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Author : Stanisław Lewanowicz
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (461 download)
Download or read book On the numerical solution of the generalized Abel integral equation written by Stanisław Lewanowicz and published by . This book was released on 1988 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rudolf Gorenflo
Publisher : Springer
ISBN 13 : 3540469494
Total Pages : 225 pages
Book Rating : 4.5/5 (44 download)
Download or read book Abel Integral Equations written by Rudolf Gorenflo and published by Springer. This book was released on 2006-11-14 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical models and methods. The intention of this book is to stimulate this flow of information. In the first three chapters (accessible to third year students of mathematics and physics and to mathematically interested engineers) applications of Abel integral equations are surveyed broadly including determination of potentials, stereology, seismic travel times, spectroscopy, optical fibres. In subsequent chapters (requiring some background in functional analysis) mapping properties of Abel integral operators and their relation to other integral transforms in various function spaces are investi- gated, questions of existence and uniqueness of solutions of linear and nonlinear Abel integral equations are treated, and for equations of the first kind problems of ill-posedness are discussed. Finally, some numerical methods are described. In the theoretical parts, emphasis is put on the aspects relevant to applications.
Author : Herman J. J. te Riele
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (256 download)
Download or read book A Comparative Survey of Numerical Methods for the Linear Generalized Abel Integral Equation written by Herman J. J. te Riele and published by . This book was released on 1983 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael A. Golberg
Publisher : Springer Science & Business Media
ISBN 13 : 1489925937
Total Pages : 428 pages
Book Rating : 4.4/5 (899 download)
Download or read book Numerical Solution of Integral Equations written by Michael A. Golberg and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1979, I edited Volume 18 in this series: Solution Methods for Integral Equations: Theory and Applications. Since that time, there has been an explosive growth in all aspects of the numerical solution of integral equations. By my estimate over 2000 papers on this subject have been published in the last decade, and more than 60 books on theory and applications have appeared. In particular, as can be seen in many of the chapters in this book, integral equation techniques are playing an increas ingly important role in the solution of many scientific and engineering problems. For instance, the boundary element method discussed by Atkinson in Chapter 1 is becoming an equal partner with finite element and finite difference techniques for solving many types of partial differential equations. Obviously, in one volume it would be impossible to present a complete picture of what has taken place in this area during the past ten years. Consequently, we have chosen a number of subjects in which significant advances have been made that we feel have not been covered in depth in other books. For instance, ten years ago the theory of the numerical solution of Cauchy singular equations was in its infancy. Today, as shown by Golberg and Elliott in Chapters 5 and 6, the theory of polynomial approximations is essentially complete, although many details of practical implementation remain to be worked out.
Author : J. A. Tenreiro Machado
Publisher : Springer Nature
ISBN 13 : 3030371417
Total Pages : 231 pages
Book Rating : 4.0/5 (33 download)
Download or read book Numerical Solutions of Realistic Nonlinear Phenomena written by J. A. Tenreiro Machado and published by Springer Nature. This book was released on 2020-02-19 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling.
Author : Kendall E. Atkinson
Publisher : Cambridge University Press
ISBN 13 : 0521583918
Total Pages : 572 pages
Book Rating : 4.5/5 (215 download)
Download or read book The Numerical Solution of Integral Equations of the Second Kind written by Kendall E. Atkinson and published by Cambridge University Press. This book was released on 1997-06-28 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an extensive introduction to the numerical solution of a large class of integral equations.
Author : Kuo-Tong Thau
Publisher :
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.:/5 (231 download)
Download or read book A Numerical Solution of Abel's Integral Equation in Terms of Fresnel Integrals written by Kuo-Tong Thau and published by . This book was released on 1990 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harendra Singh
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.7/5 (437 download)
Download or read book Singular Integral Equations written by Harendra Singh and published by . This book was released on 2021-04-24 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many interesting problems of engineering, mechanics, statistics, physics, elasticity, potential theory, plasticity, fluid dynamics, population dynamics, and aero dynamics can be solved by defining in terms of singular integral equations. Singular integral equations have very unusual properties.This book is to explore the basic concepts of singular integral equation (Abel's integral equation, generalized Abel's integral equation, weakly singular (Abel's type) integral equation of second kind and weakly singular (generalized Abel's type) integral equation of second kind in a simple, systematic and easy-to-understand manner. The present book is divided into five chapters.Chapter 1 contains the definition and examples of integral equation, Volterra integral equation, Fredholm integral equation, singular integral equation with Laplace and inverse Laplace transforms. Chapter 2 deals the solution of Abel's integral equation using Laplace transforms with numerical problems. Chapter 3 discusses the solution of generalized Abel's integral equation using Laplace transforms with numerical problems. Chapter 4 discusses the solution of weakly singular (Abel's type) integral equation of second kind using Laplace transforms with numerical problems.Chapter 5 discusses the solution of weakly singular (generalized Abel's type) integral equation of second kind using Laplace transforms with numerical problems.
