multilevel Preconditioners for Elliptic PDEs by : Panaĭot Vasilevski

Download or read book Wavelet-like Methods in the Design of Efficient Multilevel Preconditioners for Elliptic PDEs written by Panaĭot Vasilevski and published by . This book was released on 1996 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiscale Wavelet Methods for Partial Differential Equations

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Publisher : Elsevier
ISBN 13 : 0080537146
Total Pages : 587 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Multiscale Wavelet Methods for Partial Differential Equations by : Wolfgang Dahmen

Download or read book Multiscale Wavelet Methods for Partial Differential Equations written by Wolfgang Dahmen and published by Elsevier. This book was released on 1997-08-13 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. 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

SIAM Journal on Scientific Computing

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Publisher :
ISBN 13 :
Total Pages : 800 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis SIAM Journal on Scientific Computing by :

Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 2004 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive Multilevel Numerical Methods with Applications in Diffusive Biomolecular Reactions

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Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Adaptive Multilevel Numerical Methods with Applications in Diffusive Biomolecular Reactions by : Burak Aksoylu

Download or read book Adaptive Multilevel Numerical Methods with Applications in Diffusive Biomolecular Reactions written by Burak Aksoylu and published by . This book was released on 2001 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Wavelets, Multilevel Methods, and Elliptic PDEs

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Publisher : Oxford University Press
ISBN 13 : 9780198501909
Total Pages : 320 pages
Book Rating : 4.5/5 (19 download)

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Book Synopsis Wavelets, Multilevel Methods, and Elliptic PDEs by : M. Ainsworth

Download or read book Wavelets, Multilevel Methods, and Elliptic PDEs written by M. Ainsworth and published by Oxford University Press. This book was released on 1997 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the Proceedings of the seventh EPSRC Numerical Analysis Summer School, held in 1996. Five major topics in numerical analysis are treated by world experts at a level which should be suitable for first year graduate students and experienced researchers alike, assuming onlythe knowledge acquired from a first degree in mathematics or in a scientific discipline with significant mathematical content. Often researchers need to obtain an up-to-date picture of work in an area with a substantial literature, either to avoid reproducing work which is already done, or to applyto their own research in a different subject. This book avoids the need to trawl through the literature by presenting important recent results together with references to all the main papers. Each contributor reviews the state of the art in his area, presenting new and often hitherto unpublishedmaterial.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 912 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parallel Multilevel Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3322800636
Total Pages : 215 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Parallel Multilevel Methods by : Gerhard Zumbusch

Download or read book Parallel Multilevel Methods written by Gerhard Zumbusch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Main aspects of the efficient treatment of partial differential equations are discretisation, multilevel/multigrid solution and parallelisation. These distinct topics are covered from the historical background to modern developments. It is demonstrated how the ingredients can be put together to give an adaptive and parallel multilevel approach for the solution of elliptic boundary value problems. Error estimators and adaptive grid refinement techniques for ordinary and for sparse grid discretisations are presented. Different types of additive and multiplicative multilevel solvers are discussed with respect to parallel implementation and application to adaptive refined grids. Efficiency issues are treated both for the sequential multilevel methods and for the parallel version by hash table storage techniques. Finally, space-filling curve enumeration for parallel load balancing and processor cache efficiency are discussed.

Multilevel Preconditioning

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Multilevel Preconditioning by : W. Dahmen

Download or read book Multilevel Preconditioning written by W. Dahmen and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Electrical & Electronics Abstracts

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Publisher :
ISBN 13 :
Total Pages : 2304 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Electrical & Electronics Abstracts by :

Download or read book Electrical & Electronics Abstracts written by and published by . This book was released on 1997 with total page 2304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

ESAIM.

