Numerical Methods
General data
Course ID: | 1100-3`MNum |
Erasmus code / ISCED: |
11.301
|
Course title: | Numerical Methods |
Name in Polish: | Metody numeryczne |
Organizational unit: | Faculty of Physics |
Course groups: |
Astronomy (1st level); Elective courses Astronomy, individual path; elective courses Physics (1st level); elective courses Physics (2nd cycle); numerical analysis courses, Physics, individual path; elective courses |
ECTS credit allocation (and other scores): |
6.00
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Language: | Polish |
Short description: |
The course will be focused on basic numerical methods used in scientific computer aided computations. |
Full description: |
The course will be focused on basic algorithms used in scientific computations and their implementation in the form of computer programs. Program: 1. Representation of numbers in computer memory; errors, accuracy, stability of computations. 2. Polynomial interpolation and extrapolation, Neville algorithm, splines. 3. Smoothing and approximation of data. 4. Solution of large systems of linear algebraic equations. 5. Solution of nonlinear sets of equations. 6. Integration of functions. 7. Random numbers and their applications - Monte Carlo Methods. 8. Minimization. 9. Sorting and searching. 10. Finding eigenvalues and eigenvectors of large matrices. 11. Fourier transform. 12. Solution of ordinary and partial differential equations. The lecture will be accompanied by classes where students will write programs implementing the algorithms described in the lectures and will familiarize themselves with software packages, which may be helpful in scientific computations and numerical analysis of data. The final note will depend on written test (44%), notes given by assistants for class activities (44%) and presence on classes (12%). Description by Tomasz R. Werner, December 2009. |
Bibliography: |
1. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery: Numerical Recipes: The Art of Scientific Computing 2. G. Dahlquist and A. Björck: Numerical Methods in Scientific Computing 3. J. Stoer and R. Bulirsch: Introduction to Numerical Analysis 4. A. Ralston: First Course in Numerical Analysis |
Classes in period "Summer semester 2024/25" (past)
Time span: | 2025-02-17 - 2025-06-08 |
Go to timetable
MO WYK
TU W CW
TH FR CW
|
Type of class: |
Classes, 30 hours, 20 places
Lecture, 30 hours
|
|
Coordinators: | Jakub Tworzydło | |
Group instructors: | Konrad Kossacki, Jakub Tworzydło | |
Students list: | (inaccessible to you) | |
Credit: | Examination |
Copyright by University of Warsaw.