A numerical primer for the chemical engineer. (2019)
- Record Type:
- Book
- Title:
- A numerical primer for the chemical engineer. (2019)
- Main Title:
- A numerical primer for the chemical engineer
- Further Information:
- Note: Edwin Zondervan.
- Authors:
- Zondervan, Edwin, 1976-
- Contents:
- 1 The role of models in chemical engineering; 1.1 Introduction; 1.2 The idea of a model; 1.4 Model analysis; 1.5 Model solution strategies; 1.6 Summary; 1.7 Exercises 2 Errors in computer simulations; 2.1 Introduction; 2.2 Significant digits; 2.3 Round-off and truncation errors; 2.4 Break errors; 2.5 Loss of digits; 2.6 Ill-conditioned problems; 2.7 (Un-)stable methods; 2.8 Summary; 2.9 Exercises 3 Linear equations; 3.1 Introduction; 3.2 MATLAB; 3.3 Linear systems; 3.4 The inverse of a matrix; 3.5 The determinant of a matrix; 3.6 Useful properties; 3.7 Matrix ranking; 3.8 Eigenvalues and eigenvectors; 3.9 Spectral decomposition; 3.10 Summary; 3.11 Exercises 4 Elimination methods; 4.1 Introduction; 4.2 MATLAB; 4.3 Gaussian elimination; 4.4 LU factorization; 4.5 Summary; 4.6 Exercises 5 Iterative methods; 5.1 Introduction; 5.2 Laplace’s equation; 5.3 LU factorization; 5.5 The Jacobi method; 5.6 Example for the Jacobi method; 5.7 Summary; 5.8 Exercises 6 Nonlinear equations; 6.1 Introduction; 6.2 Newton method 1D; 6.3 Newton method 2D; 6.4 Reduced Newton step method; 6.5 Quasi-Newton method; 6.6 Summary; 6.7 Exercises 7 Ordinary differential equations; 7.1 Introduction; 7.2 Euler’s method; 7.3 Accuracy and stability of Euler’s method; 7.4 The implicit Euler method; 7.5 Stability of the implicit Euler method; 7.6 Systems of ODEs; 7.7 Stability of ODE systems; 7.8 Stiffness of ODE systems; 7.9 Higher-order methods; 7.10 Summary; 7.11 Exercises 8 Numerical integration; 8.11 The role of models in chemical engineering; 1.1 Introduction; 1.2 The idea of a model; 1.4 Model analysis; 1.5 Model solution strategies; 1.6 Summary; 1.7 Exercises 2 Errors in computer simulations; 2.1 Introduction; 2.2 Significant digits; 2.3 Round-off and truncation errors; 2.4 Break errors; 2.5 Loss of digits; 2.6 Ill-conditioned problems; 2.7 (Un-)stable methods; 2.8 Summary; 2.9 Exercises 3 Linear equations; 3.1 Introduction; 3.2 MATLAB; 3.3 Linear systems; 3.4 The inverse of a matrix; 3.5 The determinant of a matrix; 3.6 Useful properties; 3.7 Matrix ranking; 3.8 Eigenvalues and eigenvectors; 3.9 Spectral decomposition; 3.10 Summary; 3.11 Exercises 4 Elimination methods; 4.1 Introduction; 4.2 MATLAB; 4.3 Gaussian elimination; 4.4 LU factorization; 4.5 Summary; 4.6 Exercises 5 Iterative methods; 5.1 Introduction; 5.2 Laplace’s equation; 5.3 LU factorization; 5.5 The Jacobi method; 5.6 Example for the Jacobi method; 5.7 Summary; 5.8 Exercises 6 Nonlinear equations; 6.1 Introduction; 6.2 Newton method 1D; 6.3 Newton method 2D; 6.4 Reduced Newton step method; 6.5 Quasi-Newton method; 6.6 Summary; 6.7 Exercises 7 Ordinary differential equations; 7.1 Introduction; 7.2 Euler’s method; 7.3 Accuracy and stability of Euler’s method; 7.4 The implicit Euler method; 7.5 Stability of the implicit Euler method; 7.6 Systems of ODEs; 7.7 Stability of ODE systems; 7.8 Stiffness of ODE systems; 7.9 Higher-order methods; 7.10 Summary; 7.11 Exercises 8 Numerical integration; 8.1 Introduction; 8.2 Euler’s method; 8.3 The trapezoid method; 8.4 Simpson’s method; 8.5 Estimation of errors using numerical integration; 8.6 The Richardson correction; 8.7 Summary; 8.8 Exercises 9 Partial differential equations; 9.1 Introduction; 9.2 Transport PDEs; 9.3 Finite volumes; 9.4 Discretizing the control volumes; 9.5 Transfer of heat to fluid in a pipe; 9.6 Simulation of the heat PDE; 9.7 Summary; 9.8 Exercises 10 Data regression and curve fitting; 10.1 Introduction; 10.2 The least squares method; 10.3 Residual analysis; 10.4 ANOVA analysis; 10.5 Confidence limits; 10.6 Summary; 10.7 Exercises 11 Optimization; 11.1 Introduction; 11.2 Linear programming; 11.3 Nonlinear programming; 11.4 Integer programming; 11.5 Summary; 11.6 Exercises 12 Basics of MATLAB; 12.1 Introduction; 12.2 The MATLAB user interface; 12.3 The array structure; 12.4 Basic calculations; 12.5 Plotting; 12.6 Reading and writing data; 12.7 Functions and m-files; 12.8 Repetitive operations 13 Numerical methods in Excel; 13.1 Introduction; 13.2 Basic functions in Excel; 13.3 The Excel solver; 13.4 Solving nonlinear equations in Excel; 13.5 Differentiation in Excel; 13.6 Curve fitting in Excel 14 Case studies; 14.1 Introduction; 14.2 Modeling a separation system; 14.3 Modeling a chemical reactor system; 14.4 PVT behavior of pure substances; 14.5 Dynamic modeling of a distillation column; 14.6 Dynamic modeling of an extraction cascade (ODEs); 14.7 Distributed parameter models for a tubular reactor; 14.8 Modeling of an extraction column; 14.9 Fitting of kinetic data; 14.10 Fitting of NRTL model parameters; 14.11 Optimizing a crude oil refinery; 14.12 Planning in a manufacturing line; Bibliography; Index … (more)
- Edition:
- Second edition
- Publisher Details:
- Boca Raton : CRC Press
- Publication Date:
- 2019
- Extent:
- 1 online resource, illustrations (black and white)
- Subjects:
- 660.0151
Chemical engineering -- Mathematics - Languages:
- English
- ISBNs:
- 9780429851445
9780429851452
9780429851438
9780429456343 - Related ISBNs:
- 9781138315389
- Notes:
- Note: Includes bibliographical references and index.
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- Physical Locations:
- British Library HMNTS - ELD.DS.460924
- Ingest File:
- 02_600.xml