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On Some Properties Of Approximations By Spectral Methods Of Weighted Sobolev Spaces Application To The Solution Of Non Linear Problems
Download On Some Properties Of Approximations By Spectral Methods Of Weighted Sobolev Spaces Application To The Solution Of Non Linear Problems full books in PDF, epub, and Kindle. Read online On Some Properties Of Approximations By Spectral Methods Of Weighted Sobolev Spaces Application To The Solution Of Non Linear Problems ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis ON SOME PROPERTIES OF APPROXIMATIONS BY SPECTRAL METHODS OF WEIGHTED SOBOLEV SPACES. APPLICATION TO THE SOLUTION OF NON-LINEAR PROBLEMS by : Yvon Maday
Download or read book ON SOME PROPERTIES OF APPROXIMATIONS BY SPECTRAL METHODS OF WEIGHTED SOBOLEV SPACES. APPLICATION TO THE SOLUTION OF NON-LINEAR PROBLEMS written by Yvon Maday and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: LEGENDRE AND TCHEBYSHEV SPECTRAL APPROXIMATIONS OF BURGER'S EQUATION. APPROXIMATION OF BURGER'S EQUATION BY PSEUDO-SPECTRAL METHODS. SPECTRAL AND PSEUDO-SPECTRAL APPROXIMATIONS OF NAVIER STOKES EQUATIONS. APPROXIMATION RESULTS FOR ORTHOGONAL POLYNOMIAL IN SOBOLEV SPACES
Book Synopsis Spectral Methods for Time-Dependent Problems by : Jan S. Hesthaven
Download or read book Spectral Methods for Time-Dependent Problems written by Jan S. Hesthaven and published by Cambridge University Press. This book was released on 2007-01-11 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation). Computational solution techniques for integration in time are dealt with by Runge-Kutta type methods. Several chapters are devoted to material not previously covered in book form, including stability theory for polynomial methods, techniques for problems with discontinuous solutions, round-off errors and the formulation of spectral methods on general grids. These will be especially helpful for practitioners.
Book Synopsis Spectral Methods And Their Applications by : Ben-yu Guo
Download or read book Spectral Methods And Their Applications written by Ben-yu Guo and published by World Scientific. This book was released on 1998-05-05 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic algorithms, the main theoretical results, and some applications of spectral methods. Particular attention is paid to the applications of spectral methods to nonlinear problems arising in fluid dynamics, quantum mechanics, weather prediction, heat conduction and other fields.The book consists of three parts. The first part deals with orthogonal approximations in Sobolev spaces and the stability and convergence of approximations for nonlinear problems, as the mathematical foundation of spectral methods. In the second part, various spectral methods are described, with some applications. It includes Fourier spectral method, Legendre spectral method, Chebyshev spectral method, spectral penalty method, spectral vanishing viscosity method, spectral approximation of isolated solutions, multi-dimensional spectral method, spectral method for high-order equations, spectral-domain decomposition method and spectral multigrid method. The third part is devoted to some recent developments of spectral methods, such as mixed spectral methods, combined spectral methods and spectral methods on the surface.
Book Synopsis Spectral Methods by : Claudio Canuto
Download or read book Spectral Methods written by Claudio Canuto and published by Springer Science & Business Media. This book was released on 2007-09-23 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scientific and engineering computation. The authors of that book have incorporated into this new edition the many improvements in the algorithms and the theory of spectral methods that have been made since then. This latest book retains the tight integration between the theoretical and practical aspects of spectral methods, and the chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is also greatly expanded.
Book Synopsis Izbrannye Zada?i Vesovoj Approksimacii i Spektralnogo Analiza by : Nikolaĭ Kapitonovich Nikolʹskiĭ
Download or read book Izbrannye Zada?i Vesovoj Approksimacii i Spektralnogo Analiza written by Nikolaĭ Kapitonovich Nikolʹskiĭ and published by American Mathematical Soc.. This book was released on 1976 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses problems of weighted approximation and spectral analysis.
Book Synopsis Numerical Analysis of Spectral Methods by : David Gottlieb
Download or read book Numerical Analysis of Spectral Methods written by David Gottlieb and published by SIAM. This book was released on 1977-01-01 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.
