TMA026 Partial differential equations 2001

TMA026 Partial differential equations, advanced course, 2001

Plan of lectures and exercises

Lectures

Sections in parentheses are less important for this course. But you may choose hand-in exercises from these sections if you wish.

week 1: chapter 1, appendix A.1, A.2, chapter 2
week 2: chapter 3
week 3: chapter 4.1, (4.2), 5, (5.7)
week 4: chapter (7), 8
week 5: chapter 9.1, (9.2), 10
week 6: chapter 11
week 7: chapter 12.1, 12.2, (12.3), 13

Exercises presented in class

week 1: 2.1, 2.3(a), 2.5 (b)
week 1: A.5, A.7
week 2: 3.5, 3.8
week 2: 3.10, regularity of the elliptic problem
week 3: 5.5, 5.9
week 3: Chapter 5.5, 5.6
week 4: 7.4, 7.11
week 4: Chapter 8.4, problem 8.15, 8.12
week 5: Chapter 9.1, problem 9.4, 9.5
week 5: 10.3, smooth data error estimate
week 6: problem 11.1, 11.5
week 6: Chapter 12
week 7: discontinuous Galerkin method
week 7: problem 13.3, Crank-Nicolson method

Homework

I expect you to hand in at least two problems each week. These problems will give partial credit in the examination. Hand in one set of exercises every Monday following the plan of the lectures.

I will also appreciate if you report mistakes and misprints in the textbook and make suggestions for improvement, especially new exercises.

Written exam: Friday October 25, 2002, 8.45-12.45 in M (Mechanical Engineering building).

Old exam: 981023 solutions

Older exams: 901101 solutions, 921104 solutions, 931104 solutions, 940108
These exams were written for another course which only covered time-dependent problems.

/stig

Last modified: Sat Oct 19 11:51:28 MET DST 2002