Wavelet Least Square Methods For Boundary Value Problems
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Wavelet Methods Elliptic Boundary Value Problems And Control Problems
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Author : Angela Kunoth
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Wavelet Methods Elliptic Boundary Value Problems And Control Problems written by Angela Kunoth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Diese Monographie spannt einen Bogen rund um die aktuelle Thematik Wavelets, um neueste Entwicklungen anhand aufeinander aufbauender Probleme darzustellen und das konzeptuelle Potenzial von Waveletmethoden für Partielle Differentialgleichungen zu demonstrieren.
Wavelet Least Square Methods For Boundary Value Problems
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Author : Wolfgang Dahmen
language : en
Publisher:
Release Date : 1999
Wavelet Least Square Methods For Boundary Value Problems written by Wolfgang Dahmen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Wavelet Least Squares Methods For Boundary Value Problems
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Author : Wolfgang Dahmen
language : en
Publisher:
Release Date : 1999
Wavelet Least Squares Methods For Boundary Value Problems written by Wolfgang Dahmen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Wavelet Methods Elliptic Boundary Value Problems And Control Problems
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Author : Angela Kunoth
language : en
Publisher:
Release Date : 2014-01-15
Wavelet Methods Elliptic Boundary Value Problems And Control Problems written by Angela Kunoth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Wavelet Numerical Method And Its Applications In Nonlinear Problems
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Author : You-He Zhou
language : en
Publisher: Springer Nature
Release Date : 2021-03-09
Wavelet Numerical Method And Its Applications In Nonlinear Problems written by You-He Zhou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-09 with Technology & Engineering categories.
This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically established and introduced for solving general linear and nonlinear initial boundary value problems in engineering, including the technique of boundary extension in approximating interval-bounded functions, the calculation method for various connection coefficients, the single-point Gaussian integration method in calculating the coefficients of wavelet expansions and unique treatments on nonlinear terms in differential equations. At the same time, this book is supplemented by a large number of numerical examples to specifically explain procedures and characteristics of the method, as well as detailed treatments for specific problems. Different from most of the current monographs focusing on the basic theory of wavelets, it focuses on the use of wavelet-based numerical methods developed by the author over the years. Even for the necessary basic theory of wavelet in engineering applications, this book is based on the author’s own understanding in plain language, instead of a relatively difficult professional mathematical description. This book is very suitable for students, researchers and technical personnel who only want to need the minimal knowledge of wavelet method to solve specific problems in engineering.
Wavelet Methods For Elliptic Partial Differential Equations
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Author : Karsten Urban
language : en
Publisher: OUP Oxford
Release Date : 2008-11-27
Wavelet Methods For Elliptic Partial Differential Equations written by Karsten Urban and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-27 with Mathematics categories.
The origins of wavelets go back to the beginning of the last century and wavelet methods are by now a well-known tool in image processing (jpeg2000). These functions have, however, been used successfully in other areas, such as elliptic partial differential equations, which can be used to model many processes in science and engineering. This book, based on the author's course and accessible to those with basic knowledge of analysis and numerical mathematics, gives an introduction to wavelet methods in general and then describes their application for the numerical solution of elliptic partial differential equations. Recently developed adaptive methods are also covered and each scheme is complemented with numerical results, exercises, and corresponding software tools.
Wavelet Analysis And Applications
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Author : Peter Roberts
language : en
Publisher: New Age International
Release Date : 2007
Wavelet Analysis And Applications written by Peter Roberts and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Wavelets (Mathematics) categories.
Wavelets And Related Functions Constitute A Most Recent Set Of Mathematical Tools, Impacting Many Branches Of Mathematical And Applied Sciences, Ranging From Approximation Theory And Harmonic Analysis To Signal Analysis And Image Compression.This Volume Includes Lectures Delivered At The Platinum Jubilee Workshop And Tenth Ramanujan Symposium, Pjwtrs-2003, On Wavelet Analysis, Conducted In March 2003. The Contents Cover A Variety Of Interesting Topics Like Wavelets As Approximation Tools, Connections With Filter Banks, The Bessel-Wavelet Transform, Relations With Partial Differential Equations Of Fluid Flow, Weyl Heisenberg Frames, Reconstruction Of Functions From Irregular Sampling And Various Applications, Particularly In Electrical Engineering. This Book Will Be Useful To Mathematicians, Computer And Electrical Engineers, Systems Analysts And Applied Scientists. The Level Can Be Graduate Engineer Or Post Graduate Student Of Mathematics.
Splines And Pdes From Approximation Theory To Numerical Linear Algebra
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Author : Angela Kunoth
language : en
Publisher: Springer
Release Date : 2018-09-20
Splines And Pdes From Approximation Theory To Numerical Linear Algebra written by Angela Kunoth and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-20 with Mathematics categories.
This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods. A wide variety of research topics are covered, ranging from approximation theory to structured numerical linear algebra. More precisely, the book provides (i) a self-contained introduction to B-splines, with special focus on approximation and hierarchical refinement, (ii) a broad survey of numerical schemes for control problems based on B-splines and B-spline-type wavelets, (iii) an exhaustive description of methods for computing and analyzing the spectral distribution of discretization matrices, and (iv) a detailed overview of the mathematical and implementational aspects of isogeometric analysis. The text is the outcome of a C.I.M.E. summer school held in Cetraro (Italy), July 2017, featuring four prominent lecturers with different theoretical and application perspectives. The book may serve both as a reference and an entry point into further research.
A Computational Investigation Of Least Squares And Other Projection Methods For The Approximate Solution Of Boundary Value Problems
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Author : Steven Mark Serbin
language : en
Publisher:
Release Date : 1971
A Computational Investigation Of Least Squares And Other Projection Methods For The Approximate Solution Of Boundary Value Problems written by Steven Mark Serbin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Boundary value problems categories.
Implementation Of The Wavelet Galerkin Method For Boundary Value Problems
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Author : Adam K. Scheider
language : en
Publisher:
Release Date : 1998
Implementation Of The Wavelet Galerkin Method For Boundary Value Problems written by Adam K. Scheider and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Boundary value problems categories.
"The objective of this work is to develop a systematic method of implementing the Wavelet-Galerkin method for approximating solutions of differential equations. The beginning of this project included understanding what a wavelet is, and then becoming familiar with some of the applications. The Wavelet-Galerkin method, as applied in this paper, does not use a wavelet at all. In actuality, it uses the wavelet's scaling function. The distinction between the two will be given in the following sections of this paper. The sections of this thesis will include defining wavelets and their scaling functions. This will give the reader valued insight to wavelets and Discrete Wavelet Transforms (DWT). Following this will be a section defining the Galerkin method. The purpose of this section will be to give the reader an understanding of how weighted residual methods work, in particular, the Galerkin Method. Next will be a section on how Scaling functions will be implemented in the Galerkin method, forming the Wavelet-Galerkin Method. The focus of this investigation will deal with solutions to a basic homogeneous differential equation. The solution of this basic equation will be analyzed using three separate, distinct methods, and then the results will be compared. These methods include the Wavelet-Galerkin Method, the Galerkin Method using quadratic shape functions, and standard analytical means. Factors to be studied include computational time, effort, accuracy, and ease of implementing the method of solution. After a thorough comparison has been made, there will be a section to talk about possible applications of the Wavelet-Galerkin method and recommendations for future work. Predictions of what avenues to pursue in refining the Wavelet-Galerkin method will also be stated. And suggestions on how to make the method more accurate will be given."--Abstract.