302385 (v.2) Numerical Analysis 402

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Area:	Department of Mathematics and Statistics
Credits:	25.0
Contact Hours:	3.0
Lecture:	1 x 2 Hours Weekly
Tutorial:	1 x 1 Hours Weekly
Syllabus:	Finite difference methods for PDEs - derivative approximation, SOR and ADI methods, explicit and implicit methods. Finite element methods for PDEs - variational statements, finite element formulation of elliptic and time-dependent problems, two-dimensional element calculations, solution of sparce systems of linear equations - (sparse matrix methods and conjugate gradient method), finite element applications.
Unit Outcomes:	On successful completion of this unit, students are expected to be able to design numerical algorithms and programs for the solutions of parabolic and elliptic boundary value problems using finite difference and finite element techniques; be able to numerically solve various applied mathematical modeling problems governed by partial differential equations, including diffusion process, heat transfer and fluid flows.
Text and references listed above are for your information only and current as of September 30, 2003. Please check with the unit coordinator for up-to-date information.
Unit References:	Becker, Eric B. et.al.,1981. Finite Elements (Volumes I - III), Prentice-Hall, London, Sysney. Oden, J.T., 1976. An Introduction to the Mathematical Theory of Finite Elements, John Wiley & Sons, Newyork, Sydney. Claes Johnson, 1990. Numerical Solution ofPartial Differential Equations by the Finite Element Methods, Cambridge University Press. Huebner H.H. and Thornta E.A., 1982. The Finite Element Method for Engineers, John, Wiley & Son. Smith G.D., 1978. Numerical Solution of Partial Differential Equations - Finite Difference Methods, Clarendon Press, Oxford.
Unit Texts:	No prescribed texts
Unit Assessment Breakdown:	2 assignments 40%, End of semester two-hour examination 60%
Year Location Period Internal Area External Central External 2004 Bentley Campus Semester 2 Y