41. Integral Equations Research Publications Beny Neta / Index / back / next. Adaptive Solutionof Fredholm integral equations of the Second Kind (regular Kernels); http://www.math.nps.navy.mil/~bneta/ieq.html

Research Publications - Beny Neta / Index back next Adaptive Solution of Fredholm Integral Equations of the Second Kind (regular Kernels) ... Galerkin Spectral Synthesis Methods for Diffusion Equations with Gneral Boundary Conditions

42. On The Regularization Of Fredholm Integral Equations Of The First Kind On the Regularization of Fredholm integral equations of the First Kind. Key words.integral equations, inverse problems, regularization, information theory. http://epubs.siam.org/sam-bin/dbq/article/30174

SIAM Journal on Mathematical Analysis Volume 29, Number 4 pp. 855-877 On the Regularization of Fredholm Integral Equations of the First Kind Enrico De Micheli, Nicodemo Magnoli, Giovanni Alberto Viano Abstract. In this paper the problem of recovering a regularized solution of the Fredholm integral equations of the first kind with Hermitian and square-integrable kernels, and with data corrupted by additive noise, is considered. Instead of using a variational regularization of Tikhonov type, based on a priori global bounds, we propose a method of truncation of eigenfunction expansions that can be proved to converge asymptotically, in the sense of the L -norm, in the limit of noise vanishing. Here we extend the probabilistic counterpart of this procedure by constructing a probabilistically regularized solution without assuming any structure of order on the sequence of the Fourier coefficients of the data. This probabilistic approach allows us to use the statistical tools proper of time-series analysis, and in this way we attain a new regularizing algorithm, which is illustrated by some numerical examples. Finally, a comparison with solutions obtained by the means of the variational regularization exhibits how some intrinsic limits of the variational-based techniques can be overcome. Key words.

43. Causal Feedback Optimal Control For Volterra Integral Equations 18741890 © 1996 Society for Industrial and Applied Mathematics. Causal FeedbackOptimal Control for Volterra integral equations. AJ Pritchard, Yuncheng You. http://epubs.siam.org/sam-bin/dbq/article/27594

SIAM Journal on Control and Optimization Volume 34, Number 6 pp. 1874-1890 Causal Feedback Optimal Control for Volterra Integral Equations A. J. Pritchard, Yuncheng You Abstract. The optimal control problem for Volterra integral equations with respect to quadratic criteria is studied by a projection causality approach. The work features a synthesis result where the optimal control is implemented via a linear causal feedback in which the feedback operator is determined by solving an independent Fredholm integral operator equation. Key words. Volterra integral equations, linear quadratic control, causal state feedback, Fredholm integral operator equation AMS Subject Classifications PII Retrieve reference links For additional information contact service@siam.org

44. [math-ph/0302055] Hypersingular Integral Equations And Applications To Porous El 123113 GMT (144kb) Hypersingular integral equations and Applicationsto Porous Elastic Materials. Authors G.Iovane, M.Ciarletta http://arxiv.org/abs/math-ph/0302055

Mathematical Physics, abstract math-ph/0302055 Hypersingular Integral Equations and Applications to Porous Elastic Materials Authors: G.Iovane M.Ciarletta Comments: 4 Pages, Proceedings Of Thermal Stress 2003 Subj-class: Mathematical Physics; Numerical Analysis In this paper a treatment of hypersingular integral equations, which have relevant applications in many problems of wave dynamics, elasticity and fluid mechanics with mixed boundary conditions, is presented. The main goal of the present work is the development of an efficient direct numerical collocation method. The second part of the work is devoted to the application of the method to the porous elastic materials. This part deals with classical problem for cracks dislocated in a certain very specific porous elastic material, described by a Cowin-Nunziato model. By applying Fourier integral transform the problem is reduced to some integral equations. For the plane-strain problem we operate with a direct numerical treatment of a hypersingular integral equation. We also study stress-concentration factor, and investigate its behaviour versus porosity of the material. At the end we investigate the possibility to extend the results in the thermoelastic case. Full-text: PDF only Links to: arXiv math-ph find abs

45. Section II - The Integral Equations For Free Space Section II The integral equations For Free Space. The NEC programuses both an electric-field integral equation (EFIE) and a magnetic http://www.nec2.org/part_1/section2.html

