Numerical Analysis for Engineers: Methods and Applications demonstrates the power of numerical methods in the context of solving complex engineering and scientific problems. The book helps to prepare future engineers and assists practicing engineers in understanding the fundamentals of numerical methods, especially their applications, limitations, and potentials.
Each chapter contains many computational examples, as well as a section on applications that contain additional engineering examples. Each chapter also includes a set of exercise problems.
The problems are designed to meet the needs of instructors in assigning homework and to help students with practicing the fundamental concepts. Although the book was developed with emphasis on engineering and technological problems, the numerical methods can also be used to solve problems in other fields of science.
Table of Contents
Numerical Analysis in Engineering
Analytical versus Numerical Analysis
Taylor Series Expansion
Rank of a Matrix
Introduction to Numerical Methods
Accuracy, Precision, and Bias
Analysis of Numerical Errors
Advantages and Disadvantages of Numerical Methods
Roots of Equations
Systems of Nonlinear Equations
Simultaneous Linear Equations
Additional Considerations for Elimination Procedures
Iterative Equation-Solving Methods
Use of Determinants
Method of Undetermined Coefficients
Gregory–Newton Interpolation Method
Interpolation Using Splines
Guidelines for Choice of Interpolation Method
Differentiation and Integration
Taylor Series Expansion
Modified Euler’s Method
Higher Order Differential Equations
Data Description and Treatment
Classification of Data
Graphical Description of Data
Histograms and Frequency Diagrams
Curve Fitting and Regression Analysis
Introduction to Regression
Principle of Least Squares
Reliability of the Regression Equation
Correlation versus Regression
Applications of Bivariate Regression Analysis
Multiple Regression Analysis
Regression Analysis of Nonlinear Models
The Response Surface Analysis
Numerical Least Squares
Steepest Descent Method
Bilal Ayyub, PhD, is a professor of civil and environmental engineering at the University of Maryland, College Park, and the director of the Center for Technology and Systems Management at the A. James Clark School of Engineering. Dr. Ayyub is a fellow of the American Society of Civil Engineers, the American Society of Mechanical Engineers, the Society of Naval Architects and Marine Engineers, and the Society for Risk Analysis, and is also a senior member of the Institute of Electrical and Electronics Engineers (IEEE). He has completed many research and development projects for many governmental and private entities. Dr. Ayyub has received numerous awards and is the author or coauthor of more than 600 publications in journals, conference proceedings, and reports including 8 textbooks and 14 edited books.
Richard H. McCuen, PhD, is the Ben Dyer Professor of civil and environmental engineering at the University of Maryland, College Park. Dr. McCuen earned degrees from Carnegie Mellon University and the Georgia Institute of Technology. Topics in statistical hydrology and stormwater management are his primary research interests. He received numerous awards and is the author of 26 books and over 250 professional papers.
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