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Informationen zum Autor 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 ST¿NESCU, PHD, is a Professor in the Faculty of Mechanics and Technology at the University of Pite¿ti 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 Pite¿ti in Romania and the author of 250 papers and six books. Klappentext 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. Zusammenfassung Written in simple engineering language with ample application examples! Numerical Analysis with Applications in Mechanics and Engineering applies mathematical analysis to practical engineering problems. Each chapter begins with a theoretical presentation emphasizing the practical computation and represents a unique analytical methodology. Inhaltsverzeichnis Preface xi 1 Errors in Numerical Analysis 1 1.1 Enter Data Errors 1 1.2 Approximation Errors 2 1.3 Round-Off Errors 3 1.4 Propagation of Errors 3 1.4.1 Addition 3 1.4.2 Multiplication 5 1.4.3 Inversion of a Number 7 1.4.4 Division of Two Numbers 7 1.4.5 Raising to a Negative Entire Power 7 1.4.6 Taking the Root of p th Order 7 1.4.7 Subtraction 8 1.4.8 Computation of Functions 8 1.5 Applications 8 Further Reading 14 2 Solution of Equations 17 2.1 The Bipartition (Bisection) Method 17 2.2 The Chord (Secant) Method 20 2.3 The Tangent Method (Newton) 26 2.4 The Contraction Method 37 2.5 The Newton-Kantorovich Method 42 2.6 Numerical Examples 46 2.7 Applications 49 Further Reading 52 3 Solution of Algebraic Equations 55 3.1 Determination of Limits of the Roots of Polynomials 55 3.2 Separation of Roots 60 3.3 Lagrange's Method 69 3.4 The Lobachevski-Graeffe Method 72 3.4.1 The Case of Distinct Real Roots 72 3.4.2 The Case of a Pair of Complex Conjugate Roots 74 3.4.3 The Case of Two Pairs of Complex Conjugate Roots 75 3.5 The Bernoulli Method ...
