Kursussøgning, efter- og videreuddannelse – Københavns Universitet

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Kursussøgning, efter- og videreuddannelse

Scientific Computing

Practical information
Study year 2016/2017
Block 1
Programme level Full Degree Master
Course responsible
  • Stig Skelboe (7-7a726c7369766c4775697035727c356b72)
  • The Niels Bohr Institute
  • Department of Chemistry
Course number: NDAA07012U

Course content

This course focuses on the general techniques and ideas found in professionally written numerical software, as well as the general concepts one needs to know for applying suitable software in a qualified manner to computational problems. Thus, the course is aimed much more at potential users of mathematical software than at potential creators of such software.

Learning outcome

At course completion, the student should be able to:

  • Choose an appropriate numerical method for the solution of the problem or sub-problem. The numerical method is selected among the methods presented in the course and it should be chosen with respect to the requirements of the model.
  • Evaluate the numerical method with respect to potential accuracy, computational efficiency, robustness and memory requirements.
  • Perform the required computation using Matlab or similar systems.
  • Evaluate the quality of the solution with respect to the accuracy obtained and the sensitivity to model parameter variations.
  • Estimate whether the quality of the solution is adequate relative to the desired use of the model.
  • Analyse the reasons of a possible total failure of a method applied to a concrete problem.


CompetencesThe methods presented in the course enable the student to perform numerical analysis of simple mathematical models from science in order to solve concrete problems and to evaluate the results obtained. The solution will mainly be based on Matlab or similar systems.




Presentation and numerical analysis of simple mathematical models from science. Presentation of ideas behind and motivation for fundamental numerical methods for the solution of: linear and nonlinear equations, linear and nonlinear optimization, eigenvalue problems, initial value problems for ordinary differential equations, partial differential equations and the fast Fourier transform.



Recommended prerequisites

Corresponding to the courses MatIntro and LinAlg. Programming ability is also required . Further more ability corresponding to at least one of the following prerequisites: An1, MatF, 1st year computer science.


Restricted elective for specialisation "Physics".
It is expected that the student brings a laptop
Necessary software:
Windows: Xming
Xming:http:/​/​sourceforge.net/​projects/​xming/​ & http:/​/​www.straightrunning.com/​XmingNotes/​
For support please contact SCIENCE IT, e-mail: it-support@science.ku.dk, 35 32 21 00
Linux:X11 runs automatically
MAC: For all systems since OS 10.5 you can use X11, which you can download for free at http:/​/​xquartz.macosforge.org/​landing/​.
X11 is a part of OS X in Leopard and Lion.

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MSc Programme in Nanoscience

MSc Programme in Physics


Study Board of Physics, Chemistry and Nanoscience

Course type

Single subject courses (day)


Stig Skelboe, e-mail: skelboe@nbi.ku.dk, tlf.nr.: 3532 1449
Kurt Mikkelsen, e-mail: kmi@kemi.ku.dk, tlf.nr.: 3532 0251
Åke Nordlund, e-mail: aake@nbi.dk tlf.nr.: 3532 5968


1 block


---- SKEMA LINK ----

Teaching and learning methods

Lectures, exercises and 4 small projects. Duration 9 weeks.


No restriction to number of participants




Michael T. Heath: Scientific computing. An introductory survey, 2nd ed. from McGraw-Hill.


Category Hours
Lectures 32
Practical exercises 16
Project work 100
Preparation 58
English 206


Type of assessment

Continuous assessment
Independent evaluation of 4 projects. The final grade is the average of the grades of each of the 4 projects.

Marking scale

7-point grading scale

Criteria for exam assessment

See Skills.

Censorship form

No external censorship
More internal examiners


Oral examination, 30 minutes.

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