Includes bibliographical references and index.
|Statement||edited by Michael A. Golberg.|
|Series||Mathematical concepts and methods in science and engineering ;, 42|
|Contributions||Golberg, Michael A.|
|LC Classifications||QA431 .N852 1990|
|The Physical Object|
|Pagination||xiii, 417 p. :|
|Number of Pages||417|
|LC Control Number||90007210|
In , 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. Apr 14, · A comprehensive, up-to-date, and highly-readable introduction to the numerical solution of a large class of integral equations, this book lays an important foundation for the numerical analysis of Cited by: the book discusses methods for solving differential algebraic equations (Chapter 10) and Volterra integral equations (Chapter 12), topics not commonly included in an introductory text on the numerical solution of differential equations. vii. A number of integral equations are considered which are encountered in various ﬁelds of mechanics and theoretical physics (elasticity, plasticity, hydrodynamics, heat and mass transfer, electrodynamics, etc.). The second part of the book presents exact, approximate analytical and numerical methods for solving linear and nonlinear integral.
This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and Nystrom pandudesign.com: Kendall E. Atkinson. Numerical Solution of Partial Differential Equations—II: Synspade provides information pertinent to the fundamental aspects of partial differential equations. This book covers a variety of topics that range from mathematical numerical analysis to numerical methods applied to problems in mechanics, meteorology, and fluid dynamics. THE NUMERICAL SOLUTION OF INTEGRAL EQUA TIONS OF THE SECOND KIND 1 Kendall E. A tkinson Departmen t of Mathematics Univ ersit y of Io w a Io . Numerical Solution of Ordinary Differential Equations is an excellent textbook for courses on the numerical solution of differential equations at the upper-undergraduate and beginning graduate levels. It also serves as a valuable reference for researchers in the fields of mathematics and engineering.
MT - Integral equations Introduction Integral equations occur in a variety of applications, often being obtained from a differential equation. The reason for doing this is that it may make solution of the problem easier or, sometimes, enable us to prove fundamental results on the existence and uniqueness of . This book provides an extensive introduction to the numerical solution of a large class of integral equations. Numerical Solution of Ordinary Differential Equations presents a complete and easy-to-follow introduction to classical topics in the numerical solution of ordinary differential equations. The book's approach not only explains the presented mathematics, but also helps readers understand how these numerical methods are used to solve real-world Cited by: Get this from a library! Numerical solution of integral equations. [L M Delves; J E Walsh; University of Manchester. Department of Mathematics.; University of Liverpool. Department of Computational and Statistical Science.;] -- "Based on the material presented at a joint summer school in July , organized by the Department of Mathematics, University of Manchester, and the Department of.