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

Editorial Board Subscription Information Instructions for Authors LINK Helpdesk Last update: 12.07.2001

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

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: Bibliographic Data Integr. equ. oper. theory ISSN 0378-620X First published in 1978 3 volumes per year, 4 issues per volume Format: 17 x 24 cm Back volumes are available e-mail: subscriptions@birkhauser.ch LINK Helpdesk Last update: 12.07.2001

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

Next: Molecular liquids Up: Integral equations for polymer Previous: The radial distribution function The Ornstein-Zernike equation and integral equations 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 The total correlation at is the sum of a direct correlation plus an indirect contribution coming from all surrounding points: the surplus induced at causes an effect at (see Fig. ( )). Notice that Eq. ( ) is nothing more but a definition of the total correlation function. Figure 2.2: Contributions to the total correlation function. A simple relation exists between S k ) and the Fourier transform of c r ). Fourier transforming Eq. ( ) we get S k Fourier transforms are defined by We have introduced the direct correlation function such that it is a short range function. Writing we see that g r ) equals y r ) outside the range of the potential. In order to obtain a short ranged function to approximate c r ), we try

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

Volumen 19 Constructive error analysis for linear differential and integral equations D. M. C LAUDIO OBNER 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

MA5045S Integral Equations - 2002/3 Module Detail Department: Mathematical Sciences Level: Credits: Lead Tutor: Dr Simon Chandler-Wilde Scheme: Brunel University Degree Scheme Location/s: Uxbridge Campus Description: AIMS: To introduce students to the mathematics of integral equations, techniques of analysing integral equations, and methods of solving them, analytically or numerically. OBJECTIVES: 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

Prof. Dr. Wolfgang Hackbusch: Integral Equations Theory and Numerical Treatment International Series of Numerical Mathematics (ISNM), Vol. 120. ISBN 3-7643-2871-1 (Basel...) 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. From the Preface Contents Index Originally published in German under the title Integralgleichungen. Theorie und Numerik [Hackbusch-Homepage] Integral Equations Theory and Numerical Treatment From the Preface 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

International Journal of Engineering Science (in press) 2003 Integral Equations with Hypersingular Kernels Theory and Applications to Fracture Mechanics Youn-Sha Chan and Albert C. Fannjiang Department of Mathematics and Graduate Group in Applied Mathematics, University of California, Davis, CA 95616-5294, U.S.A. Glaucio H. Paulino, Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Newmark Laboratroy, 205 North Mathews Avenue, IL 61801, U.S.A. Abstract 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/

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 Login Create account Alerts Contact us ... Display by journal Inverse Problems (April 2003) 411-418 Solving an inverse problem for Urison-type integral equations using Banach's fixed point theorem H Kunze and S Gomes Department of Mathematics and Statistics, University of Guelph, Guelph, ON, N1G 2W1, Canada Received 29 August 2002, in final form 12 February 2003

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

Return to... Return to Book Image Return to Main Page Stochastic Integral Equations and Rainfall - Runoff Models Introduction 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

Numerical Integral Equations An Euler-type method for two-dimensional Volterra integral equations of the first kind. S. McKee, T. Tang, and T. Diogo ..... IMA J. Numer. Anal. 20 (2000), pp. 423-440. Collocation methods for second-kind Volterra integral equations with weakly singular kernels. T. Diogo, S. McKee, and Tao Tang ..... Proc. Royal Soc. Edinburgh, 124A (1994) pp. 199-210. A finite difference scheme for partial integro-differential equations with weakly singular kernel. T. Tang ..... Appl. Numer. Math. 11 (1993), 309-319. Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations. T. Tang ..... Numer. Math. 61 (1992), 373-382. A Hermite-type Collocation Method for the Solution of an Integral Equation with a Certain Weakly Singular Kernel. T. Diogo, S. McKee and T. Tang ..... IMA Journal of Numerical Analysis, 11 (1991), 595-605. The numerical analysis of implicit Runge-Kutta methods for a certain nonlinear integro-differential equation. W. Yuan and T. Tang ..... Math. Comp. 54 (1990), pp. 155-168. Polynomial spline collocation methods for the nonlinear basset equation.

