Description
Taylor & Francis Ltd Computer Methods For Engineering With Matlab (R) Applications 2011 Edition by Yogesh Jaluria
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 EditionRecent advances in computational software and hardwareA large number of MATLAB commands and programs for solving exercises and to encourage students to develop their own computer programs for specific problemsAdditional exercises and examples in all chaptersNew and updated referencesThe 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. IntroductionIntroductory RemarksNumerical SolutionsImportance of Analytical ResultsPhysical ConsiderationsApplication of Computer Methods to Engineering ProblemsOutline and Scope of the BookBasic Considerations in Computer MethodsIntroductionComputational ProcedureNumerical Errors and AccuracyIterative ConvergenceNumerical ParametersA Review of MATLAB ProgrammingIntroductionMATLAB EnvironmentOrdinary Differential EquationsInput/OutputScript m-FilesFunction m-FilesPlottingTaylor Series and Numerical DifferentiationIntroductionThe Taylor SeriesDirect Approximation of DerivativesTaylor-Series Approach and AccuracyPolynomial RepresentationPartial DerivativesRoots of EquationsIntroductionSearch Method for Real RootsBisection MethodRegula Falsi and Secant MethodsNewton-Raphson Method and Modified Newton's MethodSuccessive Substitution MethodOther MethodsNumerical Solutions of Simultaneous Algebraic EquationsIntroductionGaussian EliminationGauss-Jordan EliminationCompact MethodsNumerical Solution of Linear Systems by Matrix InversionIterative MethodsHomogeneous Linear EquationsSolution of Simultaneous Nonlinear EquationsNumerical Curve Fitting and InterpolationIntroductionExact Fit and InterpolationLagrange InterpolationNewton's Divided-Difference Interpolating PolynomialNumerical Interpolation with SplinesMethod of Least Squares for a Best FitFunction of Two or More Independent VariablesNumerical IntegrationIntroductionRectangular and Trapezoidal Rules for IntegrationSimpson's Rules for Numerical IntegrationHigher-Accuracy MethodsIntegration with Segments of Unequal WidthNumerical Integration of Improper IntegralsNumerical Solution of Ordinary Differential EquationsIntroductionEuler's MethodImprovements in Euler's MethodRunge-Kutta MethodsMultistep MethodsPredictor-Corrector MethodsBoundary-Value ProblemsNumerical Solution of Partial Differential EquationsIntroductionParabolic PDEsElliptic PDEsHyperbolic PDEsAppendix A: Some Common Commands in MATLABAppendix B: Computer Programs in MATLABAppendix C: Computer Programs in FORTRANReferencesIndexA Summary and Problems appear at the end of each chapter.