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Integral Equations:     more books (108)

Handbook of First-Order Partial Differential Equations (Differential and Integral Equations and Their Applications) (v. 1) by Andrei D. Polyanin, Valentin F. Zaitsev, et all 2001-11-15 Acoustic and Electromagnetic Equations: Integral Representations for Harmonic Problems (Applied Mathematical Sciences) by Jean-Claude Nedelec, 2010-11-02 Singular Integral Equations by Ricardo Estrada, Ram P. Kanwal, 1999-12-10 Periodic Integral and Pseudodifferential Equations with Numerical Approximation (Springer Monographs in Mathematics) by Jukka Saranen, Gennadi Vainikko, 2010-11-02 Large-Time Behavior of Solutions of Linear Dispersive Equations (Lecture Notes in Mathematics) (Volume 0) by Daniel B. Dix, 1997-09-18 Integral Methods in Science and Engineering: Theoretical and Practical Aspects Integral Equation Methods in Potential Theory and Elastostatics (Computational mathematics and applications) by M.A. Jaswon, G.T. Symm, 1977-12 Random Integral Equations with Applications to Life Sciences and Engineering (Mathematics in Science and Engineering) by Anatoli Torokhti, Phil Howlett, 1974-02-26 Linear Integral Equations 1ST Edition by William Vernon Lovitt, 1924 Treatment of Integral Equations by Numerical Methods by Christopher T. H. Baker, 1983-03 The Boundary Integral Equation Method for Porous Media Flow by James A. Liggett, Philip L. F. Liu, 1982-11 The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type (Lecture Notes in Mathematics) by Kai Diethelm, 2010-09-02 Mapped Vector Basis Functions for Electromagnetic Integral Equations (Synthesis Lectures on Computational Electromagnetics) Integral Equation Techniques in Transient Electromagnetics (Advances in Electrical and Electronic Engineering)

lists with details

61. Integral Equations: A Practical Treatment, From Spectral Theory To Applications
    This book gives a rigorous and practical treatment of integral equations. integral equations A Practical Treatment, from Spectral Theory to Applications.  
    http://books.cambridge.org/0521337429.htm
    
    Extractions: This book gives a rigorous and practical treatment of integral equations. These are significant because they occur in many problems in mathematics, physics and engineering and they offer a powerful (sometimes the only) technique for solving these problems. The book aims to tackle the solution of integral equations using a blend of abstract ‘structural’ results and more direct, down-to-earth mathematics. The interplay between these two approaches is a central feature of the text and it allows a thorough account to be given of many of the types of integral equation which arise in application areas. Since it is not always possible to find explicit solutions of the problems posed, much attention is devoted to obtaining qualitative information and approximations to the solutions, with the associated error estimates. This treatment is intended for final year mathematics undergraduates, postgraduates and research workers in application areas such as numerical analysis and fluid mechanics. Cambridge University Press 2004.

62. Wiley Canada::Introduction To Integral Equations With Applications, 2nd Edition
    Wiley Canada Mathematics Statistics Mathematics Special Topics Introduction to integral equations with Applications, 2nd Edition.  
    http://www.wiley.ca/WileyCDA/WileyTitle/productCd-0471317349.html

63. Wiley Canada::Integral Equations
    . Mathematics Special Topics, integral equations Harry Hochstadt ISBN 0471-50404-1 Paperback 294 pages January 1989 CDN $166.99 Add to Cart.  
    http://www.wiley.ca/WileyCDA/WileyTitle/productCd-0471504041.html

64. Handbook Of Integral Equations
    Handbook of integral equations Andrei D. Polyanin integral equations are encountered in various fields of science and in numerous applications, including  
    http://216.149.237.254/ei-math/hie.html
    
    Extractions: Integral equations are encountered in various fields of science and in numerous applications, including elasticity, plasticity, heat and mass transfer, oscillation theory, fluid dynamics, filtration theory, electrostatics, electrodynamics, biomechanics, game theory, control, queuing theory, electrical engineering, economics, and medicine. Exact (closed-form) solutions of integral equations play an important role in the proper understanding of qualitative features of many phenomena and processes in various areas of natural science. Equations of physics, chemistry, and biology contain functions or parameters obtained from experiments - hence, they are not strictly fixed. Therefore, it is expedient to choose the structure of these functions for more easily analyzing and solving the equation. As a possible selection criterion, one may adopt the requirement that the model integral equation admit a solution in a closed form. Exact solutions can be used to verify the consistency and estimate errors of various numerical, asymptotic, and approximate methods.

