 Academic Year:
| 2013/4 |
| Owning Department/School:
| Department of Mathematical Sciences |
| Credits:
| 6 |
| Level:
| Honours (FHEQ level 6) |
| Period: |
Semester 2
|
| Assessment:
| CW 25%, EX 75% |
| Supplementary Assessment: |
MA30170 Mandatory Extra Work (where allowed by programme regulations)
|
| Requisites:
| Before taking this unit you must take MA20218 and take MA20219 and take MA20222 |
| Description:
| Aims & Learning Objectives:
Aims:
To teach numerical methods for elliptic and parabolic partial differential equations via the finite element method based on variational principles.
Objectives:
At the end of the course students should be able to derive and implement the finite element method for a range of standard elliptic and parabolic partial differential equations in one and several space dimensions. They should also be able to derive and use elementary error estimates for these methods.
Content:
* Introduction.
* Variational and weak form of elliptic PDEs. Natural, essential and mixed boundary conditions. Linear and quadratic finite element approximation in one and several space dimensions. An introduction to convergence theory.
* System assembly and solution, isoparametric mapping, quadrature, adaptivity.
* Applications to PDEs arising in applications.
* Brief introduction to time dependent problems.
|
| Programme availability: |
MA30170 is Optional on the following programmes:
Department of Computer Science
- USCM-AFM14 : MComp (hons) Computer Science and Mathematics (Full-time) - Year 3
- USCM-AFM14 : MComp (hons) Computer Science and Mathematics (Full-time) - Year 4
- USCM-AKM14 : MComp (hons) Computer Science and Mathematics with Industrial Placement (Full-time with Thick Sandwich Placement) - Year 4
- USCM-AKM14 : MComp (hons) Computer Science and Mathematics with Industrial Placement (Full-time with Thick Sandwich Placement) - Year 5
- USCM-AAM14 : MComp (hons) Computer Science and Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
- USCM-AAM14 : MComp (hons) Computer Science and Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 5
Department of Mathematical Sciences
- USMA-AFB15 : BSc (hons) Mathematical Sciences (Full-time) - Year 3
- USMA-AKB16 : BSc (hons) Mathematical Sciences (Full-time with Thick Sandwich Placement) - Year 4
- USMA-AAB16 : BSc (hons) Mathematical Sciences with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
- USMA-AFB13 : BSc (hons) Mathematics (Full-time) - Year 3
- USMA-AKB14 : BSc (hons) Mathematics (Full-time with Thick Sandwich Placement) - Year 4
- USMA-AFB01 : BSc (hons) Mathematics and Statistics (Full-time) - Year 3
- USMA-AKB02 : BSc (hons) Mathematics and Statistics (Full-time with Thick Sandwich Placement) - Year 4
- USMA-AAB02 : BSc (hons) Mathematics and Statistics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
- USMA-AAB14 : BSc (hons) Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
- USMA-AFB05 : BSc (hons) Statistics (Full-time) - Year 3
- USMA-AKB06 : BSc (hons) Statistics (Full-time with Thick Sandwich Placement) - Year 4
- USMA-AAB06 : BSc (hons) Statistics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
- USMA-AFM14 : MMath Mathematics (Full-time) - Year 3
- USMA-AFM14 : MMath Mathematics (Full-time) - Year 4
- USMA-AAM15 : MMath Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
- TSMA-AFM09 : MSc Mathematical Sciences (Full-time)
- TSMA-APM09 : MSc Mathematical Sciences (Part-time)
- TSMA-AFM08 : MSc Modern Applications of Mathematics (Full-time)
- TSMA-AWM14 : MSc Modern Applications of Mathematics (Full-time incorporating placement)
- TSMA-AFL02 : PG Dip Modern Applications of Mathematics (Full-time)
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