Computer Methods for Engineering with MATLAB® Applications - Jaluria, Yogesh

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Auteur(s) : Jaluria, Yogesh

Editeur : Crc Press

Langue : Anglais

Parution : 01/09/2011

Format : Moyen, de 350g à 1kg

Nombre de pages : 632

Expédition : 998

Dimensions : 23.6 x 16.3 x 3.8

ISBN : 1591690366

Résumé :
Written by an internationally respected field expert from Rutgers, this second edition enables a basic understanding of mathematical methods involved in numerical computer analysis and highlights issues of particular importance to the field of engineering.

Biographie:

Yogesh Jaluria is a Board of Governors Professor in the Mechanical and Aerospace Engineering Department at Rutgers University. He has contributed to more than 450 technical articles and received numerous honors, including the Kern Award from AIChE, the Max Jakob Memorial Award from ASME and AIChE, and the Robert Henry Thurston Lecture Award, Freeman Scholar Award, Worcester Reed Warner Medal, and Heat Transfer Memorial Award, all from ASME.

Sommaire:
Introduction Introductory Remarks Numerical Solutions Importance of Analytical Results Physical Considerations Application of Computer Methods to Engineering Problems Outline and Scope of the Book Basic Considerations in Computer Methods Introduction Computational Procedure Numerical Errors and Accuracy Iterative Convergence Numerical Parameters A Review of MATLAB Programming Introduction MATLAB Environment Ordinary Differential Equations Input/Output Script m-Files Function m-Files Plotting Taylor Series and Numerical Differentiation Introduction The Taylor Series Direct Approximation of Derivatives Taylor-Series Approach and Accuracy Polynomial Representation Partial Derivatives Roots of Equations Introduction Search Method for Real Roots Bisection Method Regula Falsi and Secant Methods Newton-Raphson Method and Modified Newton's Method Successive Substitution Method Other Methods Numerical Solutions of Simultaneous Algebraic Equations Introduction Gaussian Elimination Gauss-Jordan Elimination Compact Methods Numerical Solution of Linear Systems by Matrix Inversion Iterative Methods Homogeneous Linear Equations Solution of Simultaneous Nonlinear Equations Numerical Curve Fitting and Interpolation Introduction Exact Fit and Interpolation Lagrange Interpolation Newton's Divided-Difference Interpolating Polynomial Numerical Interpolation with Splines Method of Least Squares for a Best Fit Function of Two or More Independent Variables Numerical Integration Introduction Rectangular and Trapezoidal Rules for Integration Simpson's Rules for Numerical Integration Higher-Accuracy Methods Integration with Segments of Unequal Width Numerical Integration of Improper Integrals Numerical Solution of Ordinary Differential Equations Introduction Euler's Method Improvements in Euler's Method Runge-Kutta Methods Multistep Methods Predictor-Corrector Methods Boundary-Value Problems Numerical Solution of Partial Differential Equations Introduction Parabolic PDEs Elliptic PDEs Hyperbolic PDEs Appendix A: Some Common Commands in MATLAB Appendix B: Computer Programs in MATLAB Appendix C: Computer Programs in FORTRAN References Index A Summary and Problems appear at the end of each chapter.