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Numerical Analysis

Objectives

Available soon

General characterization

Code

12907

Credits

6.0

Responsible teacher

Nuno Filipe Marcelino Martins

Hours

Weekly - 4

Total - Available soon

Teaching language

Português

Prerequisites

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Bibliography

Available soon

Teaching method

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Evaluation method

Available soon

Subject matter

1. Introduction to Numerical Analysis. Errors.  Conditioning of a problem and
stability of a method.


2. Interpolation and Function Approximation: Polynomial interpolation, trigonometric interpolation, cubic spline interpolation, least squares approximation.


3. Numerical Integration: Newton-Cotes integration formulas, Gaussian integration.


4. Root finding for Nonlinear Equations: Bisection method, fixed-point iteration method, Newton’s method and secant method.


5. Numerical Linear Algebra: Norms of vectors and matrices, conditioning of a system, direct methods for the solution of systems of linear equations, eigenvalues and eigenvectors, Gershgorin’s theorem. Iterative methods for computing eigenvalues and eigenvectors. Iterative methods for solving a linear system of equations.