Edition DescriptionRevised edition,New Edition
Table Of ContentIntroduction 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.
SynopsisSubstantially revised and updated, Computer Methods for Engineering with MATLAB® Applications, Second Edition presents equations to describe engineering processes and systems. It includes computer methods for solving these equations and discusses the nature and validity of the numerical results for a variety of engineering problems. This edition now uses MATLAB in its discussions of computer solution. New to the Second Edition Recent advances in computational software and hardware A large number of MATLAB commands and programs for solving exercises and to encourage students to develop their own computer programs for specific problems Additional exercises and examples in all chapters New and updated references The text follows a systematic approach for obtaining physically realistic, valid, and accurate results through numerical modeling. It employs examples from many engineering areas to explain the elements involved in the numerical solution and make the presentation relevant and interesting. It also incorporates a wealth of solved exercises to supplement the discussion and illustrate the ideas and methods presented. The book shows how a computational approach can provide physical insight and obtain inputs for the analysis and design of practical engineering systems., Substantially revised and updated, Computer Methods for Engineering with MATLAB(R) Applications, Second Edition presents equations to describe engineering processes and systems. It includes computer methods for solving these equations and discusses the nature and validity of the numerical results for a variety of engineering problems. This edition now uses MATLAB in its discussions of computer solution. New to the Second Edition Recent advances in computational software and hardware A large number of MATLAB commands and programs for solving exercises and to encourage students to develop their own computer programs for specific problems Additional exercises and examples in all chapters New and updated references The text follows a systematic approach for obtaining physically realistic, valid, and accurate results through numerical modeling. It employs examples from many engineering areas to explain the elements involved in the numerical solution and make the presentation relevant and interesting. It also incorporates a wealth of solved exercises to supplement the discussion and illustrate the ideas and methods presented. The book shows how a computational approach can provide physical insight and obtain inputs for the analysis and design of practical engineering systems.
LC Classification NumberTA345