A theoretical introduction to numerical analysis /

Bibliographic Details
Main Authors:	Ryaben'kii, Victor S. (Author), Tsynkov, Semyon V. (Author)
Corporate Authors:	Taylor & Francis, CRC Press
Format:	eBook
Language:	English
Published:	Boca Raton, FL : CRC Press, an imprint of Chapman and Hall/CRC, 2006.
Edition:	First edition.
Subjects:	Numerical analysis. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

chapter 1 Introduction
chapter 1 Part I. Interpolation of Functions. Quadratures
chapter 2 Algebraic Interpolation
chapter 3 Trigonometric Interpolation
chapter 4 Computation of Definite Integrals. Quadratures
chapter 2 Part II. Systems of Scalar Equations
chapter 5 Systems of Linear Algebraic Equations: Direct Methods
chapter 6 Iterative Methods for Solving Linear Systems
chapter 7 Overdetermined Linear Systems. The Method of Least Squares
chapter 8 Numerical Solution of Nonlinear Equations and Systems
chapter 3 The Method of Finite Differences for the Numerical Solu- tion of Differential Equations
chapter 9 Numerical Solution of Ordinary Differential Equations
chapter 10 Finite-Difference Schemes for Partial Differential Equations
chapter 11 Discontinuous Solutions and Methods of Their Computation
chapter 12 Discrete Methods for Elliptic Problems
chapter 4 Part IV. The Methods of Boundary Equations for the Numerical Solution of Boundary Value Problems
chapter 13 Boundary Integral Equations and the Method of Boundary Elements
chapter 14 Boudary Equations with Projections and the Method of Difference Potentials.