Section II - The Integral Equations For Free Space ref. 9 ) although the details of their numerical solution differ from those in NEC. A rigorous derivation of the EFIE and MFIE used in NEC is given by Poggio dnd Hiller ( ref. 10 ). The equations and their derivation are outlined in the following sections. 1. THE ELECTRIC FIELD INTEGRAL EQUATION (EFTE) The form of the EFIE used in NEC follows from an integral representation for the electric field of a volume current distribution Equation(1) where Equation(1a) and the time convention is exp(jwt). is the identity dyad . When the current distribution is limited to the surface of a perfectly conducting body, equation (1) becomes Equation (2) with the surface current density. The observation point is restricted to be off the surface S so that If approaches S as a limit, equation (2) becomes Equation (3) Where the principal value integral, , is indicated since is now unbounded. An integral equation for the current induced on S by an incident field can be obtained from equation (3) and the boundary condition for S

46. Sparse Grids For Boundary Integral Equations - Griebel, Oswald, Schiekofer (Rese Sparse grids for boundary integral equations (1998) (Make Corrections) (11 citations)M. Griebel, P. Oswald, T. Schiekofer Numerische Mathematik Home/Search http://citeseer.nj.nec.com/griebel98sparse.html

Sparse grids for boundary integral equations (1998) (Make Corrections) (11 citations) M. Griebel, P. Oswald, T. Schiekofer Numerische Mathematik Home/Search Context Related View or download: belllabs.com/who/poswald schie.ps.gz belllabs.com/cm/cs/who/p schie.ps.gz Cached: PS.gz PS PDF DjVu ... Help From: belllabs.com/who/poswald/ (more) From: belllabs.com/cm/cs/who/p index Homepages: M.Griebel T.Schiekofer HPSearch (Update Links) Rate this article: (best) Comment on this article (Enter summary) Abstract: this paper. As a particular case, we mention that H (Update) Context of citations to this paper: More order splines [BD97] Generalizations of hyperbolic trigonometric approximation may be found in [D83, D88, G78] Only recently, used the sparse grid approach together with prewavelets for the solution of boundary integral equations of order between Gamma1=2 and approximation interpolation but also together with other multiscale tensor product basis functions, like wavelets or splines of higher order [Bu98] Examples from the literature concerning approximation and interpolation include Cited by: More Classification With Sparse Grids Using Simplicial Basis.. - Garcke, Griebel (2002)

47. Citations: Rapid Solution Of Integral Equations Of Classical Potential Theory - V. Rokhlin, Rapid solution of integral equations of classical potential theory,Journal of Computational Physics, vol. 60, pp. 187207, September 15, 1985. http://citeseer.nj.nec.com/context/101957/0

80 citations found. Retrieving documents... V. Rokhlin. Rapid solution of integral equations of classical potential theory . Journal of Computational Physics, Vol. 60:187-207, 1985. Home/Search Document Not in Database Summary Related Articles Check This paper is cited in the following contexts: First 50 documents Next 50 A Solenoidal Basis Method For Efficient Inductance - Extraction Hemant Mahawar (Correct) ....matrices. A number of techniques have been developed to exploit the rapid decay of the kernel in (2) and (6) with distance to compute ap proximate matrix vector products in O(nlog n) or O(n) operations. These include hierarchical techniques such as Barnes Hut [1] and Fast Multipole Method (FMM) which use a truncated series approximation of filament currents within a localized region to estimate impact on well separated sets of filaments. The method of Barnes and Hut relies only on filament cluster interactions to achieve an O(nlogn) computational bound for uniform filament .... V. Rokhlin. Rapid solution of integral equations of classical potential theory . Journal of Computational Physics, Vol. 60:187-207, 1985.

48. Integral Equation Book Shop Boundary integral equations for Anisotropic Heat Conduction by E.Divoand A.Kassab (2000) AZ, BN, AZUK ?, BS ?. Introduction to http://www.science-books.net/inteq.htm

Integral Equation Book Shop by science-books.net The web page links in with an internet book shops (Amazon (AZ), Book Shop (BS) (UK) Amazon UK (AZUK) or Barnes Noble (BN)) and allows the direct purchase of selected books. Prices are given where available. Simply Click on AZ, BN, AZUK or BS to find further information or purchase the book. Boundary Integral Equations for Anisotropic Heat Conduction by E.Divo and A.Kassab (2000) AZ BN AZUK ? BS ? Introduction to Integral Equations with Applications by A.J.Jerri (1999) AZ BN AZUK BS Linear Integral Systems by R.Kress et al (1999) AZ BN AZUK BS Strongly Elliptic Systems and Boundary Integral Equations by W.McLean (1998) AZ BN AZUK BS Handbook of Integral Equations by A.D.Polyanin (1998) AZ BN AZUK BS Advances in Dual Integral Equations by B.N.Mandal (1998) AZ BN AZUK BS Linear Integral Equations by R.P.Kanwal (1996) AZ BN AZUK BS Differential and Integral Equations by V.K.Dzyadyk (1995) AZ BN AZUK BS Boundary Value Problems and Integral Equations in Nonsmooth Domains by M.Costabel et al (1995)

