FU:TFNPF0002 Num. Modeling in Physics I - Course Information
TFNPF0002 Numerical Modeling in Physics I
Institute of physics in Opavasummer 2021
- Extent and Intensity
- 4/2/0. 8 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Kateřina Klimovičová, Ph.D. (lecturer)
doc. RNDr. Jan Schee, Ph.D. (lecturer)
RNDr. Kateřina Klimovičová, Ph.D. (seminar tutor) - Guaranteed by
- doc. RNDr. Jan Schee, Ph.D.
Institute of physics in Opava - Timetable
- Tue 11:25–14:45 LPS
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- (FAKULTA(FU) && TYP_STUDIA(N))
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Computer physics (programme FU, TFYZNM)
- Course objectives
- The course introduces to the students fundamentals of numerical modeling of physical processes. The general theory is illustrated on specific, mostly astrophysical applications.
- Learning outcomes
- Passing the course a student acquires following skills:
- independently mathematically formulate physical problem,
- discretization of the problemu,
- choice of suitable numerical metod and solve problem along with and error estimate,
- results presentation in form of tables and plots of suitably chosen physical quantities describing the state of problem solution - Syllabus
- The key topics of the course:
• Physical quantities representation - scalars, vectors and matrices as arrays. Discretization of a problem. Integer numbers, Floating point numbers. Errors: roundoff, truncation. Finite precision arithmetic and error propagation.
• Kinematics: tables and plots generation, state of particles – positions and velocities.
• Kinematics: particle confined in a box(reflection from the walls), mutually interacting particles in the box (Brown motion), evolution of particles, velocity distribution.
• Dynamics: equations of motion and their numerical integration, Euler and Runge-Kutta methods.
• Dynamics: Particle on splring (1-D motion), planet motion and Rutherford scattering.
• Dynamics: multi-particle systems, planar(2D) and spatial(3D) motion
• Dynamics: system of non-interacting particles moving in central fields.
• Dynamics: spherical cluster model, system of mutually, gravitationally, interacting particles.
• Dynamics: Adaptive step Runge-Kutta methods, test particles motion in electromagnetic field, relativistic motion.
• Gravitational lens:light escape cones and silhouette construction, Carter's equations, boundary conditions.
- The key topics of the course:
- Literature
- recommended literature
- PRESS, William H. Numerical recipes: the art of scientific computing. 3rd ed. New York: Cambridge University Press, 2007. ISBN 978-0-521-88068-8. info
- Misner, C. W., Thorne, K. S., Wheeler, J. A. Gravitation, Freeman, San Francisco, 1973 (2017)
- P. Schneider, J. Ehlers and E. E. Falco. Gravitational lenses. Springer, 1999. info
- RYBICKI G. B., LIGHTMAN A. P. Radiative Processes in Astrophysics. Wiley-VCH, Weinheim, 2004. ISBN 978-0-471-82759-7. info
- Teaching methods
- Lectures. Exercises. Working out given project.
- Assessment methods
- oral exam, defense of final project
- Language of instruction
- Czech
- Further Comments
- Study Materials
- Enrolment Statistics (summer 2021, recent)
- Permalink: https://is.slu.cz/course/fu/summer2021/TFNPF0002