65. Research-Differential And Integral Equations
    Differential and integral equations. Scalar conservation laws; Nonlinear diffusion equations; Free boundary problems; Nonlinear Volterratype integral equations;  
    http://www.im.pwr.wroc.pl/ang/research/die.html

66. SAM - Fast Algorithms For The Discretization Of Integral Equations
    Fast Algorithms for the Discretization of integral equations. Project Leader Prof. C. Schwab. Researchers Prof. C. Schwab, G. Schmidlin. Date 22.03.2000.  
    http://www.sam.math.ethz.ch/completed_projects/schwab/schwab_schmidlin
    
    Extractions: About Us Find Us People at SAM Contact ... Prof. Jörg Waldvogel Project Leader: Prof. C. Schwab Researchers: Prof. C. Schwab, G. Schmidlin Date: Many three-dimensional problems in possibly unbounded domains can be reduced to integral equations on the boundary of the domain. The discretization of these equations by finite elements on the boundary leads to the so-called Boundary Element Method (BEM) which has, in recent years, become a widely used tool in enineering. Its comptetitvness has, however, been moderate through the substantial quadrature work necessary to generate the dense stiffness matrices. The recently developed fast algorithms, such as MULTIPOLE, PANEL CLUSTERING and also WAVELET-BASED METHODS allow to decrease the computational complexity of BEM by several orders of magnitude. The project aims at the mathematical analysis and computer implementation of fast algorithms for boundary integral equations in mechanics. Emphasis is placed on large scale (3-d) problems in complex geometries and the treatment of as wide a class of integral equations as possible. Prof. Christoph Schwab

67. SAM - Fast Algorithms For The Discretization Of Integral Equations
    Fast Algorithms for the Discretization of integral equations. Project Leader Prof. C. Schwab. Researchers Dr. G. Schmidlin. Date 07.02.2002.  
    http://www.sam.math.ethz.ch/completed_projects/schwab/schmidlin
    
    Extractions: Geometry 2 The present project was supported in part under the TMR network "Multiscale Methods in Numerical Analysis" of the EC by the Swiss government under grant number BBW 97.0404. Many three-dimensional problems in possibly unbounded domains can be reduced to integral equations on the boundary of the domain. The discretization of these equations by finite elements on the boundary leads to the so-called Boundary Element Method (BEM) which has, in recent years, become a widely used tool in engineering. Its competitiveness has, however, been moderate through the substantial quadrature work necessary to generate the dense stiffness matrices. The recently developed fast algorithms, such as MULTIPOLE, PANEL CLUSTERING and also WAVELET-BASED METHODS allow to decrease the computational complexity of BEM by several orders of magnitude. While the PANEL CLUSTERING is more resistant to complex geometries (see images on the right: geometry 1, geometry 2) than the WAVELET-BASED METHODS the latter allow better preconditioning. With a new Haar wavelet basis constructed by agglomeration we combine the robustness of the PANEL CLUSTERING with the advantage of the WAVELET-BASED METHODS. The basis transformation is an O(N) algorithm and allows WAVELETS with non connected support ( ) as in SS. With the new Haar basis at hand we implemented in the object oriented programming framework a preconditioner for weakly singular boundary integral equations of the first kind.

68. Recent Research | Numerical Integral Equations
    Numerical integral equations. Math. 22 (2004), pp. 287298. (pdf ) (ps ). An Euler-type method for two-dimensional Volterra integral equations of the first kind.  
    http://www.math.hkbu.edu.hk/~ttang/integral.html

69. Volterra Integral Equations For Simulation Modeling Of Complex Biological Phenom
    Volterra integral equations for simulation modeling of complex biological phenomena. next up previous Next Bibliography Up Motivations  
    http://www.iac.rm.cnr.it/~natalini/prog03/node16.html
    
