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Director: Prof. Andreas A. Linninger
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Che 431

Spring 2005

Numerical Methods in Chemical Engineering
(4 graduate course credits, 3 undergraduate course credits)
(On the web: http:\\vienna.che.uic.edu\teaching)

Lecture Notes

  • Vectors and Matrices- Basic Concepts (Review) [...]

  • Solution of Linear Equations (Direct Methods) [...]

  • Row and Column Scaling [...]

  • Iterative Methods for the Solution of Linear Equations [...]

  • Conjugate Gradient Method [...]

  • MATLAB Contour plots to define Matrix properties [...]

  • Machine Representation and Control Structures [...]

  • An introduction to Finite Volume Discretization [...]

  • Transport with Convection and Diffusion [...]

  • Zeroes of a Non-Linear Equation [...]

  • Application of Non-Linear Equations in Chemical Engineering [...]

  • Multidimensional Newton Method [...]

  • Newton Method, Step Size Control and Line Search Methods [...]

  • Secant Method (Broyden's Method in Multidimensions) [...]

  • Unconstrained Optimization [...]

  • Constrained Optimization [...]

  • Parameter Estimation (Linear and Non-Linear) [...]

  • Method of Weighted Residuals I [...]

  • Method of Weighted Residuals 2 [...]

  • Spectral Approximation - Part 1 [...]

  • Spectral Approximation - Part 2 [...]

  • Notes on Technical Paper Publication in Journals [...]

  • Zhang, L. and Linninger, A. " Newton, Steepest Descent and Trust Region Methods: Application in Unconstrained optimization and Solution of Nonlinear Equations", Feb., 2005 [...]

  • Xenos, M., and Linninger A.A., "Iterative Methods for Solving Algebraic Systems" UIC-LPPD-030105, April, 2005.[...]


Textbook/Notes:

  • Recommended Texts:

  • “Numerical Mathematics”, A. Quateroni, R. Sacco, F. Salieri, Springer, 1997.
  • Complementary Reading:

  • “Numerical Recipes in C- The Art of Scientific Computing”, Press et al, Cambridge University Press, 1992.
  • Additional material will be handed out in class.