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ISBN 13 :
Total Pages : 634 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis ESAIM. by :

Download or read book ESAIM. written by and published by . This book was released on 2001 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Analysis of Wavelet Methods

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Publisher : Elsevier
ISBN 13 : 0080537855
Total Pages : 357 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Numerical Analysis of Wavelet Methods by : A. Cohen

Download or read book Numerical Analysis of Wavelet Methods written by A. Cohen and published by Elsevier. This book was released on 2003-04-29 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations. One of their main attractive features is the ability to accurately represent fairly general functions with a small number of adaptively chosen wavelet coefficients, as well as to characterize the smoothness of such functions from the numerical behaviour of these coefficients. The theoretical pillar that underlies such properties involves approximation theory and function spaces, and plays a pivotal role in the analysis of wavelet-based numerical methods. This book offers a self-contained treatment of wavelets, which includes this theoretical pillar and it applications to the numerical treatment of partial differential equations. Its key features are: 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions. 2. Full treatment of the theoretical foundations that are crucial for the analysis of wavelets and other related multiscale methods : function spaces, linear and nonlinear approximation, interpolation theory. 3. Applications of these concepts to the numerical treatment of partial differential equations : multilevel preconditioning, sparse approximations of differential and integral operators, adaptive discretization strategies.

Multigrid Methods II

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Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Multigrid Methods II by : Wolfgang Hackbusch

Download or read book Multigrid Methods II written by Wolfgang Hackbusch and published by Lecture Notes in Mathematics. This book was released on 1986-12 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Mathematical Fluid Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642573088
Total Pages : 232 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Advances in Mathematical Fluid Mechanics by : Josef Malek

Download or read book Advances in Mathematical Fluid Mechanics written by Josef Malek and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of six survey contributions that are focused on several open problems of theoretical fluid mechanics both for incompressible and compressible fluids. The first article "Viscous flows in Besov spaces" by M area Cannone ad dresses the problem of global existence of a uniquely defined solution to the three-dimensional Navier-Stokes equations for incompressible fluids. Among others the following topics are intensively treated in this contribution: (i) the systematic description of the spaces of initial conditions for which there exists a unique local (in time) solution or a unique global solution for small data, (ii) the existence of forward self-similar solutions, (iii) the relation of these results to Leray's weak solutions and backward self-similar solutions, (iv) the extension of the results to further nonlinear evolutionary problems. Particular attention is paid to the critical spaces that are invariant under the self-similar transform. For sufficiently small Reynolds numbers, the conditional stability in the sense of Lyapunov is also studied. The article is endowed by interesting personal and historical comments and an exhaustive bibliography that gives the reader a complete picture about available literature. The papers "The dynamical system approach to the Navier-Stokes equa tions for compressible fluids" by Eduard Feireisl, and "Asymptotic problems and compressible-incompressible limits" by Nader Masmoudi are devoted to the global (in time) properties of solutions to the Navier-Stokes equa and three tions for compressible fluids. The global (in time) analysis of two dimensional motions of compressible fluids were left open for many years.

Multiphysics Simulation by Design for Electrical Machines, Power Electronics and Drives

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Publisher : John Wiley & Sons
ISBN 13 : 1119103444
Total Pages : 312 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Multiphysics Simulation by Design for Electrical Machines, Power Electronics and Drives by : Marius Rosu

Download or read book Multiphysics Simulation by Design for Electrical Machines, Power Electronics and Drives written by Marius Rosu and published by John Wiley & Sons. This book was released on 2017-12-18 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents applied theory and advanced simulation techniques for electric machines and drives This book combines the knowledge of experts from both academia and the software industry to present theories of multiphysics simulation by design for electrical machines, power electronics, and drives. The comprehensive design approach described within supports new applications required by technologies sustaining high drive efficiency. The highlighted framework considers the electric machine at the heart of the entire electric drive. The book also emphasizes the simulation by design concept—a concept that frames the entire highlighted design methodology, which is described and illustrated by various advanced simulation technologies. Multiphysics Simulation by Design for Electrical Machines, Power Electronics and Drives begins with the basics of electrical machine design and manufacturing tolerances. It also discusses fundamental aspects of the state of the art design process and includes examples from industrial practice. It explains FEM-based analysis techniques for electrical machine design—providing details on how it can be employed in ANSYS Maxwell software. In addition, the book covers advanced magnetic material modeling capabilities employed in numerical computation; thermal analysis; automated optimization for electric machines; and power electronics and drive systems. This valuable resource: Delivers the multi-physics know-how based on practical electric machine design methodologies Provides an extensive overview of electric machine design optimization and its integration with power electronics and drives Incorporates case studies from industrial practice and research and development projects Multiphysics Simulation by Design for Electrical Machines, Power Electronics and Drives is an incredibly helpful book for design engineers, application and system engineers, and technical professionals. It will also benefit graduate engineering students with a strong interest in electric machines and drives.

