Upp till kursens hemsida.
Information on 2D1255,
Numerisk behandling av differentialekvationer II
Latest News
NO LONGER UPDATED 070118
NEW HOME PAGE
Under Construction 070104
Course responsible Jesper Oppelstrup jespero@nada.kth.se
Last course's homework problems:
problemset 5, together with some
useful lines in
matlab (Hint for the analysis in problemset 5: consider constant u first),
problemset 4,
problemset 3,
and
problemset 2.
Some improved hints on how to solve
problemset 1.
There is an
errata for
the book
(LeVeque: Finite Volume Methods for Hyperbolic Problems).
Find earlier displayed information here.
About the Course
The course treats the numerical solution of differential
equations. It emphasizes partial differential equations (PDE)
solved by finite difference methods and finite volume schemes.
Well-posedness, stability and other properties of schemes for
hyperbolic systems of equations are a major concern, as well
as elliptic and parabolic equations.
The choice of boundary conditions has an impact on stability
and well-posedness, and will be discussed.
The goal of the course is to give students
- Understanding of the mathematical concepts, properties
and tools for analyzing differential equations and their discretizations, and
ability to carry out the manipulations and calculations required.
- Working knowledge and experience of implementing FD
schemes with various boundary conditions
- Experience of carrying out a complete solution of a computational
problem - formulation, analysis, method choice, implementation, validation,
and interpretation and presentation of results.
The theoretical part introduces model equations and Fourier - Continuous
as well as Discrete - techniques for the analysis of equations and schemes.
The theory is complemented by a set of homework, study problems, and computer
labs on the formulation, analysis, and solution of
model problems from engineering science.
The students are expected to have a solid background of calculus,
differential equations, and linear algebra; a basic course in
numerical analysis is required, as is familiarity with the NADA
computer environment and MATLAB.
Instructors
Jesper Oppelstrup,
jespero@nada.kth.se
.
Mohammad Motamed,
mohamad@nada.kth.se
.
Office hours: by agreement.
Literature
LeVeque: Finite Volume Methods for Hyperbolic Problems
, Cambridge, 2002,
Other course materiel, such as
- homework problems,
- a set of examination questions
- additional material and reading hints,
will be
distributed on lectures and downloadable from this home page.
CSC student office DELFI
Oscars Backe 2, level 2, open Mo-Fr 9.45-11.30, Mo-Thu 12.45-14.15,
Tel: 790 8077.
Examination
To pass the student must
- Pass a written examination. (2 cred)
The exam will consist of a selection of the distributed examination questions.
- Solve the homework problems. (2 cred).
Written reports of good quality must be handed in on given
deadlines. You can find a latex file with a skeleton for a
report in the course archive.
Students will be asked to give a short oral presentation classroom-style
of (parts of) the solutions.
- Complete a project (1 cred) including classroom presentation.
For the problem sets the students are encouraged to work
in groups of two, each group needs only to hand in one report, but the
oral account is given individually. The project is also done in groups
of two. All group members must be present at the presentation.
The grade on the course will be based on the written examination, the
homework solutions and the project. You do not need to register for the exam.
Schedule
The schedule is available from KTH home page Time Edit "Schemagenerator".
Lecture content plans will appear here shortly,
2D1255 spring 07
Numerical Differential Equations II
D41 : Lindstedtsv. 17
D31,34 : Lindstedtsv. 5
E36,4V4Gul: Osquars B. 2
When What Where
==========================
Ons 17 jan 10 F1 D41
Tor 18 jan 10 F2 D41
Tis 23 jan 13 F3 D31
Tis 30 jan 13 F4 D31
Fre 2 feb 10 Lab 4V4Gul
Tis 6 feb 13 F5 D31
Fre 9 feb 13 Lab 4V4Gul
Tis 13 feb 13 F6 D41
Fre 16 feb 13 Lab 4V4Gul
Tis 20 feb 10 F7 D41
Fre 23 feb 13 Lab 4V4Gul
Tis 27 feb 10 F7 D41
Break
Tis 20 mar 10 F8 D31
Fre 23 mar 10 Lab 4V4Gul
Tis 27 mar 10 F9 D31
Fre 30 mar 10 Lab 4V4Gul
Tis 10 apr 10 F10 E36
Fre 13 apr 10 Lab 4V4Gul
Tis 17 apr 10 F11 E36
Fre 20 apr 10 Lab 4V4Gul
Tis 24 apr 10 F12 E36
Fre 27 apr 10 Lab 4V4Gul
13 Lab 4V4Gul
Tis 8 maj 13 F13 E36
Tor 10 maj 10 F14 D34
============================
Mån 21 maj 8:00-13:00 Exam B22, B23
Registration and "course join" in RES
You must register with your Sektions Kansli to take this course. Please do
so as soon as possible!. PhD students from other schools,
please contact the course responsible ASAP.
You must also, as soon as you have decided to
complete the course, register for participation in the CSC RES
system. Homework, examination grades, etc., will be recorded and available
to students ONLY in this way, and with some delay, in the web-based
system "Mina Sidor".
In the CSC unix system, upon login , do
res checkin ndiff2-07
and
course join ndiff2-07
When you have finished the course, exit the registration by
course leave ndiff2-07
A course evaluation will be conducted via www from this home page, details
to appear here shortly.
Info directory
The course archive /info/ndiff2-07
will probably stay empty,
the stuff you need will be downloadable from this home page.
Upp till kursens hemsida.
Sidansvarig: Jesper Oppelstrup <jespero@nada.kth.se>
Senast ändrad 17 januari 2007
Tekniskt stöd: <webmaster@nada.kth.se>