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

Revised and Expanded ABDUL J. JERRI Clarkson University Wiley Publishers San Diego New York Chicago 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

45-XX Integral equations 45-00 General reference works (handbooks, dictionaries, bibliographies, etc.) 45-01 Instructional exposition (textbooks, tutorial papers, etc.) 45-02 Research exposition (monographs, survey articles) 45-03 Historical (must be assigned at least one classification number from 01-XX 45-04 Explicit machine computation and programs (not the theory of computation or programming) 45-06 Proceedings, conferences, collections, etc. 45A05 Linear integral equations 45B05 Fredholm integral equations 45Exx Singular integral equations 44-XX 45Fxx Systems of linear integral equations 45Gxx Nonlinear integral equations 45J05 Integro-ordinary differential equations 45K05 Integro-partial differential equations 45Lxx Approximation of solutions 45Mxx Qualitative behavior 45N05 Abstract integral equations, integral equations in abstract spaces Top level of Index

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

Convergence Estimates For Solution Of Integral Equations With GMRES ABSTRACT JOURNAL Journal of Integral Equations and Applications Vol 8, 1996, pp. 19-34. CO-AUTHORS S. L. Campbell slc@math.ncsu.edu I. C. F. Ipsen ipsen@math.ncsu.edu ... meyer@math.ncsu.edu Z. Q. Xue xue@lafite.math.ncsu.edu All authors are members of the Department of Mathematics Numerical Analysis Group North Carolina State University Raleigh, NC 27695 THE POSTSCRIPT FILE The postscript file (uncompressed) for the entire paper is 176 KB. To receive it, click on IntegralEquationsGmres.ps Return To Home Page Return To Abstracts

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

Friday, June 5 Quadratic Functionals and Integral Equations for Harmonic Wave Equations in Exterior Domains 8:00 AM-8:45 AM Chair: Graeme Fairweather, Colorado School of Mines 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 DCSA/MLS, CEA-CELV, France

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

ANZIAM J. On the condition number of integral equations in linear elasticity using the modified Green's function E. Argyropoulos Department of Mathematics National Technical University of Athens Zografou Campus 15780 Athens Greece D. Gintides Department of Mathematics National Technical University of Athens Zografou Campus 15780 Athens Greece and K. Kiriaki Department of Mathematics National Technical University of Athens Zografou Campus 15780 Athens Greece kkouli@math.ntua.gr 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. Download the article in PDF format (size 134 Kb) TeXAdel Scientific Publishing Australian MS

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

I ntegral Equations Pachpatte, B.G. Bounds on Certain Integral Inequalities, Volume 3, Issue 3 , Article Editors R.P. Agarwal G. Anastassiou T. Ando H. Araki A.G. Babenko D. Bainov N.S. Barnett H. Bor J. Borwein P.S. Bullen P. Cerone S.H. Cheng L. Debnath S.S. Dragomir N. Elezovic A.M. Fink A. Fiorenza T. Furuta L. Gajek H. Gauchman C. Giordano F. Hansen D. Hinton A. Laforgia L. Leindler C.-K. Li L. Losonczi A. Lupas R. Mathias T. Mills G.V. Milovanovic R.N. Mohapatra B. Mond M.Z. Nashed C.P. Niculescu I. Olkin B. Opic B. Pachpatte Z. Pales C.E.M. Pearce J. Pecaric L.-E. Persson L. Pick I. Pressman S. Puntanen F. Qi A.G. Ramm T.M. Rassias A. Rubinov S. Saitoh J. Sandor S.P. Singh A. Sofo H.M. Srivastava K.B. Stolarsky G.P.H. Styan L. Toth R. Verma F. Zhang School of Communications and Informatics Victoria University of Technology JIPAM is published by the School of Communications and Informatics which is part of the Faculty of Engineering and Science , located in Melbourne, Australia. All correspondence should be directed to the editorial office

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

Living State Physics Vanderbilt University Boundary Integral Equations for Modeling Arbitrary Flaw Geometries in Electric Current Injection NDE A. P. Ewing, C. Hall Barbosa, T. A. Cruse, A. C. Bruno and J. P. Wikswo, Jr. 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

Next: Formal Solutions Up: Radiative Transfer Equation Previous: Stratified Atmosphere Integral Equations Formal Solutions Thermal Radiation In A Stratified Atmosphere Angular Integration Thermal Irradiance ... Flux Transmission Charlie Zender

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

Previous abstract Graphical version Next abstract Session Q2 - Industrial Applications. MIXED session, Wednesday afternoon, August 27 Room 175, Stevenson A Reliable and Efficient Approach to Solving Integral Equations Applicable to Radiative Transfer and to Scattering Theory 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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