Educational guide School of Engineering |
english |
Degree in Mathematical and Physical Engineering (2021) |
Subjects |
NUMERICAL METHODS |
Contents |
IDENTIFYING DATA | 2023_24 |
Subject | NUMERICAL METHODS | Code | 17274109 | |||||
Study programme |
|
Cycle | 1st | |||||
Descriptors | Credits | Type | Year | Period | ||||
6 | Compulsory | Second | 2Q |
Competences | Learning outcomes | Contents |
Planning | Methodologies | Personalized attention |
Assessment | Sources of information | Recommendations |
Topic | Sub-topic |
Errors and Number Representation | Propagation of Errors |
Iterative Solution of Nonlinear Equations | Zeros of Functions and polynomials |
Direct Solution of Systems of Linear Equations | Gauss Method LU Decompositon |
Iterative Solution of Systems of Linear Equations | Jordan and Gauss-Seidel algorithms Overrelaxation methodologies Norms of Matrices and Vectors. Error in the methods. |
Polynomial Interpolation | Lagrange Polynomial Divided Differences Newton Polynomial Splines |
Numerical Differentiation and Quadrature | Classic Methods Gaussian Quadrature Adaptive Quadrature |
Numerical Solution of Ordinary Differential Equations | Initial Value Problems. Runge-Kutta Methdos Boundary Value Problems. |
Numerical Approximation of Functions | Classic Approximation. Trigonometric Approximation FFT |
Numerical Solution of Partial Differential Equations | Elliptic and Parabolic PDEs Finite Differences Finite Elements |