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MAT-51327 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 5 cr
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Courses persons responsible
Robert Piche
Lecturers
Robert Piche
Implementations
| Period 1 | Period 2 | Period 3 | Period 4 | Period 5 | Summer | |
| Lecture | - | - | 3 h/week | 3 h/week | - | - |
| Exercise | - | - | 1 h/week | 1 h/week | - | - |
Objectives
Mathematical theory of the finite element method for partial differential equations.
Content
| Content | Core content | Complementary knowledge | Specialist knowledge |
| 1. | Finite element solution of linear PDE problems (Poisson, heat/diffusion, wave, eigenvalue) | ||
| 2. | Apriori and aposteriori error estimates | ||
| 3. | Direct solution of sparse equations | ||
| 4. | Matlab PDE Toolbox | ||
| 5. | Spectral collocation |
Requirements for completing the course
Active participation in exercises and written solutions to homework exercises.
Evaluation criteria for the course
Study material
| Type | Name | Auhor | ISBN | URL | Edition, availability... | Exam material | Language |
| Book | Partial Differential Equations with Numerical Methods | Stig Larsson & Vidar Thomée | 3-540-01772-0 | Springer 2003 | No | English |
Prerequisites
| Code | Course | Credits | M/R |
| MAT-31090 | MAT-31090 Matrix Algebra 1 | 5 | Recommendable |
| MAT-41140 | MAT-41140 Introduction to Functional Analysis | 7 | Recommendable |
Prequisite relations (Sign up to TUT Intranet required)
Additional information about prerequisites
A working knowledge of Matlab is also required.
Remarks
Taught at most every second year. Teaching in 2006-7 is in periods 3-4 on Wednesdays and Thursdays 10am-noon in Sj202.
Scaling
| Methods of instruction | Hours |
| Lectures | 72 |
| Exercises | 12 |
| Assignments | 48 |
| Total sum | 132 |
Correspondence of content
MAT-51326 Numerical methods for partial differential equations
| Last modified | 02.03.2007 |
| Modified by | Robert Piche |