Simulation of Complex Dynamical Systems

10 credits

Syllabus, Master's level, 1FA241

A revised version of the syllabus is available.
Code
1FA241
Education cycle
Second cycle
Main field(s) of study and in-depth level
Physics A1N
Grading system
Pass with distinction (5), Pass with credit (4), Pass (3), Fail (U)
Finalised by
The Faculty Board of Science and Technology, 15 March 2007
Responsible department
Department of Physics and Astronomy

Entry requirements

Scientific Computing I and II.

Learning outcomes

After the finished course the student is expected to

* have obtained a knowledge of various numerical methods

* developed practical experience in their applications to complex systems, focusing on technical aspects

* have gained a knowledge about the importance of complex systems in modern science

* have gained knowledge about the role of computer simulations in providing understanding of such systems, while also developing an appreciation for the difficulties and limitations involved

Content

Numerical methods and software for simulations; Realistic projectile motion; Oscillatory motion; Chaotic motion of dynamical systems; Few-body and Many-body problems; Random systems and processes; Potentials and Fields; Normal modes and waves; Fractals and Kinetic growth models; Measuring Chaos; Complex systems, e.g. Self-organised critical phenomena, The Hopfield model and Neural networks and the brain, Genetic Algorithms, Cellular Automata, Protein folding, Lattice gas models of fluid flow. Role of High performance computing and Visualisation in simulation of complex systems.

Instruction

Strong emphasis on computer laboratory and project work; also lectures and seminars.

Assessment

Computer laboratory, corresponding to 6.5 credits and project work, corresponding to 3.5 credits.

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