Numerical Analysis with Applications in Mechanics and Engineering

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John Wiley & Sons, Jun 4, 2013 - Computers - 646 pages
NUMERICAL ANALYSIS WITH APPLICATIONS IN MECHANICS AND ENGINEERING

A much-needed guide on how to use numerical methods to solve practical engineering problems

Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results.

Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes:

  • How to deal with errors in numerical analysis
  • Approaches for solving problems in linear and nonlinear systems
  • Methods of interpolation and approximation of functions
  • Formulas and calculations for numerical differentiation and integration
  • Integration of ordinary and partial differential equations
  • Optimization methods and solutions for programming problems

Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.

 

Contents

Solution of Equations
17
Solution of Algebraic Equations
55
1
111
111
244
Solution of Systems of Nonlinear Equations
273
Interpolation and Approximation of Functions
307
Numerical Differentiation and Integration
377
307
412
Integration of Ordinary Differential Equations
451
Integration of Partial Differential Equations and
529
Optimizations
577
Index
629
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About the author (2013)

PETRE TEODORESCU, PHD, is a Professor in the Faculty of Mathematics and Computer Science at the University of Bucharest in Romania and the author of 250 papers and twenty-eight books.

NICOLAE-DORU STĂNESCU, PHD, is a Professor in the Faculty of Mechanics and Technology at the University of Piteşti in Romania and the author of 200 papers and ten books.

NICOLAE PANDREA, PHD, is a Professor in the Faculty of Mechanics and Technology at the University of Piteşti in Romania and the author of 250 papers and six books.

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