Wavelet Method for the Fast Resolution of 2-D Boundary Integral Equations
Author: Zhang Pingwen
Publisher:
Published: 1995
Total Pages: 16
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: Zhang Pingwen
Publisher:
Published: 1995
Total Pages: 16
ISBN-13:
DOWNLOAD EBOOKAuthor: Zhang Pingwen
Publisher:
Published: 1995
Total Pages: 15
ISBN-13:
DOWNLOAD EBOOKAuthor: You-He Zhou
Publisher: Springer Nature
Published: 2021-03-09
Total Pages: 478
ISBN-13: 9813366435
DOWNLOAD EBOOKThis 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.
Author: Angela Kunoth
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 150
ISBN-13: 332280027X
DOWNLOAD EBOOKDiese 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.
Author: Ronald DeVore
Publisher: Springer Science & Business Media
Published: 2009-09-16
Total Pages: 671
ISBN-13: 3642034136
DOWNLOAD EBOOKThe book of invited articles offers a collection of high-quality papers in selected and highly topical areas of Applied and Numerical Mathematics and Approximation Theory which have some connection to Wolfgang Dahmen's scientific work. On the occasion of his 60th birthday, leading experts have contributed survey and research papers in the areas of Nonlinear Approximation Theory, Numerical Analysis of Partial Differential and Integral Equations, Computer-Aided Geometric Design, and Learning Theory. The main focus and common theme of all the articles in this volume is the mathematics building the foundation for most efficient numerical algorithms for simulating complex phenomena.
Author: Helmut Harbrecht
Publisher:
Published: 2006
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Bing-Yuan Cao
Publisher: Springer
Published: 2019-03-18
Total Pages: 421
ISBN-13: 3030027775
DOWNLOAD EBOOKThis book presents the latest advances in applying fuzzy sets and operations research technology and methods. It is the first fuzzy mathematics textbook for students in high school and technical secondary schools. Part of Springer’s book series: Advances in Intelligent and Soft Computing, it includes the 36 best papers from the Ninth International Conference on Fuzzy Information and Engineering (ICFIE2017), organized by the Fuzzy Information and Engineering Branch of Operations Research Society of China and Operations Research Society of Guangdong Province in China. Every paper has been carefully peer-reviewed by leading experts. The areas covered include 1. Fuzzy Measure and Integral; 2. Fuzzy Topology and Algebras; 3. Classification and Recognition; 4. Control and Fuzziness; 5. Extension of Fuzzy Set and System; 6. Operations Research and Management (OR); The book is suitable for college, masters and doctoral students; educators in universities, colleges, middle and primary schools teaching mathematics, fuzzy sets and systems, operations research, information and engineering, as well as management, control. Discussing case applications, it is also a valuable reference resource for professionals interested in theoretical and practical research.
Author: Steffen Börm
Publisher: European Mathematical Society
Published: 2010
Total Pages: 452
ISBN-13: 9783037190913
DOWNLOAD EBOOKHierarchical matrices present an efficient way of treating dense matrices that arise in the context of integral equations, elliptic partial differential equations, and control theory. While a dense $n\times n$ matrix in standard representation requires $n^2$ units of storage, a hierarchical matrix can approximate the matrix in a compact representation requiring only $O(n k \log n)$ units of storage, where $k$ is a parameter controlling the accuracy. Hierarchical matrices have been successfully applied to approximate matrices arising in the context of boundary integral methods, to construct preconditioners for partial differential equations, to evaluate matrix functions, and to solve matrix equations used in control theory. $\mathcal{H}^2$-matrices offer a refinement of hierarchical matrices: Using a multilevel representation of submatrices, the efficiency can be significantly improved, particularly for large problems. This book gives an introduction to the basic concepts and presents a general framework that can be used to analyze the complexity and accuracy of $\mathcal{H}^2$-matrix techniques. Starting from basic ideas of numerical linear algebra and numerical analysis, the theory is developed in a straightforward and systematic way, accessible to advanced students and researchers in numerical mathematics and scientific computing. Special techniques are required only in isolated sections, e.g., for certain classes of model problems.
Author: Helmut Harbrecht
Publisher:
Published: 2006
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Jaideva C. Goswami
Publisher: John Wiley & Sons
Published: 2011-03-08
Total Pages: 310
ISBN-13: 0470934646
DOWNLOAD EBOOKMost existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a thorough treatment of the subject from an engineering point of view. It is a one-stop source of theory, algorithms, applications, and computer codes related to wavelets. This second edition has been updated by the addition of: a section on "Other Wavelets" that describes curvelets, ridgelets, lifting wavelets, etc a section on lifting algorithms Sections on Edge Detection and Geophysical Applications Section on Multiresolution Time Domain Method (MRTD) and on Inverse problems