2013/2014

2014/2015

DM270

FIS/02 (THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS)

DEPARTMENT OF PHYSICS

FISICA NUCLEARE E SUBNUCLEARE

2°

2nd semester (02/03/2015 - 12/06/2015)

6

48 lesson hours

ITALIAN

ORAL TEST

PICCININI FULVIO (titolare) - 6 ECTS

None

Learning of the main algorithms used for the numerical solution of problems in classical and quantum physics. One of the main goals of the course is to develop the necessary forma mentis to solve a problem from the numerical point of view. For this reason all the algorithms are shown theoretically and also through their use in solving physics problems.

- Basic numerical methods: interpolation, approximation, differentiation, integration, root finding, random number generators
- Ordinary differential equations
- Linear algebra: basic operations with matrices, linear systems, eigenvalue equations
- Monte Carlo methods for numerical integration and, more in general, as simulation methods
- Partial differential equations
- Spectral methods (Fourier analysis)

=

W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery: Numerical Recipes, Cambridge University Press.
S.S.M. Wong: Computational Methods in Physics and Engineering, World Scientific.
P.L. DeVries: A First Course in Computational Physics, John Wiley & Sons, Inc.

Oral examination

Oral examination