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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. Springer LINK - Integral Equations And Operator Theory - About This Journal
    LINK, Forum Birkhäuser IEOT. Forum What's New Search Orders HelpdeskUp. Editorial Board; Aims Scope; Subscription Information; Instructions  
    http://link.springer-ny.com/link/service/journals/00020/about.htm

62. Springer LINK - Integral Equations And Operator Theory - Aims & Scope
    integral equations and Operator Theory (IEOT) appears monthly and is devoted to thepublication of current research in integral equations, operator theory and  
    http://link.springer-ny.com/link/service/journals/00020/aims.htm
    
    Extractions: Integral Equations and Operator Theory (IEOT) appears monthly and is devoted to the publication of current research in integral equations, operator theory and related topics with emphasis on the linear aspects of the theory. The journal reports on the full scope of current developments from abstract theory to numerical methods and applications to analysis, physics, mechanics, engineering and others. The journal consists of two sections: a main section consisting of refereed papers and a second consisting of short announcements of important results, open problems, information, etc. Abstracted/Indexed in:

63. The Ornstein-Zernike Equation And Integral Equations
    for polymer Previous The radial distribution function The OrnsteinZernikeequation and integral equations. As we have stressed at  
    http://www.tn.utwente.nl/cdr/PolymeerDictaat/node15.html
    
    Extractions: Next: Molecular liquids Up: Integral equations for polymer Previous: The radial distribution function As we have stressed at the beginning of the previous section, the surplus of density may be regarded as being the convolution of a short range function and itself. We formalize this by introducing the direct correlation function c r ) according to

64. Constructive Error Analysis For Linear Differential And Integral Equations
    The theoreticalbasis is described with an approach using integral equations.  
    http://www.icfes.gov.co/socolmat/revistas/lecturas/volumen19-2/98190201.html
    
    Extractions: Volumen 19 A BSTRACT. This paper deals with a conceptual simple approach for an effective a posteriori error analysis for linear problems ranging from Volterra equations to initial value problems for ordinary and partial differential equations. The theoretical basis is described with an approach using integral equations. It is then demostrated that this concept leads to computable and safe error for a wide class of problems. Key words and phrases . Constructive error analysis, computable error bounds. 1991 Mathematics Subject Classification. Primary 45L10, 65G10, 65L05, 65M15. R ESUMEN. DVI (51 KB) y PDF (175 KB). Retorno a la portada

65. MA5045S Integral Equations - 2002/3
    MA5045S integral equations 2002/3. Module Detail. Solution of Volterra integralequations with convolution (difference) kernels by Laplace transform methods.  
    http://www.brunel.ac.uk/admin/registry/module/curr/module_detail_si/MA5045S.shtm
    
    Extractions: On successful completion of the module, students will be able to: solve explicitly several classes of integral equations, either exactly or approximately, selecting methods of treatment appropriately, depending on an initial classification of the integral equation; for certain classes of integral equation, establish existence of solution indirectly, for example by conversion of the problem to a new, equivalent problem, and by application of the Fredholm alternative; solve linear Volterra and Fredholm integral equations numerically, by a variety of methods, and implement simple numerical solution schemes using Matlab; prove stability and analyse convergence for classes of numerical methods for linear integral equations.

66. Hackbusch - Integral Equations
    Prof. Dr. Wolfgang Hackbusch integral equations. Theory and Numerical Treatment. IntegralEquations. Theory and Numerical Treatment. From the Preface.  
    http://www.numerik.uni-kiel.de/wh/monographien/IGL.engl.html
    
    Extractions: ISBN 0-8176-2871-1 (Boston) Volterra and Fredholm integral equations form the domain of this book. Special chapters are devoted to Abel's integral equations and the singular integral equation with Cauchy kernel; others focus on the integral equation method and the boundary element method (BEM). Many chapters have an introductory character, while special subsections give more advanced information. Intended readers are students of mathematics as well as postgraduates. Originally published in German under the title Integralgleichungen. Theorie und Numerik [Hackbusch-Homepage] The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the boundary integral equation method , which transforms partial differential equations on a domain into integral equations over its boundary.

67. Results
    Search Results. Search Results for integral equations IN keyword Found9 of 105,850 searched. Rerun within the Portal Search within Results  
    http://portal.acm.org/results.cfm?query=integral equations keyword&coll=por

68. Integral Equations With Hypersingular Kernels -- Theory And Applications To Frac
    International Journal of Engineering Science (in press) 2003. integral equationswith Hypersingular Kernels Theory and Applications to Fracture Mechanics.  
    http://www.cee.uiuc.edu/paulino/Pages/Publications/Papers/qam.htm
    
    Extractions: Hypersingular integrals of the type and are investigated for general integers a (positive) and m (non-negative), where T n (s) and U n (s) are the Tchebyshev polynomials of the 1st and 2nd kinds, respectively. Exact formulas are derived for the cases a = 1, 2, 3, 4, and m = 0, 1, 2, 3; most of them corresponding to new solutions derived in this paper. Moreover, a systematic approach for evaluating these integrals when a m Key words : hypersingular integrals, Tchebyshev polynomials, stress intensity factors, functionally graded materials, gradient elasticity theory, linear elastic fracture mechanics. Representative Results Closed form solutions Back to Publication List

