Syllabus
Basic numerical methods and application to solutions of problems of mathematical physics.
1) Error, precision, stability.
2) Interpolation, extrapolation, reprezentation, derivation and integration of function.
3) Roots of function, fixed point theorem and axceleration of convergence.
4) Minimalization a maximalization.
5) Solution of ordinary differential equations. Boundary- and initial-value problems.
6) Linear algebra: matrix inversion and diagonalization.
8) Integral equations.
9) Fast Fourier transform.
Annotation
Numerical methods and their application to solution of the equations of mathematical physics. The course covers the basic requirements from numerical mathematics for the final examination of theoretical physics.
Recommended in the first year of master study of theoretical physics, or in the last year of the bachelor study of physics.