    Extractions: Next: Bibliography Up: Motivations and national and Previous: Numerical analysis of integral In the course of this project, we aim at a comparison of models based on the use of differential equations(ODEs) with models based instead on Volterra integral or integro-differential equations (VIEs or VIDEs). In applied mathematics, there are in fact many instances in which integral or integro-differential equations can directly implement a simulation of hereditary or transmissible phenomena; Volterra equations are also useful for representing problems traditionally based on ordinary or partial differential equations (PDEs). For example, in the case of the dynamics of virus infection it is possible to derive two fully equivalent models, of which one appears to be significantly more convenient than the other. One of these models is based on the use of three Volterra integral equations, while the other requires ordinary differential equations, where

70. Logarithmic Integral Equations In Electromagnetics
    electronic mailing list. Logarithmic integral equations in Electromagnetics. Yu.V. Shestopalov, Yu.G. Smirnov and EV Chernokozhin. This book  
    http://www.vsppub.com/books/mathe/bk-LogIntEquEle.html
    
    Extractions: You can now add your name to our electronic mailing list Yu.V. Shestopalov, Yu.G. Smirnov and E.V. Chernokozhin This book presents an extensive overview of logarithmic integral operators with kernels depending on one or several complex parameters. Solvability of corresponding boundary value problems and determination of characteristic numbers are analyzed by considering these operators as operator-value functions of appropriate complex (spectral) parameters. Therefore, the method serves as a useful addition to classical approaches. Special attention is given to the analysis of finite-meromorphic operator-valued functions, and explicit formulas for some inverse operators and characteristic numbers are developed, as well as the perturbation technique for the approximate solution of logarithmic integral equations. All essential properties of the generalized single- and double-layer potentials with logarithmic kernels and Green's potentials are considered. Fundamentals of the theory of infinite-matrix summation operators and operator-valued functions are presented, including applications to the solution of logarithmic integral equations. Many boundary value problems for the two-dimensional Helmholtz equation are discussed and explicit formulas for Green's function of canonical domains with separated logarithmic singularities are presented. This book, presenting all necessary references to the spectral theory, will serve as an efficient instrument for the analysis of logarithmic integral equations and will be of value and interest to researchers in the field of mathematical physics, theoretical electromagnetics, integral equations and spectral theory of operators.

71. Integral Equations And Iteration Methods In Electromagnetic Scattering
    You can now add your name to our electronic mailing list. integral equations and Iteration Methods in Electromagnetic Scattering. AB Samokhin.  
    http://www.vsppub.com/books/mathe/bk-IntEquIteMetEleSca.html
    
    Extractions: You can now add your name to our electronic mailing list A.B. Samokhin The analysis of scattering of electromagnetic waves in inhomogeneous three-dimensional bounded media is extremely important from both theoretical and practical viewpoints, and constitutes the core family of problems in electromagnetics. In this monograph the following fundamental topics relating to these problems are considered: mathematical problems and methods related to the scattering of electromagnetic waves by inhomogeneous three-dimensional anisotropic bodies and their reduction to volume singular integral equations; iteration techniques for solving linear operator equations; and efficient methods for solving volume integral equations that employ iteration procedures. Nowadays, volume singular integral equations are widely used as an efficient tool of numerical solution to the problems of complicated three-dimensional structures. Analysis of integral equations and corresponding scattering problems, including nonclassical ones, is performed in the general formulation. The necessary and sufficient conditions that provide fulfilment of the Noether property of operators and sufficient conditions for the Fredholm property are obtained. Existence and uniqueness theorems for scattering problems considered in both classical and nonclassical settings are proved. Much attention is given to iteration techniques and development of corresponding computational algorithms.

72. Integral Equations
    integral equations and the Method of Green s Functions James V. Herod*. CHAPTER I. integral equations. SECTION 2. THE FREDHOLM ALTERNATIVE THEOREMS.  
    http://www.mathphysics.com/pde/green/jvhgI2.html
    
    Extractions: Page maintained by Evans M. Harrell, II harrell@math.gatech.edu CHAPTER I. INTEGRAL EQUATIONS SECTION 2. THE FREDHOLM ALTERNATIVE THEOREMS A first understanding of the problem of solving an integral equation y = K y + f can be made by reviewing the Fredholm Alternative Theorems in this context. (Review the alternative theorem for matrices.) I. Exactly one of the following holds: (a)( First Alternative ) if f is in L has one and only one solution. (b)( Second Alternative has a nontrivial solution. II. (a) If the first alternative holds for the equation then it also holds for the equation z(x) = I(0,1, ) K(t,x) z(t) dt + g(x). (b) In either alternative, the equation and its adjoint equation have the same number of linearly independent solutions. III. Suppose the second alternative holds. Then has a solution if and only if for each solution z of the adjoint equation Comparing this context for the Fredholm Alternative Theorems with an understanding of matrix examples seems irresistible. Since these ideas will re-occur in each section, the student should pause to make these comparisons.

