Entry requirements

Scientific Computing I and II

Learning outcomes

After the finished course the student is expected to

* account for how numerical methods can be developed

* apply the achieved practical experiences on physical problems

* account for to which scientific problems the different methods can be applied

* know the role computer models and simulations have in investigations of physical systems

Content

Review and extension of numerical methods including: Numerical differentiation and integration, Root finding, Special functions and Gaussian quadrature, Solving ordinary and partial differential equations, Stochastic methods esp. Monte Carlo simulations, Matrix operations and Eigenvalue problems, Spectral anaylsis esp. Fast Fourier Transform, Lattice methods, Numerical renormalisation, Symbolic computing. The course is focused on technical aspects of computational physics, and involves design and writing of software for solving physics proplems, esp. Quantum Physics, Nuclear Physics, Molecular Dynamics, Statistical Physics, Plasma Physics, Hydrodynamics and Astrophysics. The role of high performance computing and visualisation in Computational Physics.

Instruction

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

Assessment

Computer laboratory, corresponding to 2.5 credits and project work, corresponding to 5 credits. The final grade on the course depends on the student's commitment and understanding of the subject.