Approximation Techniques for Engineers: Second Edition
by Louis Komzsik
B072NYV2LS
Print Length 页数: 386 pages
Publisher finelybook 出版社: CRC Press; 2 edition (18 April 2017)
Language 语言: English
ISBN-10: 1138700053
ISBN-13: 9781138700055
Book Description
By finelybook
This second edition includes eleven new sections based on the approximation of matrix functions,deflating the solution space and improving the accuracy of approximate solutions,iterative solution of initial value problems of systems of ordinary differential equations,and the method of trial functions for boundary value problems. The topics of the two new chapters are integral equations and mathematical optimization. The book provides alternative solutions to software tools amenable to hand computations to validate the results obtained by “black box” solvers. It also offers an insight into the mathematics behind many CAD,CAE tools of the industry. The book aims to provide a working knowledge of the various approximation techniques for engineering practice.
Contents
Part I Data Approximations
Chapter 1 Classical Interpolation Methods
Chapter 2 Approximation With Splines
Chapter 3 Least Squares Approximation
Chapter 4 Approximation Of Functions
Chapter 5 Numerical Differentiation
Chapter 6 Numerical Integration
Part II Approximate Solutions
Chapter 7 Nonlinear Equations In One Variable
Chapter 8 Systems Of Nonlinear Equations
Chapter 9 Iterative Solution Of Linear Systems
Chapter 10 Approximate Solution Of Eigenvalue Problems
Chapter 11 Initial Value Problems
Chapter 12 Boundary Value Problems
Chapter 13 Integral Equations
Chapter 14 Mathematical Optimization
图书说明
第二版包括基于矩阵函数近似的十一个新部分，缩小解空间，提高近似解的精度，对常微分方程系统的初始值问题的迭代解，以及边界值问题的试验函数的方法。这两个新章节的主题是积分方程和数学优化。该书为软件工具提供了替代解决方案，可以手工计算，以验证“黑匣子”求解器获得的结果。它还提供了对行业许多CAD，CAE工具背后的数学的洞察。本书旨在提供工程实践中各种近似技术的工作知识。
目录
第一部分数据近似
第一章古典插值方法
第2章使用样条曲线近似
第3章最小二乘近似
第四章功能近似
第五章数值分化
第六章数值整合
第二部分近似解决方案
第7章一个变量中的非线性方程
第8章非线性方程组
第9章线性系统的迭代解
第10章特征值问题的近似解
第11章初始值问题
第12章边界值问题
第13章积分方程
第14章数学优化
