NSCPHD1081 Numerical solution of differential equations: Finite difference methods (NumDiff)
PhD programme in Natural Science and IT
PLEASE NOTE
The PhD course database is under construction. If you want to sign up for this course, please click on the link in order to be re-directed. Link: https://phdcourses.ku.dk/nat.aspx
The knowledge topics in the learning outcome are introduced and work is done on building the expected skills and competences.
Knowledge about
the theory of and computer solution tools for certain standard
but also examples of more advanced (based on highest level of
international research) difference methods for the numerical
solution of the following basic types of ordinary and partial
differential equations:
1. Initial value problems for ODE’s.
2. Boundary value problems for ODE’s
3. Diffusion problems for 2nd order PDE’s
4. Advection problems for 1st order PDE’s
5. Wave problems for 2nd order PDE’s
6. Elliptic problems for 2nd order PDE’s.
Skills to
1. apply the methods and tools within the course subject.
2. access theoretical and practical problems and select appropriate
solution methods based on theoretical knowledge.
3. inform about problems and solution methods to equals and
non-specialists or collaborators and end users.
Competences to independently and professionally
1. participate in individual and interdisciplinary collaboration
within the course subject.
2. extend own competences within the course
subject.
The course is additionally intended for the bachelorstudies in Actuarial Mathematics, Mathematics-Economics, Mathematics, Computer Science, Physics, Chemistry and other BSc, MSc and PhD programmes with the relevant prerequicites.
Further information about NumDiff is contained in the following "click-and-print" PDF-document: NumDiff.pdf accessible from http://www.math.ku.dk/~hugger/
- Category
- Hours
- Exam
- 46
- Lectures
- 50
- Preparation
- 76
- Theory exercises
- 34
- Total
- 206
- Credit
- 7,5 ECTS
- Type of assessment
- Written assignment, 2 weeks (half time)
- Exam registration requirements
All 7 written weekly assignments posed during the course must be approved and valid at the deadline for the course responsible to reject participation. (In 12/13 this was Monday in week 8 of the block).
The written assignments will be different for Ph.D.-students than for BSc-students.
- Aid
- All aids allowed
- Marking scale
- passed/not passed
- Censorship form
- No external censorship
Several internal examiners
- Re-exam
Written assignment, 1 week (full time). To parcitipate in the reexam all not approved/not valid assignments must be handed in again one week before the beginning of the reexam period at the latest.
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she
has mastered the learning outcome of the course.
With reference to terms and numbering in the field "Learning
Outcome" the following criteria for assessment are applied:
Knowledge:
Knowledge points are assessed only when they are relevant for the
exam project. When relevant a knowledge point is valued according
to the extent of knowledge presented.
Skills:
Skill points 1 and 2 are valued according to the extent of skills
presented.
Skill point 3 is assessed through the exam registration
requirements and not through the exam.
Competencies:
Competency point 1 is assessed through the exam registration
requirements and not through the exam.
Competency 2 is valued based on the extent to which the knowledge
from different subjects has been combined and extended in the
application to the exam project.
Course information
- Language
- English
- Course code
- NSCPHD1081
- Credit
- 7,5 ECTS
- Level
- Ph.D.
- Duration
- 1 block
- Placement
- Block 3
- Schedule
- A
- Course capacity
- Ingen begrænsning
- Continuing and further education
- Study board
- Natural Sciences PhD Committee
Contracting department
- Department of Mathematical Sciences
Course responsibles
- Jens Hugger (6-6d7a6c6c6a77457266796d33707a336970)
- Francois Bernard Lauze (8-6b77667368746e7845696e33707a336970)
Lecturers
Jens Hugger