69. Solving An Inverse Problem For Urison-type Integral Equations Using Banach's Fix
    Inverse Problems 19 (April 2003) 411418. Solving an inverse problem forUrison-type integral equations using Banach's fixed point theorem.  
    http://www.iop.org/EJ/S/UNREG/FVh5y8fFuzmAlkV,Sw7i9Q/abstract/-ffissn=0266-5611/
    
    Extractions: Journals sitemap: IOP home page IOP online services EJs HOME JOURNAL HOME   - Editorial information   - Scope   - Editorial board   - Submit an article   - Request sample copy EJS EXTRA   - IOP Select   - IOP Physics Reviews   - BEC Matters! SEARCH   - Content finder   - Default searches AUTHORS   - Submit an article   - Status enquiry   - Get LaTeX class file   - Classification schemes   - Scope   - Editorial board REFEREES   - Submit referee report   - Become a referee   - Update personal details   - Classification schemes   - Scope   - Editorial board LIBRARIANS   - Register your institution   - Pricing and ordering   - Library branding   - How to link to IOP journals   - Librarian help USER OPTIONS   - Create account   - Lost password

70. Stochastic Integral Equations And Rainfall - Runoff Models (More)
    Stochastic integral equations and Rainfall Runoff Models. A method to include thisuncertainty in runoff estimates is to use stochastic integral equations.  
    http://www.hromadka.net/STOCHA1_More.html
    
    Extractions: The subject of rainfall-runoff modeling involves a wide spectrum of topics. Fundamental to each topic is the problem of accurately computing runoff at a point given rainfall data at another point. The fact that there is currently no one universally accepted approach to computing runoff, given rainfall data, indicates that a purely deterministic solution to the problem has not yet been found. The usual approach used by rainfall-runoff modelers is to attempt to compute the expected value of the criterion variable under study (e.g., peak flow rate, pipe size for the design condition. etc.). However, with the acknowledged uncertainty in rainfall-runoff estimates, it may be more appropriate to compute the probabilistic distribution of the subject criterion variable given the past history of performance from the chosen rainfall-runoff model. and then use a confidence interval limit as the design objective. A method to include this uncertainty in runoff estimates is to use stochastic integral equations. By means of stochastic integral equations, the rainfall-runoff model's history of error (developed from prior rainfall-runoff data) can be used to develop the probable variations in predicted runoff estimates, given a hypothetical rainfall event. Any reasonable rainfall-runoff model can be used, no matter the level of complexity, and an appropriate stochastic integral equation developed which approximately represents the model's performance in accurately estimating runoff.

71. Recent Research | Numerical Integral Equations
    Numerical integral equations. An Eulertype method for two-dimensional Volterraintegral equations of the first kind. S. McKee, T. Tang, and T. Diogo ..  
    http://www.math.hkbu.edu.hk/~ttang/integral.html

72. Introduction To Integral Equations
    It is to present the subject of integral equations, their varied applications andbasic methods of solutions, on a level close to that of a first (sophomore  
    http://www.clarkson.edu/~jerria/solnman/inteq.html
    
    Extractions: Table of Contents Preface We should point out here that for this elementary presentation of integral equations, assuming only calculus and differential equatoins preparation, the treatment in all chapters, except for the (optional) Chapter 6, is formal . This is in the sense that clear procedures and steps, for arriving at the solution or some basic results, are emphasized without, necessarily, stopping to give their complete mathematical justification. The latter, most often, requires more advanced mathematics preparation. Thus we shall be limited to give those justifications that would not require us to go beyond the level of this basic applicable undergraduate text. In this second edition all comments, suggestions and corrections relayed by students, colleagues from around the world, and the expert reviewers of the journals of mathematics and other concerned professions, were addressed. They all deserve my sincere thanks and appreciation. Such suggestions, it is hoped, will help this edition in even more on attaining the same goal set in the first edition for an undergraduate focusing integral equations text to serve the students of science, engineering, and mathematics. To stay with this important goal, and keep the required text material to a comparable size to that of the first edition, we decided to have a new (optional) Chapter 7 for the detailed numerical methods. This includes using higher quadrature rules for the numerical approximation of the integrals. The main changes made for this second edition, in light of the suggestions received are:

73. 45-XX
    45XX integral equations. 45A05 Linear integral equations; 45B05 Fredholm integralequations; 45C05 Eigenvalue problems, See also {34Lxx, 35Pxx, 45P05, 47A75};  
    http://www.ma.hw.ac.uk/~chris/MR/45-XX.html

74. ABSTRACT: Convergence Estimates For Solution Of Integral Equations With GMRES
    Convergence Estimates For Solution Of integral equations With GMRES. JOURNALJournal of integral equations and Applications Vol 8, 1996, pp. 1934.  
    http://meyer.math.ncsu.edu/Meyer/Abstracts/IntegralEquationsGmres.html

