Model analysis II

2021/2022
Programme:
Nuclear Engineering, Second Cycle
Year:
1. year
Semester:
second
Kind:
optional
ECTS:
8
Language:
slovenian
Hours per week – 2. semester:
Lectures
2
Seminar
0
Tutorial
3
Lab
0
Prerequisites

Completed Model Analysis I course.

Content (Syllabus outline)

Harmonic analysis (method of maximum entropy, linear prediction)
Ordinary differential equations (trajectories in gravitational field, nonlinear dynamics, atomic models of self-consistent field)
Elliptic problems (potentials, relaxation method, finite element method, fundamental and generalized eigenvalue problem),
Hydrodynamic models (boundary element method, vorticity).

Readings

I. Kuščer, A. Kodre: Matematične metode v fiziki in tehniki, DMFA, Ljubljana 1994.
S. Širca, M. Horvat, Računske metode za fizike, DMFA, Ljubljana 2011.
S. Širca, M. Horvat, Computational Methods for Physicists, Springer, Berlin 2012.
W.H. Press, B.P.Flannery, S.A.Teukolsky, W.T.Vetterling: Numerical Recipes, Third Edition, Cambridge University Press, Cambridge 2007.
J.W. Demmel: Uporabna numerična linearna algebra, DMFA, Ljubljana 2000.
C.A.J. Fletcher: Computational Techniques for Fluid Dynamics, Springer, Berlin 1996.

Objectives and competences

Ability to model trajectories and fields. Acquaintance and selection of efficient and stable algorithms.

Intended learning outcomes

Knowledge and understanding:

Knowledge of model procedures in integrating trajectories in vector fields, set of methods to model potentials.

Application:

The ability to model and integrate fields.

Reflection:

Understanding the relation between the physical phenomenon and its model; the reflection of complexity.

Transferable skills:

Presentation of data and the results of their model analysis; more complex data visualisations. Ability to handle computer algorithms with large time and memory requirements.

Learning and teaching methods

Lectures, exercises, homework, consultations.

Assessment

A total score of weekly projects, plus the score of the final project
grading: 5 (fail), 6-10 (pass) (according to the Statute of UL)

Lecturer's references

ŠIRCA, Simon, HORVAT, Martin. Computational methods for physicists : compendium for students, (Graduate texts in physics). Berlin; Dordrecht: Springer, 2012.

ŠIRCA, Simon, HORVAT, Martin. Računske metode za fizike, DMFA - založništvo, 2011

Jefferson Lab PVDIS Collaboration, MIHOVILOVIČ, Miha, ŠIRCA, Simon, et al. Measurement of parity violation in electron-quark scattering. Nature, 2014, vol. 506, str. 67-70.

SUBEDI, R., POTOKAR, Milan, ŠIRCA, Simon, et al. Probing cold dense nuclear matter. Science, 2008, vol. 320, str. 1476-1478.

GAYOU, O., ŠIRCA, Simon, et al. Measurement of G(Ep)/G(Mp) in (e)over-right-arrowp -> e(p)over-right-arrow to Q(2)=5.6 GeV2. Physical review letters, 2002, vol. 88, str. 092301-1-092301-5.