Postgraduate Course: Numerical Techniques of Partial Differential Equations (MATH11068)
Course Outline
School |
School of Mathematics |
College |
College of Science and Engineering |
Course type |
Standard |
Availability |
Available to all students |
Credit level (Normal year taken) |
SCQF Level 11 (Postgraduate) |
Credits |
7.5 |
Home subject area |
Mathematics |
Other subject area |
Financial Mathematics |
Course website |
None |
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Course description |
The aim of this course is to introduce students to numerical techniques for solving PDEs. For financial applications the need is for the diffusion equation and for free boundary value problems. |
Entry Requirements
Pre-requisites |
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Co-requisites |
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Prohibited Combinations |
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Other requirements |
None
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Additional Costs |
None |
Course Delivery Information
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Delivery period: 2010/11 Semester 2, Not available to visiting students (SS1)
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WebCT enabled: No |
Quota: None |
Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
No Classes have been defined for this Course |
First Class |
First class information not currently available |
Summary of Intended Learning Outcomes
On completion of this course the student should be able to:
- Understand the techniques outlined above
- implement these numerical methods using a suitable computer package
- hold a critical understanding of modern numerical techniques for solving PDEs
- have a conceptual understanding of the relation between consistency, stability and convergence in numerical schemes
- understand the explicit, implicit and Crank-Nicolson finite difference methods for solving one-dimensional PDEs
- compute numerical solutions for simple problems involving PDEs
- demonstrate a knowledge of some methods for solving higher dimension PDEs
- find problem solutions in groups
- plan and organize self-study and independent learning
- implementation of numerical methods using a suitable computer package such as Matlab
- communicate effectively problem solutions to peers. |
Assessment Information
Examination 100% |
Please see Visiting Student Prospectus website for Visiting Student Assessment information |
Special Arrangements
Not entered |
Contacts
Course organiser |
Dr Sotirios Sabanis
Tel: (0131 6)50 5084
Email: S.Sabanis@ed.ac.uk |
Course secretary |
Mrs Katherine Mcphail
Tel: (0131 6)50 4885
Email: k.mcphail@ed.ac.uk |
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copyright 2010 The University of Edinburgh -
1 September 2010 6:19 am
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