数值分析导论

出版时间：1998-3  出版社：世界图书出版公司  作者：J.Stoer R.Bulirsch  页数：660  
Tag标签：无  

内容概要

On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems.

书籍目录

Preface to the Second Edition Preface to the First Edition 1 Error Analysis   1.1 Representation of Numbers  1.2 Roundoff Errors and Floating-Point Arithmetic  1.3 Error Propagation   1.4 Examples  1.5 Interval Arithmetic； Statistical Roundoff Estimation  Exercises for Chapter 1   References for Chapter 12 Interpolation  2.1 Interpolation by Polynomials    2.1.1 Theoretical Foundation: The Interpolation Formula of Lagrange    2.1.2 Neville‘s Algorithm    2.1.3 Newton‘s Interpolation Formula: Divided Differences    2.1.4 The Error in Polynomial Interpolation     2.1.5 Hermite Interpolation  2.2 Interpolation by Rational Functions    2.2.1 General Properties of Rational Interpolation    2.2.2 Inverse and Reciprocal Differences. Thiele‘s Continued Fraction    2.2.3 Algorithms of the Neville Type    2.2.4 Comparing Rational and Polynomial Interpolations  2.3 Trigonometric Interpolation  ……3 Topics in Integration4 Systems of Linear Equations5 Finding Zeros nad Minim by Iterative Methods6 Eigenvalue Problems7 Ordinary Differential Equations8 Iterative Methods for the Solution of Large Systems of Linear Equation.Some Further MethodsGeneral Literature on Numerical MethodsIndex

用户评论 (总计1条)

•   　　这本数值分析书是为数学专业的学生写的，数学味道浓烈！
  　　国内的大部分数值分析教材都是给工科研究生写的，只给了一些方法而已，数学专业的学生就没看的必要了。