Integratal Equation Boundary Value Problem

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Integratal Equation & Boundary Value Problem

Author : M.D.Raisinghania
Publisher : S. Chand Publishing
ISBN 13 : 8121928052
Total Pages : pages
Book Rating : 4.1/5 (219 download)

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Book Synopsis Integratal Equation & Boundary Value Problem by : M.D.Raisinghania

Download or read book Integratal Equation & Boundary Value Problem written by M.D.Raisinghania and published by S. Chand Publishing. This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Strictly according to the latest syllabus of U.G.C.for Degree level students and for various engineering and professional examinations such as GATE, C.S.I.R NET/JRFand SLET etc. For M.A./M.Sc (Mathematics) also.

Integral Equations and Boundary Value Problems

Author : MD Raisinghania
Publisher : S. Chand Publishing
ISBN 13 : 9352838955
Total Pages : pages
Book Rating : 4.3/5 (528 download)

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Book Synopsis Integral Equations and Boundary Value Problems by : MD Raisinghania

Download or read book Integral Equations and Boundary Value Problems written by MD Raisinghania and published by S. Chand Publishing. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The tenth edition of Integral Equations and Boundary Value Problems continues to offer an in-depth presentation of integral equations for the solution of boundary value problems. The book provides a plethora of examples and step-by-step presentation of definitions, proofs of the standard results and theorems which enhance students' problem-solving skills. Solved examples and numerous problems with hints and answers have been carefully chosen, classified in various types and methods, and presented to illustrate the concepts discussed. With the author's vast experience of teaching mathematics, his approach of providing a one-stop solution to the students' problems is engaging which goes a long way for the reader to retain the knowledge gained.

Differential and Integral Equations: Boundary Value Problems and Adjoints

Author : S. Schwabik
Publisher : Springer
ISBN 13 : 9027708029
Total Pages : 252 pages
Book Rating : 4.0/5 (277 download)

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Book Synopsis Differential and Integral Equations: Boundary Value Problems and Adjoints by : S. Schwabik

Download or read book Differential and Integral Equations: Boundary Value Problems and Adjoints written by S. Schwabik and published by Springer. This book was released on 1979-05-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Equations, Boundary Value Problems and Related Problems

Author : Xing Li
Publisher : World Scientific
ISBN 13 : 9814452890
Total Pages : 300 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Integral Equations, Boundary Value Problems and Related Problems by : Xing Li

Download or read book Integral Equations, Boundary Value Problems and Related Problems written by Xing Li and published by World Scientific. This book was released on 2013-03-07 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theories and methods for inverse problems of mathematical physics, Clifford analysis and related problems. Contents:Some Properties of a Kind of Singular Integral Operator for K-Monogenic Function in Clifford Analysis (L P Wang, Z L Xu and Y Y Qiao)Some Results Related with Möbius Transformation in Clifford Analysis (Z X Zhang)The Scattering of SH Wave on the Array of Periodic Cracks in a Piezoelectric Substrate Bonded a Half-Plane of Functionally Graded Materials (J Q Liu, X Li, S Z Dong, X Y Yao and C F Wang)Anti-Plane Problem of Two Collinear Cracks in a Functionally Graded Coating–Substrate Structure (S H Ding and X Li)A Kind of Riemann Boundary Value Problem for Triharmonic Functions in Clifford Analysis (L F Gu)A New Dynamical Systems Method for Nonlinear Operator Equations (X J Luo, F C Li and S H Yang)A Class of Integral Inequality and Application (W S Wang)An Efficient Spectral Boundary Integral Equation Method for the Simulation of Earthquake Rupture Problems (W S Wang and B W Zhang)High-Frequency Asymptotics for the Modified Helmholtz Equation in a Half-Plane (H M Huang)An Inverse Boundary Value Problem Involving Filtration for Elliptic Systems of Equations (Z L Xu and L Yan)Fixed Point Theorems of Contractive Mappings in Extended Cone Metric Spaces (H P Huang and X Li)Positive Solutions of Singular Third-Order Three-Point Boundary Value Problems (B Q Yan and X Liu)Modified Neumann Integral and Asymptotic Behavior in the Half-Space (Y H Zhang, G T Deng and Z Z Wei)Piecewise Tikhonov Regularization Scheme to Reconstruct Discontinuous Density in Computerized Tomography (J Cheng, Y Jiang, K Lin and J W Yan)About the Quaternionic Jacobian Conjecture (H Liu)Interaction Between Antiplane Circular Inclusion and Circular Hole of Piezoelectric Materials (L H Chang and X Li)Convergence of Numerical Algorithm for Coupled Heat and Mass Transfer in Textile Materials (M B Ge, J X Cheng and D H Xu)Haversian Cortical Bone with a Radial Microcrack (X Wang)Spectra of Unitary Integral Operators on L2(ℝ) with Kernels k(xy) (D W Ma and G Chen)The Numerical Simulation of Long-Period Ground Motion on Basin Effects (Y Q Li and X Li)Complete Plane Strain Problem of a One-Dimensional Hexagonal Quasicrystals with a Doubly-Periodic Set of Cracks (X Li and P P Shi)The Problem About an Elliptic Hole with III Asymmetry Cracks in One-Dimensional Hexagonal Piezoelectric Quasicrystals (H S Huo and X Li)The Second Fundamental Problem of Periodic Plane Elasticity of a One-Dimensional Hexagonal Quasicrystals (J Y Cui, P P Shi and X Li)The Optimal Convex Combination Bounds for the Centroidal Mean (H Liu and X J Meng)The Method of Fundamental Solution for a Class of Elliptical Partial Differential Equations with Coordinate Transformation and Image Technique (L N Wu and Q Jiang)Various Wavelet Methods for Solving Fractional Fredholm–Volterra Integral Equations (P P Shi, X Li and X Li) Readership: Researchers in analysis and differential equations. Keywords:Integral Equations;Boundary Value ProblemsKey Features:Provides new research progress on these topics

Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems

Author : D. B. Ingham
Publisher : Springer
ISBN 13 : 9783540136460
Total Pages : 0 pages
Book Rating : 4.1/5 (364 download)

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Book Synopsis Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems by : D. B. Ingham

Download or read book Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems written by D. B. Ingham and published by Springer. This book was released on 1984-08-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques. In the last decade there has been a rapid increase in the application of integral equation techniques for the numerical solution of such problems [1,2,3]. One such method is the boundary integral equation method (BIE) which is based on Green's Formula [4] and enables one to reformulate certain BVP as integral equations. The reformulation has the effect of reducing the dimension of the problem by one. Because discretisation occurs only on the boundary in the BIE the system of equations generated by a BIE is considerably smaller than that generated by an equivalent finite difference (FD) or finite element (FE) approximation [5]. Application of the BIE in the field of fluid mechanics has in the past been limited almost entirely to the solution of harmonic problems concerning potential flows around selected geometries [3,6,7]. Little work seems to have been done on direct integral equation solution of viscous flow problems. Coleman [8] solves the biharmonic equation describing slow flow between two semi infinite parallel plates using a complex variable approach but does not consider the effects of singularities arising in the solution domain. Since the vorticity at any singularity becomes unbounded then the methods presented in [8] cannot achieve accurate results throughout the entire flow field.

Boundary Value Problems

Author : F. D. Gakhov
Publisher : Courier Corporation
ISBN 13 : 9780486662756
Total Pages : 596 pages
Book Rating : 4.6/5 (627 download)

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Book Synopsis Boundary Value Problems by : F. D. Gakhov

Download or read book Boundary Value Problems written by F. D. Gakhov and published by Courier Corporation. This book was released on 1990-01-01 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brilliant monograph, directed to graduate and advanced-undergraduate students, on the theory of boundary value problems for analytic functions and its applications to the solution of singular integral equations with Cauchy and Hilbert kernels. With exercises.

Boundary Integral Equations

Author : George C. Hsiao
Publisher : Springer Nature
ISBN 13 : 3030711277
Total Pages : 783 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Boundary Integral Equations by : George C. Hsiao

Download or read book Boundary Integral Equations written by George C. Hsiao and published by Springer Nature. This book was released on 2021-03-26 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the book which has two additional new chapters on Maxwell’s equations as well as a section on properties of solution spaces of Maxwell’s equations and their trace spaces. These two new chapters, which summarize the most up-to-date results in the literature for the Maxwell’s equations, are sufficient enough to serve as a self-contained introductory book on the modern mathematical theory of boundary integral equations in electromagnetics. The book now contains 12 chapters and is divided into two parts. The first six chapters present modern mathematical theory of boundary integral equations that arise in fundamental problems in continuum mechanics and electromagnetics based on the approach of variational formulations of the equations. The second six chapters present an introduction to basic classical theory of the pseudo-differential operators. The aforementioned corresponding boundary integral operators can now be recast as pseudo-differential operators. These serve as concrete examples that illustrate the basic ideas of how one may apply the theory of pseudo-differential operators and their calculus to obtain additional properties for the corresponding boundary integral operators. These two different approaches are complementary to each other. Both serve as the mathematical foundation of the boundary element methods, which have become extremely popular and efficient computational tools for boundary problems in applications. This book contains a wide spectrum of boundary integral equations arising in fundamental problems in continuum mechanics and electromagnetics. The book is a major scholarly contribution to the modern approaches of boundary integral equations, and should be accessible and useful to a large community of advanced graduate students and researchers in mathematics, physics, and engineering.