75. Quadratic Functionals And Integral Equations For Harmonic Wave Equations In Exte
    Friday, June 5. IP9 Quadratic Functionals and integral equationsfor Harmonic Wave Equations in Exterior Domains. 800 AM845 AM  
    http://www.siam.org/meetings/wp98/ip9.htm
    
    Extractions: Room 246 Harmonic linear wave equations in exterior domains may model the scattering and propagation of pressure waves, electromagnetic waves or elastodynamic waves. They lead to a large fields of application, including radar cross section calculations. Using the out-going fundamental solution, integral equations reduce the exterior problem to a problem posed on the boundary of the scattering obstacle. After discretisation one obtains a complex matrix which is classically directly inverted. In this lecture, the speaker will introduce a "natural" quadratic function that reaches its minimum in the space of all out-going and in-going solutions at the solution of the model exterior problem. Eliminating the singularities, a new mixed real integral system results. The discrete problem is solved using standard iterative algorithms such a the real conjugate gradient method and the Jacobi algorithm. Bruno Despres

76. On The Condition Number Of Integral Equations In Linear Elasticity Using The Mod
    ANZIAM J. 44 (2003), 431446. On the condition number of integral equationsin linear elasticity using the modified Green's function.  
    http://www.austms.org.au/Publ/ANZIAM/V44P3/1788.html
    
    Extractions: Abstract In this work the modified Green's function technique for an exterior Dirichlet and Neumann problem in linear elasticity is investigated. We introduce a modification of the fundamental solution in order to remove the lack of uniqueness for the solution of the boundary integral equations describing the problems, and to simultaneously minimise their condition number. In view of this procedure the cases of the sphere and perturbations of the sphere are examined. Numerical results that demonstrate the effect of increasing the number of coefficients in the modification on the optimal condition number are also presented.

77. Integral Equations
    integral equations Pachpatte, BG, Bounds on Certain Integral Inequalities,Volume 3, Issue 3, Article 47, 2002. 012_02. Editors.  
    http://jipam.vu.edu.au/keywords/Integral_equations.htm

78. BOUNDARY INTEGRAL EQUATIONS FOR MODELING ARBITRARY FLAW GEOMETRIES IN ELECTRIC C
    Living State Physics Vanderbilt University Boundary integral equations for ModelingArbitrary Flaw Geometries in Electric Current Injection NDE AP Ewing, C  
    http://www.vanderbilt.edu/lsp/abstracts/ewing-rpqnde-1011-1998.htm
    
    Extractions: Review of Progress in Quantitative Nondestructive Evaluation, Vol 17A, pp 1011-1015, 1998 Several 2-D analytical solutions have been derived to simulate the magnetic field produced by a flaw in a conductor for direct current injection [2][3][4]. Scans of standard flaw specimens have validated these models experimentally. However, these solutions are limited to only a few problems with very simple geometries. This paper presents a boundary integral equation (BIE) formulation, which allows arbitrary two-dimensional plate and flaw shapes to be modeled, providing a much greater flexibility to the measurement model. Also, since only l-D boundary elements are required, this approach has a significant computational advantage over finite element methods (FEM) for solving problems that can be regarded as two-dimensional The next section describes the BIE formulation, followed by a sample calculation for a square aluminum plate, and a comparison with the results given by a commercial finite element method software. Also, the procedure needed to simulate a thick conductive plate is described.

79. Integral Equations
    next up previous contents index Next Formal Solutions Up Radiative TransferEquation Previous Stratified Atmosphere integral equations.  
    http://www.ess.uci.edu/~zender/rt/node15.html

80. A Reliable And Efficient Approach To Solving Integral Equations Applicable To Ra
    Q2.06 A Reliable and Efficient Approach to Solving integral equationsApplicable to Radiative Transfer and to Scattering Theory.  
    http://flux.aps.org/meetings/YR97/BAPSPC97/abs/S3000006.html
    
    Extractions: Room 175, Stevenson Eric Steinfelds (Oklahoma State University) The ability to model the angular dependence of the radiation reflected off of a slab of material comprised of scatterers of multifold ( isotropic, dipole ) natures can lead to very rewarding applications in the optical probing of materials (including biological media). This work is based on those principles of analysis of radiative transfer formulated by S. Chandrasekhar. In this paper, the H-functions corresponding to the first two Legendre polynomial contributions to the radiative transfer phase function are systematically analyzed and modelled. These H-functions directly determine the intensities of back reflected and scattered radiation and are obtained by solving the nonlinear Fredholm intergral equations (International Journal of Theoretical Physics (Radiative Transfer Single-Scattering Albedo Estimation...)), Vol 36,4, April 1997 appropriate for the H-functions. The ability to model the angular dependence and intensity of accelerated particles scattered off of a stationary target explicitly as a function the strength of the scattering potential allows for a reliable approximation. This involves the appropriate linear Fredholm equation from which the converging solution is in the essential algorithmic steps. This is in the same train of thought as the Born Approximation.

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