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Numerical Assignment: General notes

Key points:

• Part I: Check detailed approach to solve the problem numerically (about 70% of whole mark):  please refer to the chapters of “process modeling” and “numerical methods” in the course notes for more information
• Descretize the differential equation. One should explain what method (or scheme) is used. Implicit or explicit? Central difference or forward difference? And so on…
• Set up the algebra equation in matrix format (simple equation with subscript will be enough)
• Specify what schemes will be used to solve the discretized algebra equation (Jacobi-Richardson scheme, Gauss-Siedel or Successive relaxation scheme or SOR scheme?)OR Gaussian elimination?
• Specify the convergence criteria if iterative scheme is employed.
• Specify the initial condition (if applicable) and boundary condition explicitly
• Explain general step-by-step (including iteration step) procedure of numerical solution.

• Part II: Check the numerical program (about 15% of whole mark)
• Doesn’t matter what language you use (C, C++, Fortran and etc)
• Agreement of numerical scheme and programming itself will be briefly checked.
• Submit the assignment with the program as appendix.

• Part III: Check overall solution (15%)
• Check to see if the problem has been solved correctly or not in general
• Graph
• Numerical value

Please note that more marks have been placed on part I than on the part II because the programming itself is a one-to-one relation with the numerical scheme. Also, the numerical scheme tells you how to solve (approach) the problem numerically.

- Tae Sung Ha