# NDAK12006U Computational Methods in Simulation (CMIS)

MSc Programme in Computer Science

MSc Programme in Physics

Computational methods in simulation is an important computer
tool in many disciplines like bioinformatics, eScience, 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:
bio-mechanical modeling of humans such as computing the stress
field of bones or computational fluid dynamics solving for motion
of liquids, gasses and thin films. Dealing with 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 which 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.

The aim of this course is to create an overview of typically used
simulation methods and techniques. The course seek to give insight
into the application of methods and techniques on examples such as
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 seek 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 on a theoretical level but also on an
implementation level with focus on computer science and good
programming practice.

There will be weekly programming exercises where students will
implement the algorithms and methods introduced from theory and
apply their own implementations to case-study problems like
computing the motion of a 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.

Knowledge

- Computer Simulation
- Theory of discretization methods (FEM, FVM, FDM etc)

Skills

- Apply finite element method (FEM) on a PDE
- Apply finite volume method (FVM) on a PDE
- Apply finite difference method (FDM) on a PDE

Competences

- Apply a discretization method to a given partial differential equation (PD)E to derive a computer simulation model
- Implement a computer simulator using a high level programming language

See Absalon when the course is set up.

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.

As
an exchange, guest and credit student - click here!

Continuing Education - click here!

- Credit
- 7,5 ECTS
- Type of assessment
- Continuous assessmentContinuous assessment based on 7-8 written assignments weighted equally.
- Aid
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
Several internal examiners
- Re-exam
Resubmission of uncompleted written assignments and a 15 minute oral presentation without preparation. The assignments must be submitted no later than two weeks before the date of the re-exam.

The part-examinations/assignments must be individually approved. The final grade is based on an overall assesment.

##### Criteria for exam assesment

In order to obtain the grade 12 the student should convincingly and accurately demonstrate the knowledge, skills and competences described under Learning Outcome.

- Category
- Hours
- Lectures
- 21
- Preparation
- 36
- Exercises
- 49
- Project work
- 100
- Total
- 206

### Course information

- Language
- English
- Course code
- NDAK12006U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 4
- Schedule
- C
- Course capacity
- No limit
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science

##### Contracting department

- Department of Computer Science

##### Course responsibles

- Kenny Erleben (5-7b757e7e895074793e7b853e747b)