Author : Bo Einarsson
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.E/5 ( download)
Download or read book Numerical Solution of Abel's Integral Equation with Spline Functions (Numerisk Lösning Av Abels Integralekvation Med Ri-funktioner) written by Bo Einarsson and published by . This book was released on 1971 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Abdul-Majid Wazwaz
Publisher : Springer Science & Business Media
ISBN 13 : 3642214495
Total Pages : 639 pages
Book Rating : 4.6/5 (422 download)
Download or read book Linear and Nonlinear Integral Equations written by Abdul-Majid Wazwaz and published by Springer Science & Business Media. This book was released on 2011-11-24 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.
Author : Abdul-Majid Wazwaz
Publisher : World Scientific
ISBN 13 : 9789810231019
Total Pages : 228 pages
Book Rating : 4.2/5 (31 download)
Download or read book A First Course in Integral Equations written by Abdul-Majid Wazwaz and published by World Scientific. This book was released on 1997 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the subject of integral equations in an accessible manner for a variety of applications. Emphasis is placed on understanding the subject while avoiding the abstract and compact theorems. A distinctive feature of the book is that it introduces the recent powerful and reliable developments in this field, which are not covered in traditional texts. The newly developed decomposition method, the series solution method and the direct computation method are thoroughly implemented, which allows the topic to be far more accessible. The book also includes some of the traditional techniques for comparison.Using the newly developed methods, the author successfully handles Fredholm and Volterra integral equations, singular integral equations, integro-differential equations and nonlinear integral equations, with promising results for linear and nonlinear models. Many examples are given to introduce the material in a clear and thorough fashion. In addition, many exercises are provided to build confidence, ease and skill in using the new methods.This book may be used as a text for advanced undergraduates and graduate students in mathematics and scientific areas, and as a work of reference for research study of differential equations and numerical analysis.
Author : Wolfgang Hackbusch
Publisher : Birkhäuser
ISBN 13 : 3034892152
Total Pages : 377 pages
Book Rating : 4.0/5 (348 download)
Download or read book Integral Equations written by Wolfgang Hackbusch and published by Birkhäuser. This book was released on 2012-12-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations.
Author : Peter Linz
Publisher : SIAM
ISBN 13 : 9781611970852
Total Pages : 240 pages
Book Rating : 4.9/5 (78 download)
Download or read book Analytical and Numerical Methods for Volterra Equations written by Peter Linz and published by SIAM. This book was released on 1985-01-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an aspect of activity in integral equations methods for the solution of Volterra equations for those who need to solve real-world problems. Since there are few known analytical methods leading to closed-form solutions, the emphasis is on numerical techniques. The major points of the analytical methods used to study the properties of the solution are presented in the first part of the book. These techniques are important for gaining insight into the qualitative behavior of the solutions and for designing effective numerical methods. The second part of the book is devoted entirely to numerical methods. The author has chosen the simplest possible setting for the discussion, the space of real functions of real variables. The text is supplemented by examples and exercises.
Author : Kusum Deep
Publisher : Springer
ISBN 13 : 9811308721
Total Pages : 250 pages
Book Rating : 4.8/5 (113 download)
Download or read book Logistics, Supply Chain and Financial Predictive Analytics written by Kusum Deep and published by Springer. This book was released on 2018-08-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a broad range of problems commonly encountered in the fields of financial analysis, logistics and supply chain management, such as the use of big data analytics in the banking sector. Divided into twenty chapters, some of the contemporary topics discussed in the book are co-operative/non-cooperative supply chain models for imperfect quality items with trade-credit financing; a non-dominated sorting water cycle algorithm for the cardinality constrained portfolio problem; and determining initial, basic and feasible solutions for transportation problems by means of the “supply demand reparation method” and “continuous allocation method.” In addition, the book delves into a comparison study on exponential smoothing and the Arima model for fuel prices; optimal policy for Weibull distributed deteriorating items varying with ramp type demand rate and shortages; an inventory model with shortages and deterioration for three different demand rates; outlier labeling methods for medical data; a garbage disposal plant as a validated model of a fault-tolerant system; and the design of a “least cost ration formulation application for cattle”; a preservation technology model for deteriorating items with advertisement dependent demand and trade credit; a time series model for stock price forecasting in India; and asset pricing using capital market curves. The book offers a valuable asset for all researchers and industry practitioners working in these areas, giving them a feel for the latest developments and encouraging them to pursue further research in this direction.
Author : Rudolf Gorenflo
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (755 download)
Download or read book An operational method for solving generalized Abel integral equations of second kind written by Rudolf Gorenflo and published by . This book was released on 1995 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald Lee Schmidt
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.:/5 (38 download)
Download or read book Generalized Abel's Integral Equation ... written by Donald Lee Schmidt and published by . This book was released on 1955 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael P. Benson
Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.:/5 (89 download)
Download or read book Errors in Numerical Quadrature for Certain Singular Integrands, and the Numerical Solution of Abel Integral Equations written by Michael P. Benson and published by . This book was released on 1973 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
