Hypersingular Integral Equations And Their Applications
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Hypersingular Integral Equations And Their Applications
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Author : I.K. Lifanov
language : en
Publisher: CRC Press
Release Date : 2003-12-29
Hypersingular Integral Equations And Their Applications written by I.K. Lifanov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-29 with Mathematics categories.
A number of new methods for solving singular and hypersingular integral equations have emerged in recent years. This volume presents some of these new methods along with classical exact, approximate, and numerical methods. The authors explore the analysis of hypersingular integral equations based on the theory of pseudodifferential operators and co
Hypersingular Integrals And Their Applications
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Author : Stefan Samko
language : en
Publisher: CRC Press
Release Date : 2001-10-25
Hypersingular Integrals And Their Applications written by Stefan Samko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-25 with Mathematics categories.
Hypersingular integrals arise as constructions inverse to potential-type operators and are realized by the methods of regularization and finite differences. This volume develops these approaches in a comprehensive treatment of hypersingular integrals and their applications. The author is a renowned expert on the topic. He explains the basics before building more sophisticated ideas, and his discussions include a description of hypersingular integrals as they relate to functional spaces. Hypersingular Integrals and Their Applications also presents recent results and applications that will prove valuable to graduate students and researchers working in mathematical analysis.
Applied Singular Integral Equations
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Author : B. N. Mandal
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Applied Singular Integral Equations written by B. N. Mandal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
The book is devoted to varieties of linear singular integral equations, with special emphasis on their methods of solution. It introduces the singular integral equations and their applications to researchers as well as graduate students of this fascinating and growing branch of applied mathematics.
Topics In Integral And Integro Differential Equations
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Author : Harendra Singh
language : en
Publisher: Springer Nature
Release Date : 2021-04-16
Topics In Integral And Integro Differential Equations written by Harendra Singh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-16 with Technology & Engineering categories.
This book includes different topics associated with integral and integro-differential equations and their relevance and significance in various scientific areas of study and research. Integral and integro-differential equations are capable of modelling many situations from science and engineering. Readers should find several useful and advanced methods for solving various types of integral and integro-differential equations in this book. The book is useful for graduate students, Ph.D. students, researchers and educators interested in mathematical modelling, applied mathematics, applied sciences, engineering, etc. Key Features • New and advanced methods for solving integral and integro-differential equations • Contains comparison of various methods for accuracy • Demonstrates the applicability of integral and integro-differential equations in other scientific areas • Examines qualitative as well as quantitative properties of solutions of various types of integral and integro-differential equations
Singular Integral Equations
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Author : N. I. Muskhelishvili
language : en
Publisher: Courier Corporation
Release Date : 2008-01-01
Singular Integral Equations written by N. I. Muskhelishvili and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Science categories.
This high-level treatment considers one-dimensional singular integral equations involving Cauchy principal values, covering Hölder condition, Hilbert and Riemann-Hilbert problems, Dirichlet problems, inversion formulas for arcs, more. 1992 edition.
Integral Equations And Their Applications
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Author : Witold Pogorzelski
language : en
Publisher:
Release Date : 1966
Integral Equations And Their Applications written by Witold Pogorzelski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
The Fast Solution Of Boundary Integral Equations
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Author : Sergej Rjasanow
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-17
The Fast Solution Of Boundary Integral Equations written by Sergej Rjasanow 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 2007-04-17 with Mathematics categories.
This book provides a detailed description of fast boundary element methods, all based on rigorous mathematical analysis. In particular, the authors use a symmetric formulation of boundary integral equations as well as discussing Galerkin discretisation. All the necessary related stability and error estimates are derived. The authors therefore describe the Adaptive Cross Approximation Algorithm, starting from the basic ideas and proceeding to their practical realization. Numerous examples representing standard problems are given.
Integral Equations And Their Applications
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Author : Witold Pogorzelski
language : en
Publisher:
Release Date : 1966
Integral Equations And Their Applications written by Witold Pogorzelski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
Singular Integral Equations
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Author : Nikolaĭ Ivanovich Muskhelishvili
language : en
Publisher:
Release Date : 1958
Singular Integral Equations written by Nikolaĭ Ivanovich Muskhelishvili and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Boundary value problems categories.
Linear Integral Equations
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Author : Rainer Kress
language : en
Publisher: Springer
Release Date : 2013-12-06
Linear Integral Equations written by Rainer Kress and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-06 with Mathematics categories.
This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter. For this third edition in order to make the introduction to the basic functional analytic tools more complete the Hahn–Banach extension theorem and the Banach open mapping theorem are now included in the text. The treatment of boundary value problems in potential theory has been extended by a more complete discussion of integral equations of the first kind in the classical Holder space setting and of both integral equations of the first and second kind in the contemporary Sobolev space setting. In the numerical solution part of the book, the author included a new collocation method for two-dimensional hypersingular boundary integral equations and a collocation method for the three-dimensional Lippmann-Schwinger equation. The final chapter of the book on inverse boundary value problems for the Laplace equation has been largely rewritten with special attention to the trilogy of decomposition, iterative and sampling methods Reviews of earlier editions: "This book is an excellent introductory text for students, scientists, and engineers who want to learn the basic theory of linear integral equations and their numerical solution." (Math. Reviews, 2000) "This is a good introductory text book on linear integral equations. It contains almost all the topics necessary for a student. The presentation of the subject matter is lucid, clear and in the proper modern framework without being too abstract." (ZbMath, 1999)