Integral Equations And Boundary Value Problems - Proceedings Of The International Conference

Author : Guo Chun Wen
Publisher : #N/A
ISBN 13 : 9814569534
Total Pages : 304 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Integral Equations And Boundary Value Problems - Proceedings Of The International Conference by : Guo Chun Wen

Download or read book Integral Equations And Boundary Value Problems - Proceedings Of The International Conference written by Guo Chun Wen and published by #N/A. This book was released on 1991-03-15 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings covers the following topics: Boundary value problems of partial differential equations including free boundary problems; Theory and methods of integral equations including singular integral equations; Applications of integral equations and boundary value problems to mechanics and physics; and numerical methods for integral equations and boundary value problems.

Lectures on Differential and Integral Equations

Author : K?saku Yoshida
Publisher : Courier Corporation
ISBN 13 : 9780486666792
Total Pages : 242 pages
Book Rating : 4.6/5 (667 download)

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Book Synopsis Lectures on Differential and Integral Equations by : K?saku Yoshida

Download or read book Lectures on Differential and Integral Equations written by K?saku Yoshida and published by Courier Corporation. This book was released on 1991-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lucid, self-contained exposition of theory of ordinary differential equations and integral equations. Boundary value problem of second order linear ordinary differential equations, Fredholm integral equations, many other topics. Bibliography. 1960 edition.

Boundary Integral Equation Methods and Numerical Solutions

Author : Christian Constanda
Publisher : Springer
ISBN 13 : 9783319263076
Total Pages : 0 pages
Book Rating : 4.2/5 (63 download)

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Book Synopsis Boundary Integral Equation Methods and Numerical Solutions by : Christian Constanda

Download or read book Boundary Integral Equation Methods and Numerical Solutions written by Christian Constanda and published by Springer. This book was released on 2016-04-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation. The solutions of these problems are obtained both analytically—by means of direct and indirect boundary integral equation methods (BIEMs)—and numerically, through the application of a boundary element technique. The text discusses the methodology for constructing a BIEM, deriving all the attending mathematical properties with full rigor. The model investigated in the book can serve as a template for the study of any linear elliptic two-dimensional problem with constant coefficients. The representation of the solution in terms of single-layer and double-layer potentials is pivotal in the development of a BIEM, which, in turn, forms the basis for the second part of the book, where approximate solutions are computed with a high degree of accuracy. The book is intended for graduate students and researchers in the fields of boundary integral equation methods, computational mechanics and, more generally, scientists working in the areas of applied mathematics and engineering. Given its detailed presentation of the material, the book can also be used as a text in a specialized graduate course on the applications of the boundary element method to the numerical computation of solutions in a wide variety of problems.

Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The International Conference

Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 981454311X
Total Pages : 338 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The International Conference by : Guo Chun Wen

Download or read book Boundary Value Problems, Integral Equations And Related Problems - Proceedings Of The International Conference written by Guo Chun Wen and published by World Scientific. This book was released on 2000-02-22 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this proceedings volume, the following topics are discussed: (1) various boundary value problems for partial differential equations and functional equations, including free and moving boundary problems; (2) the theory and methods of integral equations and integral operators, including singular integral equations; (3) applications of boundary value problems and integral equations to mechanics and physics; (4) numerical methods of integral equations and boundary value problems; and (5) some problems related with analysis and the foregoing subjects.

Singular Integral Equations

Author : N. I. Muskhelishvili
Publisher : Courier Corporation
ISBN 13 : 0486145069
Total Pages : 466 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Singular Integral Equations by : N. I. Muskhelishvili

Download or read book Singular Integral Equations written by N. I. Muskhelishvili and published by Courier Corporation. This book was released on 2013-02-19 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVHigh-level treatment of one-dimensional singular integral equations covers Holder Condition, Hilbert and Riemann-Hilbert problems, Dirichlet problem, more. 1953 edition. /div

Linear Integral Equations

Author : Ram P. Kanwal
Publisher : Springer Science & Business Media
ISBN 13 : 1461207657
Total Pages : 327 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Linear Integral Equations by : Ram P. Kanwal

