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[ 461GCTSCPIV23 ] VL Computational Physics I
Versionsauswahl
Workload Education level Study areas Responsible person Hours per week Coordinating university
3 ECTS M1 - Master's programme 1. year Physics Robert E. Zillich 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Master's programme Physics 2025W
Learning Outcomes
Competences
Upon successful completion of the course, students are able to demonstrate a comprehensive understanding of basic numerical methods in physics (listed below), and can apply these methods. They are able to write computer programs to solve simple numerical problems.

This lecture is methodologically complemented by the exercise Computational Physics I.

Skills Knowledge
Upon completing the course, students will possess the following skills. They are able to

  • understand mathematical derivations and formulations of numerical methods (k2);
  • implement simulation methods in algorithms and computer programs (k3);
  • assess the accuracy of the numerical methods and identify possible error sources (k4/k5);
  • describe, compare and distinguish the properties of different numerical methods, identifying their unique characteristics and common underlying principles (k2-k5).
During the course, students will acquire knowledge about numerical techniques concerning:

  • numerical errors, floating point numbers;
  • interpolation;
  • fast Fourier transformation;
  • numerical differentiation and finite difference discretization;
  • quadrature;
  • root finding;
  • ordinary differential equations (initial and boundary value problems);
  • solving eigenvalue problems and linear equations;
  • iterative solutions methods;
  • partial differential equations.
Criteria for evaluation Evaluation criteria will be announced at the beginning of the semester.
Methods Lecture on fundamental concepts of numerical mathematics with derivations and their implementation by algorithms/in computer codes.
Language English
Study material Material distributed in class:

  • lecture notes as pdf
  • Mathematica example notebooks/CDF files

Literature:

  • Paul DeVries, "A first course in computational physics", Wiley 1994
  • Josef Stör, Roland Bulirsch, "Numerische Mathematik 1" and "Numerische Mathematik 2", Springer (also available in English)
  • Gene H. Golub, Charles F. Loan, "Matrix Computations", John Hopkins University Press
  • Z. Bai, J. Demmel, J. Dongarra et al, "Templates for the Solution of Algebraic Eigenvalue Problems", SIAM 2000
  • R. Barrett, M. Berry, T.F. Chan et al, "Templates for the Solution of Linear Systems", SIAM 200g
Changing subject? No
Earlier variants They also cover the requirements of the curriculum (from - to)
460NATECP1V16: VO Computational Physics I (2016W-2023S)
TPMPTVOCOP1: VO Computational Physics I (2009W-2016S)
On-site course
Maximum number of participants -
Assignment procedure Direct assignment