A course on integral equations with numerical analysis : advanced numerical analysis / Tofigh Allahviranloo, Armin Esfandiari.
2022
QA431 .A45 2022
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Title
A course on integral equations with numerical analysis : advanced numerical analysis / Tofigh Allahviranloo, Armin Esfandiari.
ISBN
9783030853501 (electronic bk.)
3030853500 (electronic bk.)
9783030853495
3030853497
3030853500 (electronic bk.)
9783030853495
3030853497
Published
Cham : Springer, [2022]
Copyright
©2022
Language
English
Description
1 online resource : illustrations
Item Number
10.1007/978-3-030-85350-1 doi
Call Number
QA431 .A45 2022
Dewey Decimal Classification
515/.45
Summary
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.
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Includes bibliographical references.
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text file
PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed November 9, 2021).
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Series
Mathematical engineering.
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Table of Contents
Introduction to Numerical Analysis
Interval interpolation
Orthogonal polynomials and Least square approximation
Integral equations
Numerical methods for Integral equations
Numerical methods for Integral-differential equations
Introduction to Interval Integral equations.
Interval interpolation
Orthogonal polynomials and Least square approximation
Integral equations
Numerical methods for Integral equations
Numerical methods for Integral-differential equations
Introduction to Interval Integral equations.