Software in numerical analysis |
ter |
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Teaching Staff in Charge |
Assoc.Prof. TRÎMBITAS Radu Tiberiu, Ph.D., tradu@cs.ubbcluj.ro |
Aims |
To introduce students in numerical programming and usage of math packages. |
Content |
1. MATLAB - programming in MATLAB, graphics, functions and tollboxes.
2. Error theory and floating point. 3. Curves and surfaces rendering. 4. Linear systems - direct methods: Gaussian elimination, LU, Cholesky and QR decompositions. 5. Linear systems - stationary iterative methods: Jacobi, Gauss-Seidel, SOR 6. Linear systems - nonstationary iterative methods: conjugated gradient, GMRES 7. Linear systems - MATLAB inplementation 8. Eigenvalues and eigenvectors. QR algorithms. Singular value decomposition. MATLAB inplementation. 9. Differential equations: one step methods, multistep methods, stiffness; MATLAB inplementation. 10. Sparse matrices. 11. Resources on Internet: netlib, gams, LAPACK. |
References |
1. S. Nakamura - Numerical Analysis and Graphics Visualization in MATLAB, Prentice-Hall,1998.
2. Flanery, Veterlink, Teukolsky - Numerical Recipes in C 3. R. Burden, L. D. Faires - NUmerical Analysis, PWS Kent, 1986. 4. MathWorks Inc. - MATLAB, setul de manuale. |
Assessment |
exam(50%)+practical test(50%) |