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 |
Prerequisite(s): | 302282 (v.1) Numerical Analysis 301 or any previous version
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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. |
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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. |
Texts and references listed below are for your information only and current as of September 30, 2003. Some units taught offshore are modified at selected locations. Please check with the unit coordinator for up-to-date information and approved offshore variations to unit information before finalising study and textbook purchases. |
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 |
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Unit Assessment Breakdown: | 2 assignments 40%, End of semester two-hour examination 60% |
Field of Education: | 10100 Mathematical Sciences (Narrow Grouping) | HECS Band (if applicable): | 2 |
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Extent to which this unit or thesis utilises online information: | Not Online | Result Type: | Grade/Mark |
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Availability
| Year | Location | Period | Internal | Area External | Central External | | 2004 | Bentley Campus | Semester 2 | Y | | |
Area
External | refers to external course/units run by the School or Department, offered online or through Web CT, or offered by research. |
Central
External | refers to external course/units run through the Curtin Bentley-based Distance Education Area |
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