Book Synopsis Spectral Methods in Soliton Equations by : I D Iliev
Download or read book Spectral Methods in Soliton Equations written by I D Iliev and published by CRC Press. This book was released on 1994-11-21 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soliton theory as a method for solving some classes of nonlinear evolution equations (soliton equations) is one of the most actively developing topics in mathematical physics. This book presents some spectral theory methods for the investigation of soliton equations ad the inverse scattering problems related to these equations. The authors give the theory of expansions for the Sturm-Liouville operator and the Dirac operator. On this basis, the spectral theory of recursion operators generating Korteweg-de Vries type equations is presented and the Ablowitz-Kaup-Newell-Segur scheme, through which the inverse scattering method could be understood as a Fourier-type transformation, is considered. Following these ideas, the authors investigate some of the questions related to inverse spectral problems, i.e. uniqueness theorems, construction of explicit solutions and approximative methods for solving inverse scattering problems. A rigorous investigation of the stability of soliton solutions including solitary waves for equations which do not allow integration within inverse scattering method is also presented.
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Methods for Partial Differential Equations by : M. Y. Hussaini
Download or read book Spectral Methods for Partial Differential Equations written by M. Y. Hussaini and published by . This book was released on 1983 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Origins of spectral methods, especially their relation to the Method of Weighted Residuals, are surveyed. Basic Fourier, Chebyshev, and Legendre spectral concepts are reviewed, and demonstrated through application to simple model problems. Both collocation and tau methods are considered. These techniques are then applied to a number of difficult, nonlinear problems of hyperbolic, parabolic, elliptic, and mixed type. Fluid-dynamical applications are emphasized.
Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722768157 Total Pages :74 pages Book Rating :4.7/5 (681 download)
Book Synopsis Spectral Methods for Time Dependent Problems by : National Aeronautics and Space Administration (NASA)
Download or read book Spectral Methods for Time Dependent Problems written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-16 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral approximations are reviewed for time dependent problems. Some basic ingredients from the spectral Fourier and Chebyshev approximations theory are discussed. A brief survey was made of hyperbolic and parabolic time dependent problems which are dealt with by both the energy method and the related Fourier analysis. The ideas presented above are combined in the study of accuracy stability and convergence of the spectral Fourier approximation to time dependent problems. Tadmor, Eitan Unspecified Center...
Book Synopsis Spectral Methods for Time-dependent Problems by : Jan S. Hesthaven
Download or read book Spectral Methods for Time-dependent Problems written by Jan S. Hesthaven and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation). Computational solution techniques for integration in time are dealt with by Runge-Kutta type methods. Several chapters are devoted to material not previously covered in book form, including stability theory for polynomial methods, techniques for problems with discontinuous solutions, round-off errors and the formulation of spectral methods on general grids. These will be especially helpful for practitioners."--Publisher's description.
Book Synopsis Review of Some Approximation Operators for the Numerical Analysis of Spectral Methods by : Yvon Maday
Download or read book Review of Some Approximation Operators for the Numerical Analysis of Spectral Methods written by Yvon Maday and published by . This book was released on 2000 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper reviews some operators that are used in the numerical analysis of spectral and spectral element methods. We motivate the introduction of these different operators and sketch their approximation properties. Finally we apply them to derive optimal error estimates for spectral type approximations of the solution of elliptic partial differential equations.
Book Synopsis Spectral Methods Using Multivariate Polynomials on the Unit Ball by : Kendall Atkinson
Download or read book Spectral Methods Using Multivariate Polynomials on the Unit Ball written by Kendall Atkinson and published by CRC Press. This book was released on 2019-11-08 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial approximations. The method presented is an alternative to finite element and difference methods for regions that are diffeomorphic to the unit disk, in two dimensions, and the unit ball, in three dimensions. The speed of convergence of spectral methods is usually much higher than that of finite element or finite difference methods. Features Introduces the use of multivariate polynomials for the construction and analysis of spectral methods for linear and nonlinear boundary value problems Suitable for researchers and students in numerical analysis of PDEs, along with anyone interested in applying this method to a particular physical problem One of the few texts to address this area using multivariate orthogonal polynomials, rather than tensor products of univariate polynomials.
Book Synopsis Chebyshev and Fourier Spectral Methods by : John P. Boyd
Download or read book Chebyshev and Fourier Spectral Methods written by John P. Boyd and published by Courier Corporation. This book was released on 2001-12-03 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.
Download or read book Spectral Methods written by Jie Shen and published by Springer Science & Business Media. This book was released on 2011-08-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.
Book Synopsis American Doctoral Dissertations by :
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1995 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral and High-order Methods with Applications by : Jie Shen
Download or read book Spectral and High-order Methods with Applications written by Jie Shen and published by . This book was released on 2006 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 中国科学院科学出版基金资助出版。