49. Lectures On Differential And Integral Equations Click to enlage Lectures on Differential and integral equations Other topics includeFredholm integral equations, Volterra integral equations, much more. http://store.doverpublications.com/0486666794.html

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50. Integral Equations Click to enlage integral equations FG Tricomi. Our Price, $8.95. AvailabilityIn Stock. (Usually ships in 24 to 48 hours). Format Book. ISBN 0486648281. http://store.doverpublications.com/0486648281.html

American History, American...... American Indians Anthropology, Folklore, My...... Antiques Architecture Art Astronomy Biology and Medicine Bridge and Other Card Game...... Chemistry Chess Children Consumer Catalogs Cookbooks, Nutrition Crafts Detective Stories, Science...... Dover Phoenix Editions Earth Science Engineering Ethnic Interest Features Science Gift Certificates Gift Ideas Giftpack History, Political Science...... Holidays Humor Languages And Linguistics Literature Magic, Legerdemain Mathematics Military History, Weapons ...... Music Nature Performing Arts, Drama, Fi...... Philosophy And Religion Photography Physics Psychology Puzzles, Amusement, Recrea...... Reference Specialty Stores Sports, Out-of-door Activi...... Science and Mathematics Stationery, Gift Sets Summer Fun Shop Travel and Adventure Women's Studies By Subject Science and Mathematics Mathematics Differential and Integral Equations Integral Equations F. G. Tricomi Our Price (Table of Contents) Availability: In Stock (Usually ships in 24 to 48 hours) Format: Book ISBN: Page Count: Dimensions: 5 3/8 x 8 1/2 Authoritative, well-written basic treatment of extremely useful mathematical tool. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, Types of Singular or Nonlinear Integral Equations, more. Advanced undergraduate to graduate level. Exercises. Bibliography.

51. 45-XX 45XX integral equations. 45A05 Linear integral equations; 45B05 Fredholm integralequations; 45C05 Eigenvalue problems See also 34Lxx, 35Pxx, 45P05, 47A75; http://www.ams.org/mathweb/msc1991/45-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 Section 01) 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 45C05 Eigenvalue problems [See also 45D05 Volterra integral equations [See also Singular integral equations [See also 30E20, 30E25, 44A15, 44A35] Systems of linear integral equations Nonlinear integral equations [See also 47H15] 45H05 Miscellaneous special kernels [See also 45J05 Integro-ordinary differential equations 45K05 Integro-partial differential equations Approximation of solutions Qualitative behavior 45N05 Abstract integral equations, integral equations in abstract spaces 45P05 Integral operators [See also Top level of Index

52. Integral Equations next up previous Next Solution techniques Up The use of integral Previous Introduction.integral equations. Figure 1 Geometry for the integral equations. http://www.mee.tcd.ie/mobile_radio/HF/node2.html

Next: Solution techniques Up: The use of integral Previous: Introduction Integral equations To solve an electromagnetic scattering problem using an integral equation we must first formulate the equation for the unknown surface current. Assuming an homogeneous medium, the total field is conceptually split into two components, the incident field (which is defined as the field that would exist were the scatterer not there) and the scattered field which is the field due to the presence of the scatterer. So, with this formulation E E i E s H H i H s where E i H i ) is the incident electric (magnetic) field , E s H s ) is the scattered electric (magnetic) field and E H the total electric (magnetic) field. The scattered fields are then written as standard radiation integrals in terms of the unknown surface current radiating in free space. The presence of the free-space Green's function in these integrals means that the resultant fields satisfy the radiation condition at infinity, abolishing the need for the absorbing boundary conditions of finite difference schemes. Enforcing the appropriate boundary conditions on the surface of the scatterer then gives us an integral equation for the problem. For a perfectly conducting surface we enforce the condition of vanishing tangential electric field to give us the Electric Field Integral Equation (EFIE),valid for both open and closed scattering surfaces. Enforcing the condition that the induced surface current equals the tangential component of the magnetic field gives us the Magnetic Field Integral Equation (MFIE), valid for closed scattering surfaces only. For

