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Teaching GuideTerm Faculty of Computer Science |
| Mestrado Universitario en Enxeñaría Matemática |
 Subjects |
| Métodos Numéricos I |
| Contents |
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| Identifying Data | 2020/21 | |||||||||||||
| Subject | Métodos Numéricos I | Code | 614455106 | |||||||||||
| Study programme |
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| Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
| Official Master's Degree | 1st four-month period |
First | Obligatory | 3 | ||||||||||
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| Topic | Sub-topic |
| 1. Numerical solution of systems of linear equations | 1. Condicitioning of a system of linear equations. 2. Direct methods: LU, LL^t, LDL^t y QR. 3. Classic iterative methods: Jacobi, Gauss-Seidel, SOR and SSOR. |
| 2. Numerical solution of systems of nonlinear equations | 1. Revision of methods for solving nonlinear equations. 2. Fixed Point Method. 3. Newton Method. |
| 3. Interpolation, derivation and numerical integration | 1. Lagrange inerpolation. 2. Hermite interpolation. 3. The Runge effect. 4. Spline approximation. 5. Numerical derivation of polynomial interpolation type. 6. Numerical integration of polynomial interpolation type. 6.1 Newton-Cotes fromulae. 6.2 Gauss formulae. 6.3 Compound quadrature rules. |
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