# Practical Numerical Methods for Chemical Engineers: Using Excel with VBA, 2nd Edition

## Richard A. Davis

0 durchschnittliche Bewertung
( 0 Bewertungen bei Goodreads )

Reseña del editor:

This revised and expanded 2nd edition introduces even more computational techniques with over 100 VBA macros for extending Excel's power. Engineers and scientists will find the coverage of computational tools applicable to a variety of problems in their own disciplines. ** The selection of software reflects Excel's current status as the de facto computational tool used by practicing engineers. Engineers and scientists should become proficient at extending Excel’s capabilities with Visual Basic for Applications (VBA) programs to boost their Excel worksheets with time saving enhancements and powerful numerical techniques. ** Topics include an introduction to modeling, documentation, basic Excel and VBA programming, root-finding for linear and nonlinear systems of equations, multivariate optimization, experimental uncertainty propagation and analysis, linear and non-linear least-squares regression and model validation, interpolation, integration, and ordinary and partial differential equations. ** A companion web site has links to digital files for downloading over 170 illustrations and examples and the PNM2Suite Excel workbook with VBA user-defined functions, macros, and user forms for advanced numerical techniques. Practice problems are also available from the web site (http://www.d.umn.edu/~rdavis/PNM/PNMExcelVBA2/). Example files and macros may be modified by the user to solve new problems. ** Chapter 1 includes a brief introduction to chemical reaction engineering that provides some background needed for problems involving mass & energy balances with reactions. ** The next two chapters introduce frequently overlooked features of Excel and VBA for engineering programming to apply numerical methods in Excel, as well as document results (versions Excel 2007, 2010 & higher). The remaining chapters present powerful numerical techniques using Excel & VBA, including: ** General Methods: Pseudo-random number generation, Sorting, Formula graphing & evaluation, Random Sampling, User forms ** Linear Equations: Gaussian Elimination, Crout Reduction, Thomas for tri-diagonal matrices, Cholesky for symmetric matrices, worksheet Matrix functions, Jacobi & Gauss-Seidel Iteration, Wegstein & Steffenson's Aitkin Delta Square methods ** Nonlinear Equations: Ordinary Fixed-Point Iteration (Successive Substitution), Bisection, Secant, Regula Falsi, Newton & Quasi-Newton, Continuation (homotopy), Goal Seek, Solver, Bairstow's method for polynomials ** Derivative Approximation: Finite Difference, Richardson's extrapolation, Jacobian, Sensitivity Analysis, Lagrange polynomials, piecewise polynomial splines ** Uncertainty Analysis: Jitter method for the Law of Propagation of Uncertainty, Monte Carlo with Latin-Hypercube sampling, Jackknife for regression parameter uncertainty ** Optimization: Graphical, Quadratic with acceleration, Powell, Golden Section, Luus-Jaakola, Solver (for linear and nonlinear programming), Parameter Scaling ** Least-squares Regression: multivariate linear models, Gauss-Newton and Levenberg-Marquardt for nonlinear models, Solver, Optimization methods, Rational Least Squares ** Interpolation: Linear, Newton Divided Difference, La Grange, Rational, Stineman, Cubic Spline, Constrained Splines, Data Smoothing ** Integration: Trapezoid, Improper, Midpoint, Romberg, Simpson, Adaptive Gauss-Kronrod, Splines, multiple integrals with Simpson, Kronrod, & Monte Carlo methods ** Initial-Value ODEs: Taylor Series, improved Euler, implicit Trapezoid for stiff problems, Modified Euler, fixed & variable step Four/Fifth-order Runge-Kutta, Cash-Karp & Dormand-Prince, Adams-Bashforth-Moulton multi-step methods ** Boundary Value ODEs and PDEs: Shooting, Finite Difference, Collocation on Finite Elements, Method of Lines, semi-implicit Crank-Nicholson methods ** Tables for quick reference of Excel, VBA, and custom functions & macros for numerical methods. ** Tables of unit conversions and ideal gas constants.

Reseña del editor:

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

(Keine Angebote verfügbar)

Buch Finden:

Kaufgesuch aufgeben

Sie kennen Autor und Titel des Buches und finden es trotzdem nicht auf ZVAB? Dann geben Sie einen Suchauftrag auf und wir informieren Sie automatisch, sobald das Buch verfügbar ist!

Kaufgesuch aufgeben