Multi-Level Methods in Lubrication

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Publisher : Elsevier
ISBN 13 : 008053709X
Total Pages : 401 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Multi-Level Methods in Lubrication by : C.H. Venner

Download or read book Multi-Level Methods in Lubrication written by C.H. Venner and published by Elsevier. This book was released on 2000-07-21 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Efficient numerical solution of realistic and, therefore, complex equation systems occupies many researchers in many disciplines. For various reasons, but mainly in order to approximate reality, a very large number of unknowns are needed. Using classical techniques, the solution of such a system of equations would take too long, and so sometimes MultiLevel techniques are used to accelerate convergence. Over the last one and a half decades, the authors have studied the problem of Elastohydrodynamic Lubrication, governed by a complex integro-differential equation. Their work has resulted in a very efficient and stable solver. In this book they describe the different intermediate problems analyzed and solved, and how those ingredients finally come together in the EHL solver. A number of these intermediate problems, such as Hydrodynamic Lubrication and Dry Contact, are useful in their own right. In the Appendix the full codes of the Poisson problem, the Hydrodynamic Lubrication problem, the dry contact solver and the EHL solver are given. These codes are all written in 'C' language, based on the 'ANSI-C' version.

Multiscale, Nonlinear and Adaptive Approximation

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Publisher : Springer
ISBN 13 : 9783642424571
Total Pages : 0 pages
Book Rating : 4.4/5 (245 download)

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Book Synopsis Multiscale, Nonlinear and Adaptive Approximation by : Ronald DeVore

Download or read book Multiscale, Nonlinear and Adaptive Approximation written by Ronald DeVore and published by Springer. This book was released on 2014-12-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: . . . . . . . . . . . . . . . . . . . 7 7 Hyperbolic partial differential equations and conservation laws . . . 8 8 Engineering collaborations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 9 Thepresent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 10 Finalremarks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Publications by Wolfgang Dahmen (as of summer 2009). . . . . . . . . . . . . . . 10 The way things were in multivariate splines: A personal view. . . . . . . . . . . 19 Carl de Boor 1 Tensor product spline interpolation. . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2 Quasiinterpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3 MultivariateB-splines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 4 Kergininterpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Computational Partial Differential Equations Using MATLAB®

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Publisher : CRC Press
ISBN 13 : 0429556535
Total Pages : 423 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Computational Partial Differential Equations Using MATLAB® by : Jichun Li

Download or read book Computational Partial Differential Equations Using MATLAB® written by Jichun Li and published by CRC Press. This book was released on 2019-09-26 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques including the classic finite difference method, finite element method, and state-of-the-art numercial methods.The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB. This new edition includes a new chapter, Finite Value Method, the presentation has been tightened, new exercises and applications are included, and the text refers now to the latest release of MATLAB. Key Selling Points: A successful textbook for an undergraduate text on numerical analysis or methods taught in mathematics and computer engineering. This course is taught in every university throughout the world with an engineering department or school. Competitive advantage broader numerical methods (including finite difference, finite element, meshless method, and finite volume method), provides the MATLAB source code for most popular PDEs with detailed explanation about the implementation and theoretical analysis. No other existing textbook in the market offers a good combination of theoretical depth and practical source codes.