Download or read book Linear Integral Equations written by Ram P. Kanwal and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Linear Integral Equations continues the emphasis that the first edition placed on applications. Indeed, many more examples have been added throughout the text. Significant new material has been added in Chapters 6 and 8. For instance, in Chapter 8 we have included the solutions of the Cauchy type integral equations on the real line. Also, there is a section on integral equations with a logarithmic kernel. The bibliography at the end of the book has been exteded and brought up to date. I wish to thank Professor B.K. Sachdeva who has checked the revised man uscript and has suggested many improvements. Last but not least, I am grateful to the editor and staff of Birkhauser for inviting me to prepare this new edition and for their support in preparing it for publication. RamP Kanwal CHAYfERl Introduction 1.1. Definition An integral equation is an equation in which an unknown function appears under one or more integral signs Naturally, in such an equation there can occur other terms as well. For example, for a ~ s ~ b; a :( t :( b, the equations (1.1.1) f(s) = ib K(s, t)g(t)dt, g(s) = f(s) + ib K(s, t)g(t)dt, (1.1.2) g(s) = ib K(s, t)[g(t)fdt, (1.1.3) where the function g(s) is the unknown function and all the other functions are known, are integral equations. These functions may be complex-valued functions of the real variables s and t.

The Fast Solution of Boundary Integral Equations

Author : Sergej Rjasanow
Publisher : Springer Science & Business Media
ISBN 13 : 0387340424
Total Pages : 284 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis The Fast Solution of Boundary Integral Equations by : Sergej Rjasanow

Download or read book The Fast Solution of Boundary Integral Equations written by Sergej Rjasanow and published by Springer Science & Business Media. This book was released on 2007-04-17 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Boundary Value Problems and Integral Equations in Nonsmooth Domains

Author : Martin Costabel
Publisher : CRC Press
ISBN 13 : 9780824793203
Total Pages : 320 pages
Book Rating : 4.7/5 (932 download)

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Book Synopsis Boundary Value Problems and Integral Equations in Nonsmooth Domains by : Martin Costabel

Download or read book Boundary Value Problems and Integral Equations in Nonsmooth Domains written by Martin Costabel and published by CRC Press. This book was released on 1994-10-25 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the International Conference on Boundary Value Problems and lntegral Equations In Nonsmooth Domains held recently in Luminy, France, this work contains strongly interrelated, refereed papers that detail the latest findings in the fields of nonsmooth domains and corner singularities. Two-dimensional polygonal or Lipschitz domains, three-dimensional polyhedral corners and edges, and conical points in any dimension are examined.

Boundary Value Problems, Integral Equations and Related Problems

Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 9814327859
Total Pages : 436 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Boundary Value Problems, Integral Equations and Related Problems by : Guo Chun Wen

Download or read book Boundary Value Problems, Integral Equations and Related Problems written by Guo Chun Wen and published by World Scientific. This book was released on 2011 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral equations and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theory and methods for inverse problems of mathematical physics, Clifford analysis and related problems. Contributors include: L Baratchart, B L Chen, D C Chen, S S Ding, K Q Lan, A Farajzadeh, M G Fei, T Kosztolowicz, A Makin, T Qian, J M Rassias, J Ryan, C-Q Ru, P Schiavone, P Wang, Q S Zhang, X Y Zhang, S Y Du, H Y Gao, X Li, Y Y Qiao, G C Wen, Z T Zhang, etc.

Boundary Value Problems

Author : F. D. Gakhov
Publisher : Elsevier
ISBN 13 : 1483164985
Total Pages : 584 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Boundary Value Problems by : F. D. Gakhov

Download or read book Boundary Value Problems written by F. D. Gakhov and published by Elsevier. This book was released on 2014-07-10 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Value Problems is a translation from the Russian of lectures given at Kazan and Rostov Universities, dealing with the theory of boundary value problems for analytic functions. The emphasis of the book is on the solution of singular integral equations with Cauchy and Hilbert kernels. Although the book treats the theory of boundary value problems, emphasis is on linear problems with one unknown function. The definition of the Cauchy type integral, examples, limiting values, behavior, and its principal value are explained. The Riemann boundary value problem is emphasized in considering the theory of boundary value problems of analytic functions. The book then analyzes the application of the Riemann boundary value problem as applied to singular integral equations with Cauchy kernel. A second fundamental boundary value problem of analytic functions is the Hilbert problem with a Hilbert kernel; the application of the Hilbert problem is also evaluated. The use of Sokhotski's formulas for certain integral analysis is explained and equations with logarithmic kernels and kernels with a weak power singularity are solved. The chapters in the book all end with some historical briefs, to give a background of the problem(s) discussed. The book will be very valuable to mathematicians, students, and professors in advanced mathematics and geometrical functions.