53. INFOGRAPHY About Wavelet Methods For Solving Integral Equations Superlative sources selected by a professor who specializes in the studyof wavelet methods for solving integral equations. THE INFOGRAPHY, http://www.infography.com/content/472986626193.html

T HE I NFOGRAPHY Wavelet Methods for Solving Integral Equations Sources recommended by a professor who specializes in the study of wavelet methods for solving integral equations. Six Superlative Sources B.K. Alpert, A class of bases in L^2 for the sparse representatiion of integral operators, SIAM J. Math. Anal., 24 (1993), 246-262. G. Beylkin, R. Coifman, and V. Rokhlin, Fast wavelet transforms and numerical algorithms I, Comm. Pure and Appl. Math., 44 (1991), 14-183. W. Dahmen, S. Proessdorf, and R. Schneider, Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast algorithms, Adv. Comput. Math., 1 (1993), 259-335. C.A. Micchelli, Y. Xu, and Y. Zhao, Wavelet Galerkin methods for second-kind integral equations, J. Comput. Appl. Math., 86 (1997), 251-270. A. Rathsfeld, A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries, J. Int. Equations Appl., 7 (1994), 47-98. T. von Petersdorf, and C. Schwab, Wavelet approximations for first kind boundary integral equations on polygons, Numer. Math. 74 (1996), 479-519. Other Excellent Sources B. Alpert, G. Beylkin, R. Coifman, and V. Roklin, Waveletlike bases for the fast solution of second-kind integral equations, SIAM J. Sci. Statist. Comput., 14 (1993), 159-184.

54. The Panel Clustering Algorithm For Integral Equations researchproject. The Panel Clustering Algorithm for integral equations. integralequations, panel clustering, BEM, fast matrixvector multiplication. Contacts. http://www.research-projects.unizh.ch/math/unit71000/area498/p1710.htm

research project The Panel Clustering Algorithm for Integral Equations Discretisations of integral equations typically lead to large, fully populated systems of linear equations (dimension n=10 ). The cost of assembling and storing the system matrix is proportional to n . With the panel clustering method, these costs can be reduced to the magnitude n. Structuring, error analysis and efficient implementation are subject to the current research. Publications Bibliography Index Terms integral equations, panel clustering, BEM, fast matrix-vector multiplication Contacts Prof.Dr. S. Sauter (Project Leader) stas@amath.unizh.ch Dipl.Math. N. Krzebek krzebek@amath.unizh.ch In Collaboration With W. Hackbusch Max-Planck-Institute for Mathematics in the Sciences (MIS) D-04103 Leipzig wh@mis.mpg.de Germany C.Schwab Seminar fŸr Angewandte Mathematik ETH Zentrum CH-8092 ZŸrich schwab@sam.math.ethz.ch Switzerland Last Update Responsible Professor or Research Area Leader: Prof. Dr. Stefan Sauter Institute or Clinic: Angewandte Mathematik Faculty: Use the Eurospider retrieval system to find similar projects Use the Eurospider retrieval system to search the research report For authorized person(s) only Comments to uni research page generation 06.03.2003

55. NUMPAC Guide Page Top/. I .. Differential and integral equations. Subclasses. I1 ..Ordinarydifferential equations (ODE's)(4) I2 ..Partial http://netnumpac.fuis.fukui-u.ac.jp/cgi-bin/numpac/search-e?I

56. Livre Integral Equations In Everyday Practice, Ouvrages Generaux, Edition Lavois Translate this page 42.69 € 280.03 FF Ajouter au panier. integral equations in everyday practice.Auteur(s) GUY J., SALES A. Date de parution 06-1991 Langue FRANÇAIS 330p. http://www.lavoisier.fr/notice/fr2877772700.html

Chercher sur Tous les supports Les Livres Les CD-Rom Les Logiciels 280.03 FF Integral equations in everyday practice Auteur(s) : GUY J., SALES A. Date de parution: 06-1991 Commentaire Cet ouvrage entièrement en langue anglaise est destiné à faciliter la résolution numérique des équations intégrales. L'efficacité pratique des méthodes proposées est toujours testée sur des exemples détaillés, destinés à servir de modèles pour atteindre les solutions de problèmes extrêmement variés. Des exercices non résolus (mais avec indication des réponses) sont en outre proposés à la fin de chaque chapitre. Equations of Volterra, of the second kind. First studies on one-dimensional fredholm equations of thre second kind. Further studies on fredholm equations of the second kind. Volterra equations of the first kind. Fredholm equations of the first kind. Symmetry point groups and fredholm equations. Key rules for several non-linear problems. Nouvelle recherche Voir le panier Information E-books Services Client Ouvrir un compte client Commande hors catalogue Suivi de commande Aide Lavoisier.fr Conditions de vente Sites partenaires Lavoisier recrute Nous contacter ... Distances et savoirs Vol.1 N° 1/2003

