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Analytical and Numerical Methods for Volterra Equations

1985-01-01 Mathematics
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Release : 1985-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 852/5 ( reviews)

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Book Synopsis Analytical and Numerical Methods for Volterra Equations by : Peter Linz

Download or read book Analytical and Numerical Methods for Volterra Equations written by Peter Linz. This book was released on 1985-01-01. 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.

The Numerical Solution of Volterra Equations

1986 Mathematics
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Release : 1986
Genre : Mathematics
Kind : eBook
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Book Synopsis The Numerical Solution of Volterra Equations by : Hermann Brunner

Download or read book The Numerical Solution of Volterra Equations written by Hermann Brunner. This book was released on 1986. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the theory and modern numerical analysis of Volterra integral and integro-differential equations, including equations with weakly singular kernels. While the research worker will find an up-to-date account of recent developments of numerical methods for such equations, including an extensive bibliography, the authors have tried to make the book accessible to the non-specialist possessing only a limited knowledge of numerical analysis. After an introduction to the theory of Volterra equations and to numerical integration, the book covers linear methods and Runge-Kutta methods, collocation methods based on polynomial spline functions, stability of numerical methods, and it surveys computer programs for Volterra integral and integro-differential equations.

A Course on Integral Equations with Numerical Analysis

2021-10-30 Technology & Engineering
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Release : 2021-10-30
Genre : Technology & Engineering
Kind : eBook
Book Rating : 500/5 ( reviews)

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Book Synopsis A Course on Integral Equations with Numerical Analysis by : Tofigh Allahviranloo

Download or read book A Course on Integral Equations with Numerical Analysis written by Tofigh Allahviranloo. This book was released on 2021-10-30. Available in PDF, EPUB and Kindle. Book excerpt: This book suggests that the numerical analysis subjects’ matter are the important tools of the book topic, because numerical errors and methods have important roles in solving integral equations. Therefore, all needed topics including a brief description of interpolation are explained in the book. The integral equations have many applications in the engineering, medical, and economic sciences, so the present book contains new and useful materials about interval computations including interval interpolations that are going to be used in interval integral equations. The concepts of integral equations are going to be discussed in two directions, analytical concepts, and numerical solutions which both are necessary for these kinds of dynamic systems. The differences between this book with the others are a full discussion of error topics and also using interval interpolations concepts to obtain interval integral equations. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit the subjects of the book.

Integral Equations on Time Scales

2016-10-30 Mathematics
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Release : 2016-10-30
Genre : Mathematics
Kind : eBook
Book Rating : 285/5 ( reviews)

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Book Synopsis Integral Equations on Time Scales by : Svetlin G. Georgiev

Download or read book Integral Equations on Time Scales written by Svetlin G. Georgiev. This book was released on 2016-10-30. Available in PDF, EPUB and Kindle. Book excerpt: This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book contains nine chapters and each chapter is pedagogically organized. This book is specially designed for those who wish to understand integral equations on time scales without having extensive mathematical background.

Stability Analysis of Numerical Methods for Volterra Integral Equations with Polynomial Convolution Kernels

1981
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Release : 1981
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Book Synopsis Stability Analysis of Numerical Methods for Volterra Integral Equations with Polynomial Convolution Kernels by : S. Amini

Download or read book Stability Analysis of Numerical Methods for Volterra Integral Equations with Polynomial Convolution Kernels written by S. Amini. This book was released on 1981. Available in PDF, EPUB and Kindle. Book excerpt:

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