## Numerical methods for chemical engineers using Excel, VBA, and MATLAB

Victor J. Law

While teaching the Numerical Methods for Engineers course over the last 15 years, the author found a need for a new textbook, one that was less elementary, provided applications and problems better suited for chemical engineers, and contained instruction in Visual Basic(R) for Applications (VBA). This led to six years of developing teaching notes that have been enhanced to create the current textbook, Numerical Methods for Chemical Engineers Using Excel(R), VBA, and MATLAB(R). Focusing on Excel gives the advantage of it being generally available, since it is present on every computer-PC and Mac-that has Microsoft Office installed. The VBA programming environment comes with Excel and greatly enhances the capabilities of Excel spreadsheets. While there is no perfect programming system, teaching this combination offers knowledge in a widely available program that is commonly used (Excel) as well as a popular academic software package (MATLAB). Chapters cover nonlinear equations, Visual Basic, linear algebra, ordinary differential equations, regression analysis, partial differential equations, and mathematical programming methods. Each chapter contains examples that show in detail how a particular numerical method or programming methodology can be implemented in Excel and/or VBA (or MATLAB in chapter 10). Most of the examples and problems presented in the text are related to chemical and biomolecular engineering and cover a broad range of application areas including thermodynamics, fluid flow, heat transfer, mass transfer, reaction kinetics, reactor design, process design, and process control. The chapters feature "Did You Know" boxes, used to remind readers of Excel features. They also contain end-of-chapter exercises, with solutions provided.

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[目次]

• Roots of a Single Nonlinear Equation Introduction Algorithms for Solving f(x) = 0 Using Excel to Solve Nonlinear Equations (Goal Seek) A Note on In-Cell Iteration References Visual Basic(R) for Applications Programming Introduction Algorithm Design VBA Coding Example VBA Project Getting Help and Documentation on VBA VBA Statements and Features Objects and OOP Built-In Functions of VBA Program Control VBA Data Types Subs and Functions Input and Output Array Data Structures Alternative I/O Methods Using Debugger References Linear Algebra and Systems of Linear Equations Introduction Notation Vectors Vector Operations Matrices Matrix Operations Solving Systems of Linear Algebraic Equations Linear Equations and Vector/Matrix Operations in Excel(R) More About Matrix.xla SVD and Pseudo-Inverse of a Matrix Numerical Differentiation and Integration Numerical Differentiation Numerical Integration Curve Fitting for Integration Ordinary Differential Equations (Initial Value Problems) Introduction Euler-Type Methods RK Methods Stiff ODEs Solving Systems of ODE-IVPs Higher-Order ODEs Ordinary Differential Equations (Boundary Value Problems) Introduction Shooting Method Split BVPs Using Finite Differences More Complex Boundary Conditions with ODE-BVPs Reference Regression Analysis and Parameter Estimation General Method of Least Squares Linear Regression Analysis How Good Is the Fit from a Statistical Perspective? Regression Using Excel's Regression Add-In Numerical Differentiation and Integration Revisited Partial Differential Equations Introduction Parabolic PDEs Thomas Algorithm for Tridiagonal Systems Method of Lines Successive Overrelaxation for Elliptic PDEs Linear Programming, Nonlinear Programming, Nonlinear Equations, and Nonlinear Regression Using Solver Introduction Linear Programming Nonlinear Programming Nonlinear Equations Nonlinear Regression Analysis Introduction to MATLAB(R) Introduction MATLAB(R) Basics MATLAB(R) Programming Language Statements MATLAB(R) Function Arguments Plotting in MATLAB(R) Example MATLAB(R) Programs Closing Comment Regarding MATLAB(R) Appendix A: Additional Features of VBA Index

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書名 Numerical methods for chemical engineers using Excel, VBA, and MATLAB Law Victor J. CRC Press c2013 xviii, 229 p. 25 cm 9781466575349 BB15147932 ※クリックでCiNii Booksを表示 英語 アメリカ合衆国
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