57. ECS EPrints Database - Singular Integral Equations And Mixed Boundary By Value O ECS Home EPrints Home Browse EPrints Search EPrints Help Singular IntegralEquations and Mixed Boundary by Value of Problems of Harmonic Functions. http://eprints.ecs.soton.ac.uk/archive/00001430/

Electronics and Computer Science EPrints Service ECS Home EPrints Home Browse EPrints Search EPrints ... Help Singular Integral Equations and Mixed Boundary by Value of Problems of Harmonic Functions Thomas, K S (1982) Singular Integral Equations and Mixed Boundary by Value of Problems of Harmonic Functions. In Proceedings In Tratment of Integral by Numerical Methods Full text of this item is not available. Authors: K S Thomas [ publications contact info Research Group: High Performance Computing Research Group Deposited On: 03 November 1999 by Gutteridge, Christopher ISBN: ID Code: Old DB key: Performance Indicator: EZ~01~01~04 ECS Home EPrints Home Browse EPrints Search EPrints ... Help

58. ECS EPrints Database - Collocation Points For Singular Integral Equations Collocation Points for Singular integral equations. Thomas, KS (1984)Collocation Points for Singular integral equations. In Proceedings http://eprints.ecs.soton.ac.uk/archive/00001431/

Electronics and Computer Science EPrints Service ECS Home EPrints Home Browse EPrints Search EPrints ... Help Collocation Points for Singular Integral Equations Thomas, K S (1984) Collocation Points for Singular Integral Equations. In Proceedings In Numerical Solution of Singular Integral Equations Full text of this item is not available. Authors: K S Thomas [ publications contact info Research Group: High Performance Computing Research Group Deposited On: 03 November 1999 by Gutteridge, Christopher ID Code: Old DB key: Performance Indicator: EZ~01~01~04 ECS Home EPrints Home Browse EPrints Search EPrints ... Help

59. Volterra-Stieltjes Integral Equations VolterraStieltjes integral equations. WJ Trjitzinsky, Singular Lebesgue-Stieltjesintegral equations, Acta Math., 74 (1941), 197-310. http://rgmia.vu.edu.au/Volterra_Stieltjes_equ.htm

Volterra-Stieltjes Integral Equations W. J. Trjitzinsky , Singular Lebesgue-Stieltjes integral equations, Acta Math., F. G. Dressel , Solutions of bounded variation of the Volterra-Stieltjes integral equation, Univ. Nac. Tucumán. Revista A F. Yagi , On certain Stieltjes integral equations, Univ. Washington Publ. Math T. H. Hildebrandt , On systems of linear differentio-Stieltjes-integral equations, Illinois J. Math R.H. Martin Jr ., A bound for solutions of Volterra-Stieltjes integral equations, Proc. Amer. Math. Soc. D.L. Lovelady , Bounded solutions of Stieltjes integral equations, Proc. Amer. Math. Soc G.W. Marrah and T. G. Proctor , Solutions of some periodic Stieltjes integral equations, Proc. Amer. Math. Soc. S. Schwabik , On Fredholm-Stieltjes integral equations, Comment. Math. Univ. Carolinae L. Barbanti , Linear Volterra-Stieltjes integral equations and control, Equadiff (Würzburg, 1982), 67-72, Lecture Notes in Math ., 1017, Springer, Berlin-New York, 1983. M.A. Freedman

60. Preconditioning Boundary Integral Equations With Calderon Formulas Preconditioning Boundary integral equations with Calderon Formulas SnorreChristiansen. We consider the problem of solving numerically http://www.inria.fr/actualites/colloques/2003/pnla/snore.html

Preconditioning Boundary Integral Equations with Calderon Formulas Snorre Christiansen We consider the problem of solving numerically acoustic and electromagnetic time-harmonic scattering problems, by the boundary integral equation method. The Galerkin method with (scalar or vector) surface finite elements leads to ill-conditioned linear systems of equations. In order to enhance the convergence of iterative solvers we propose and study preconditioners based on Calderon formulas, which link the involved integral operators. In electromagnetism discrete analogues of the Helmholtz decomposition of tangent fields are also used to construct stable discretizations of the operators

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