Computational Modelling and Simulation - Specialization

Computational Modelling and Simulation

Computational modelling and simulation is indispensable across science and engineering, providing essential tools to solve complex problems such as fluid dynamics, structural mechanics, and climate prediction. This study line offers a strong grounding in the mathematical prerequisites necessary to tackle both theoretical and practical challenges. Students will gain expertise in developing and applying computational methods to model physical phenomena, interpret results, and drive innovation across diverse scientific and engineering disciplines.

Specialization specific courses

The student must follow the requirements in the general curriculum for the programme. In addition, at least 20 ECTS points are obtained among the following courses:

01622 Advanced Dynamical Systems: Applications in Science and Engineering 5 point Spring F3B (Fri 13-17)
02421 Stochastic Adaptive Control 5 point Spring F3A (Tues 8-12)
02425 Diffusions and stochastic differential equations 5 point Autumn E1B (Thurs 13-17)
02616 Large-scale Modelling 5 point Autumn E3A (Tues 8-12)
02619 Model Predictive Control 5 point Autumn E2B (Thurs 8-12)
02687 Scientific Computing for ordinary and partial differential equations 5 point Spring F1A (Mon 8-12)
02689 Advanced Numerical Methods for Differential Equations 5 point Autumn E2B (Thurs 8-12)

The following courses are recommended for the specialization:

02443 Stochastic Simulation 5 point June
02623 The Finite Element Method for Partial Differential Equations 5 point January
02686 Scientific computing for differential equations 5 point Spring F1B (Thurs 13-17)

Examples of study plans

Four examples are shown: two focusing on dynamic system and two focusing on numerical PDE. Both include study plans for students beginning in September or in February.

The study plans are examples only. Students are free to exchange the shown courses with other courses if the general requirements for the curriculum in mathmatical modelling and computation and the specialisation are satisfied. The proposed plans fulfil requirements of the MMC curriculum.

Study plan with focus on dynamic system - September start

Polytechnical foundation
Programme specific courses
Thesis
Electives
1.Semester
01617
Introduction to Dynamical Systems
5 point
12105
Quantitative methods to assess... Quantitative methods to assess sustainability (Polytechnical Foundation)
5 point
02407
Stochastic Processes - Probability 2
5 point
elective course
5 point
elective course
5 point
38400
Innovation in Engineering (Polytechnical... Innovation in Engineering (Polytechnical Foundation)
5 point
2.Semester
02613
Python and High-Performance Computing
5 point
01622
Advanced Dynamical Systems: Applications... Advanced Dynamical Systems: Applications in Science and Engineering
5 point
Innovation II
5 point
02612
Constrained Optimization
5 point
02421
Stochastic Adaptive Control
5 point
02443
Stochastic Simulation
5 point
3.Semester
02425
Diffusions and stochastic differential... Diffusions and stochastic differential equations
5 point
02619
Model Predictive Control
5 point
elective course
5 point
elective course
5 point
elective course
5 point
elective course
5 point
4.Semester
Thesis
30 point

Study plan with focus on dynamic system - February start

Polytechnical foundation
Programme specific courses
Thesis
Electives
1.Semester
02613
Python and High-Performance Computing
5 point
12101
Quantitative methods to assess... Quantitative methods to assess sustainability (Polytechnical Foundation)
5 point
02612
Constrained Optimization
5 point
02421
Stochastic Adaptive Control
5 point
02443
Stochastic Simulation
5 point
38404
Innovation in Engineering (Polytechnical... Innovation in Engineering (Polytechnical Foundation)
5 point
2.Semester
01617
Introduction to Dynamical Systems
5 point
02425
Diffusions and stochastic differential... Diffusions and stochastic differential equations
5 point
02619
Model Predictive Control
5 point
programme specific course
5 point
Innovation II
5 point
elective course
5 point
3.Semester
01622
Advanced Dynamical Systems: Applications... Advanced Dynamical Systems: Applications in Science and Engineering
5 point
elective course
5 point
elective course
5 point
elective course
5 point
elective course
5 point
elective course
5 point
4.Semester
Thesis
30 point

Study plan with focus on numerical PDE - September start

Polytechnical foundation
Programme specific courses
Thesis
Electives
1.Semester
01617
Introduction to Dynamical Systems
5 point
12105
Quantitative methods to assess... Quantitative methods to assess sustainability (Polytechnical Foundation)
5 point
Core competence course on... Core competence course on statistics/optimization
5 point
elective course
5 point
elective course
5 point
02623
The Finite Element Method for Partial... The Finite Element Method for Partial Differential Equations
5 point
2.Semester
02613
Python and High-Performance Computing
5 point
01622
Advanced Dynamical Systems: Applications... Advanced Dynamical Systems: Applications in Science and Engineering
5 point
02687
Scientific Computing for ordinary and... Scientific Computing for ordinary and partial differential equations
5 point
Core competence course on... Core competence course on statistics/optimization
5 point
elective course
5 point
38402
Innovation in Engineering (Polytechnical... Innovation in Engineering (Polytechnical Foundation)
5 point
3.Semester
Innovation II
5 point
02616
Large-scale Modelling
5 point
02689
Advanced Numerical Methods for... Advanced Numerical Methods for Differential Equations
5 point
elective course
5 point
elective course
5 point
elective course
5 point
4.Semester
Thesis
30 point

Study plan with focus on numerical PDE - February start

Polytechnical foundation
Programme specific courses
Thesis
Electives
1.Semester
12101
Quantitative methods to assess... Quantitative methods to assess sustainability (Polytechnical Foundation)
5 point
02613
Python and High-Performance Computing
5 point
02687
Scientific Computing for ordinary and... Scientific Computing for ordinary and partial differential equations
5 point
Core competence course on... Core competence course on statistics/optimization
5 point
elective course
5 point
38402
Innovation in Engineering (Polytechnical... Innovation in Engineering (Polytechnical Foundation)
5 point
2.Semester
01617
Introduction to Dynamical Systems
5 point
02616
Large-scale Modelling
5 point
02689
Advanced Numerical Methods for... Advanced Numerical Methods for Differential Equations
5 point
Innovation II
5 point
Core competence course on... Core competence course on statistics/optimization
5 point
02623
The Finite Element Method for Partial... The Finite Element Method for Partial Differential Equations
5 point
3.Semester
01622
Advanced Dynamical Systems: Applications... Advanced Dynamical Systems: Applications in Science and Engineering
5 point
elective course
5 point
elective course
5 point
elective course
5 point
elective course
5 point
elective course
5 point
4.Semester
Thesis
30 point

Specializations are merely recommended ways of choosing the courses in the curriculum. Applicants are not admitted to a specialization but to the programme and it is possible to choose among all the courses in the curriculum following the directions given. However, if a specialization has been fulfilled the title of the specialization may be added to the diploma.