73. Integral Equations
    integral equations and the Method of Green s Functions James V. Herod*. CHAPTER I. integral equations. SECTION 1.1. GEOMETRY AND INTEGRAL OPERATORS.  
    http://www.mathphysics.com/pde/green/jvhgI1.html
    
    Extractions: Page maintained by Evans M. Harrell, II harrell@math.gatech.edu CHAPTER I. INTEGRAL EQUATIONS SECTION 1.1. GEOMETRY AND INTEGRAL OPERATORS In this section, instead of working in the space R n , we will work in a space of functions defined on an interval. At an abstract level, many sets of functions have the same properties as a vector space like R n , and this analogy will be extremely useful in this section. It will be developed rather rapidly. If you would prefer a somewhat more detailed discussion of vector spaces, read the first two sections of this link before proceeding. Most often, we will take the interval on which our functions are defined to be [0,1]. Of course, we will not work in the class of all functions on [0,1]; rather, in the spirit of the previous section, we ask that the linear space should consist of functions f for which Then, we have an inner product space as we did in the previous section. This space is called L ( [0,1] ) . The dot product of two functions is given by

74. Archives: Browse By Subject: Integral Equations
    archives, Browse by Subject integral equations. (Top Level) Mathematics of Computing NUMERICAL ANALYSIS (0) integral equations (0).  
    http://archives.cs.iastate.edu/view-G.1.9.html

75. Differential And Integral Equations. Books On Science. On-line Bookstore. Editor
    BOOKS IN EUROPEAN LANGUAGES Differential and integral equations. BOOKS IN RUSSIAN LANGUAGE. Differential and integral equations, Sort by, Rating, Title, Author.  
    http://urss.ru/cgi-bin/db.pl?cp=&page=Catalog&id=&lang=en&blang=en&list=47

76. Differential And Integral Equations. Books On Science. On-line Bookstore. Editor
    BOOKS IN RUSSIAN LANGUAGE Differential and integral equations. BOOKS IN EUROPEAN LANGUAGES. Differential and integral equations, Sort by, Rating, Title, Author.  
    http://urss.ru/cgi-bin/db.pl?cp=&page=Catalog&id=&lang=en&blang=ru&list=47

77. USM
    Inapoi. (08.04.2004), The Scientific International Conference integral equations and Application in Physics, Mechanics and Medicine (EIAPMM2004).  
    http://www.usm.md/news.asp?ids=43

78. Integral Equations|KLUWER Academic Publishers
    Differential and integral equations through Practical Problems and Exercises Gheorghe Micula, Paraschiva Pavel August 1992, ISBN 07923-1890-0, Hardbound Price  
    http://www.wkap.nl/home/topics/J/5/2/

79. Methods In Nonlinear Integral Equations|KLUWER Academic Publishers
    Books » Methods in Nonlinear integral equations. Methods in Nonlinear integral equations. Add to cart. by Radu Precup Dept. of Applied  
    http://www.wkap.nl/prod/b/1-4020-0844-9

80. Singular Integral Equations
    Singular integral equations Boundary Problems of Function Theory Their Applications to Mathematical Physics Singular integral equations Boundary Problems  
    http://mathematicsbooks.org/Singular_Integral_Equations.html
    
    Extractions: This appreciated book constitutes since its first printing one of the finest references on advanced harmonic analysis and some related topics. The author, one of the leading experts in the field, exposes clearly most of the general background as well as recent results, orienting the reader directly to the current trends in research.The book is valuable not only for harmonic analysis speciallists, but for every mathematician who wants to get well trained in some important and subtle topics of ... To be honest, I have not gone into a thourough and complete reading of the texbook, but I picked up several and sparse subjects in order to get a better understanding about some issues relating linear transport theory. But also in a limited use like that I cannot help recognizing that, even after half a century, this book remains a milestone in integral equations and boundary problems. Deep, clear, and available also to ready-to-use requests, it may seem a bit out of fashion for the light use...

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