MA30170/MA50170: Numerical Solution of PDEs I

Lecturer: Robert Scheichl

This is the home page for the Department of Mathematical Sciences units on the Numerical Solution of Partial Differential Equations I. There are both a final year undergraduate and an MSc level version of this unit. The MSc Level version contains some additional material which the students have to learn through independent study.

Aims:   To teach numerical methods for elliptic and parabolic partial differential equations via the finite element method based on variational principles.

The course will teach you how 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. In particular a large part of the course will be involved with deriving and using elementary error estimates for these methods.

Please email me or come and see me if you have any questions!

This page will contain lecture notes, various handouts and problem sheets, as well as information on the assignments.  

Unit Information sheet handed out at first lecture.

Inspirational Examples - Real Applications of Numerical Solution of PDEs .

IMPORTANT Announcements !

• Feb 2nd. Due to a lecture clash for a significant number of students, the Tuesday lecture has now moved to 1.15pm in 3WN3.7. This takes effect from this week!
• Feb 9th. There will be an extra lecture/problem class today at 12.15pm in 3WN3.7. This is to cover for the cancelled lecture and problem class last week.
• Feb 10th. Model solutions to problem sheets available below (usually 1 week after due date). Solutions to Sheet 1 available now.
• Feb 26th. Assignment now available below. Please email me if you have any problems/qiuestions, and copy the email to S.D.Buckeridge@bath.ac.uk.
• Feb 26th. There will be no lectures in Week 6 (2-6 Mar). There will be a short problem class on Thursday at 11.15am in 8W2.1.
• Mar 20th. Problem Sheet 6 is now available online. Sorry for the delay.
• May 18th. Model solutions for the assignment available below.

Assignment

Code:   assignment.zip   Individual files are available in the directory assignment.

You can also download a short manual describing each of the m-files.

Model solutions for the assignment available here!

Matlab Help
Short Manual	pdf
Full Length Manual	pdf
Manual for FEM Code fem0 (Dirichlet)	pdf
Manual for FEM Code femg	pdf

Lecture Notes
Lecture Notes	pdf

Problem Sheet Solutions
#	Available		Word Document	Matlab Programs
1	Week 3		pdf
2	Week 4		pdf	pbsht2.m
3	Week 5		pdf	pbsht3q1.m pbsht3_table.m  pbsht3q2.m  f_f.m f_k.m
4	Week 6		pdf	psheet5c.m initial_mesh.m source_term.m
5	Week 7		pdf
6	Week 10		pdf
7	Week 10		pdf

Available from the library webpage.