Practical Numerical Methods for Chemical Engineers: Using Excel with VBA

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9781495409653: Practical Numerical Methods for Chemical Engineers: Using Excel with VBA
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The Student 3rd Edition builds on the popular success of earlier editions to expand the breadth of Practical Numerical Methods with more VBA macros that extend Excel's power for modeling and analysis.

Same Content as 3rd edition - Priced for Students!

Excel is the computational tool most used by practicing engineers and scientists. Use this book to become proficient with VBA programming and boost your worksheets with time saving enhancements and powerful numerical techniques found in specialized applications.

A companion web site has digital files for downloading 300 illustrations, examples, animations, and the refined PNM3Suite workbook with 200 VBA user-defined functions, macros, and user forms for advanced numerical techniques. Practice problems are available for each chapter at the web site (www.d.umn.edu/~rdavis/PNM/PNMExcelVBA3). Example files and macros are ready to be modified by users for their own needs.

Topics include an introduction to modeling, Excel and VBA programming, root-finding for systems of linear and nonlinear equations, eigenproblems, derivative approximation, optimization, experimental uncertainty analysis, least-squares regression and model validation, interpolation, integration, and ordinary & partial differential equations.

The introduction includes a primer on chemical reaction engineering for problems involving mass and energy balances with reactions. The next two chapters cover frequently overlooked features of Excel and VBA for engineering programming to apply numerical methods in Excel, as well as document results. The remaining chapters present powerful numerical techniques using Excel & VBA.

  1. Introduction to Numerical Methods & Mathematical Modeling
  2. Introduction to Excel: Documentation, Graphing, Worksheet Functions, Validation & Formatting, What-if Analysis
  3. VBA: Editor, Functions & Sub Procedures, Data Types, Structured Programming, Arithmetic & Worksheet Functions, Flow Control, Arrays, Communication, Message & Input Boxes, User Forms, Reading/Writing Files, Debugging
  4. Linear Equations: Matrix Algebra, Gaussian Elimination & Crout Reduction with Pivoting, Thomas, Cholesky, Power, Jacobi, & Interpolation Method for Eigenvalues & Eigenvectors, Jacobi & Gauss-Seidel Iteration, Relaxation
  5. Taylor Series Analysis: Finite Difference Derivative Approximations, Richardson's Extrapolation
  6. Nonlinear Equations: Root Finding, Bisection, Regula Falsi, Newton & Secant Methods, Wegstein, Quasi-Newton, Aitkin & Steffensen, Homotopy, Goal Seek & Solver, Bairstow's Method for Polynomial Roots
  7. Optimization: Solver, Luus-Jaakola, Quadratic Interpolation, Golden Section, Powell, downhill Simplex, Firefly, Constraints, Scaling
  8. Uncertainty Analysis: Bootstrap method of expanded uncertainty, Law of Propagation, Monte Carlo Simulations with Latin Hypercube Sampling
  9. Least-squares Regression: Linear & Nonlinear, LINEST, Gauss-Newton, Levenberg-Marquardt, Model Validation & Assessment, Parameter Uncertainty, Weighted Regression
  10. Interpolation: Linear, Newton Divided Difference & Lagrange Polynomials, Rational, Stineman, Cubic, B, Akima, & Constrained Hermite Splines, Linear & Spline Bivariate
  11. Integration: Graphical, Trapezoidal, Midpoint for Improper Integrals, Romberg, Adaptive Simpson & Gauss-Kronrod, Multiple Integrals by Guass-Kronrod & Monte Carlo
  12. Initial-value Problems: Single Step Euler & Backward Euler, Implicit Trapezoidal, Variable Step Runge-Kutta Cash Karp, Dormand-Prince, Multi-step Adams-Bashforth-Moulton, Differential-Algebraic Systems
  13. Boundary-value Problems & Partial Differential Equations: Shooting, Finite Difference, Orthogonal Collocation, Quasilinearization, Method of Lines, Crank-Nicholson
  14. Review: Summary Tables of Excel & VBA Functions, User-defined Functions, Macros, User Forms

Biografía del autor:

Richard Davis is a Jean G. Blehart Distinguished Professor of Chemical Engineering at the University of Minnesota Duluth. He earned Ph.D. and B.S. Chemical Engineering degrees from UCSB and BYU, respectively.

Professor Davis has over two decades experience teaching a variety of courses including computational methods, unit operations of momentum, heat and mass transfer, chemical reactor design, engineering economics, bioprocessing and green engineering.

His current teaching and research interests include process modeling and simulation applied to mineral processing, energy conversion, air pollution control, chemical process safety, and environmental management.

Professor Davis serves as the Executive Secretary for the National Chemical Engineering Honor Society Omega Chi Epsilon, and is active in AIChE and ASEE. He is the academic adviser to the local engineering student chapters of Tau Beta Pi, Omega Chi Epsilon, and the Society for Mining, Metallurgy, and Exploration.

He is the recipient of the University’s Outstanding Adviser and Exceptional Teaching awards.

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