Individual
course details |
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Study programme |
Applied
and Computer Physics |
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Chosen research area (module) |
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Nature and level of studies |
Undergraduate
studies |
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Name of the course |
Numerical
methods in physics |
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Professor (lectures) |
Jovan
Puzović |
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Professor/associate (examples/practical) |
Marjan
Ćirković |
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Professor/associate (additional) |
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ECTS |
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Status
(required/elective) |
Required |
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Access requirements |
Programming, Mathematics 1 and 2 |
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Aims of the course |
Mastering
the basic knowledge concerning numerical processing of the data, fitting,
numerical differentiation, integration and computer simulation. |
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Learning outcomes |
Students
are introduced to basic method in numerical data processing, use of different
algorithms for solving various problems in physics and with basic skills in
Monte Carlo simulation. |
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Contents of the course |
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Lectures |
Error,
Accuracy, and Stability; Solution of Linear Algebraic Equations; Gauss-Jordan
Elimination; Gaussian Elimination with Backsubstitution; LU Decomposition;
Modeling of Data; Polynomial Interpolation and Extrapolation; Fitting; Least
Squares as a Maximum Likelihood Estimator; Root Finding and Nonlinear Sets of
Equations; Bracketing and Bisection; Secant Method, False Position Method,
and Ridders’ Method; Newton-Raphson Method Using Derivative; Integration of Functions; Elementary
Algorithms; Romberg Integration; Numerical Derivatives; Integration of
Ordinary Differential Equations; Runge-Kutta Method; Random Numbers;
Transformation Method: Exponential and Normal Deviates; Simple Monte Carlo
Integration; Fourier Transform of Discretely Sampled Data; Convolution and
Deconvolution Using the FFT; Digital Filtering in the Time Domain |
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Examples/ practical classes |
Computational
exercises follow the lectures. |
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Recommended books |
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1 |
Numerical
Recipes in C, Second Edition,Cambridge University Press, 1992 |
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2 |
D.
Krpić, Uvod u numeričku fiziku, Faculty of Physics, Belgrade, 1998 |
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3 |
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4 |
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5 |
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Number of classes (weekly) |
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Lectures |
Examples&practicals |
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Student
project |
Additional |
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2 |
2 |
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Teaching and learning methods |
Lectures;
Solving problems; Consultations; Practical classes |
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Assessment (maximal 100) |
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assesed coursework |
mark |
examination |
mark |
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coursework |
10 |
written
examination |
40 |
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practicals |
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oral
examination |
50 |
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papers |
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presentations |
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