Computational Methods in Simulation (CMIS)
Computational methods in simulation are an important computer
tool in many disciplines like bioinformatics, scientific computing,
and computational physics, computational chemistry, computational
biology, computer animation, and many more. A wide range of
problems can be solved using computational methods like
biomechanical modeling of humans such as computing the stress field
of bones or computational fluid dynamics solving for the motion of
liquids, gasses, and thin films. Dealing with the motion of atoms
and molecules using molecular dynamics. Computing the dynamic
motion of Robots or mechanical systems and many more.
This course will build up a toolbox of simulation methods that the student can use when building solutions in his or her future studies. Therefore this course is an ideal supplement for students coming from many different fields in science.
This course aims to create an overview of typically used simulation methods and techniques. The course seeks to give insight into the application of methods and techniques on examples such as the motion of deformable models, fluid flows, heat diffusion, etc. During the course, the student will be presented with mathematical models such as a system of partial differential equations. The course seeks to teach the student the classical approaches to reformulate and approximate mathematical models in such a way that they can be used for computations on a computer.
This course teaches the basic theory of simulation methods. The focus is on deep learning of how the methods covered during the course works. Both at a theoretical level and also at the implementation level with a focus on computer science and good programming practice. Example teaching material is available from
There will be weekly programming exercises where students will
implement the algorithms and methods introduced from theory and
apply their implementations to case-study problems like computing
the motion of gas or granular material.
The course will cover topics such as finite difference approximations (FDM), finite volume method (FVM) and finite element method (FEM), etc.
MSc Programme in Computer Science
MSc Programme in Physics
- Computer Simulation
- Theory of discretization methods (FEM, FVM, FDM, etc)
- Apply the finite element method (FEM) on a PDE
- Apply the finite volume method (FVM) on a PDE
- Apply the finite difference method (FDM) on a PDE
- Apply a discretization method to a given partial differential equation (PDE) to derive a computer simulation model
- Implement a computer simulator using a high-level programming language
A mixture of lectures, study groups, and project group work with individual hand-ins.
See Absalon when the course is set up.
It is expected that students know how to install and use Python
or Matlab by themselves. Any programming language is allowed, but
we only offer help and teacher solutions in Python and Matlab. It
is also expected that students know what matrices and vectors are
and that students can differentiate vector functions.
Academic qualifications equivalent to a BSc degree is recommended.
Theorems like fundamental theorem of calculus, mean value theorem or Taylors theorem will be used during the course. The inquisitive students may find more in-depth knowledge from Chapters 2, 3, 5, 6 and 13 of R. A. Adams, Calculus, 3rd ed. Addison Wesley.
There will be written individual feedback on hands-ins. Oral feedback consists of plenum collectively feedback discussions about common trends and mistakes in hands-ins. The flipped classroom offers students many possibilities for their initiative to discuss their learning progress and learning challenges with teachers as a continuous feedback option.
PhD’s can register for MSc-course by following the same procedure as credit-students, see link above.
- 7,5 ECTS
- Type of assessment
Oral examination, 30 minutter uden forberedelsestid
- Type of assessment details
- Oral examination of 30 minutes without preparation. The exam takes an outset in theory taught over the course. Students should be able to derive theory/math on the blackboard during the examination
- Exam registration requirements
To qualify for the exam 3 out of a maximum of 4 short reports, which can be made as a group or as individual reports, should be submitted and passed. The written reports should be maximally 10 pages.
- Without aids
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
Several internal examiners
The reexam format and qualification for reexam are the same as for the regular exam
Criteria for exam assessment
To obtain the grade 12 the student should convincingly and accurately demonstrate the knowledge, skills, and competences described under Learning Outcome.
Single subject courses (day)
- Project work
- Course number
- 7,5 ECTS
- Programme level
- Full Degree Master
- Block 4
- Study Board of Mathematics and Computer Science
- Department of Computer Science
- Faculty of Science
- Kenny Erleben (5-7b757e7e895074793e7b853e747b)
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Courseinformation of students