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Ingegneria Informatica (Academic Year 2018/2019) - Programmazione e sicurezza

Metodi numerici

CFU: 9

Content language:Arabic

Course description

Metodi numerici

Professor

Renato Spigler

List of lessons

• Lesson n. 1: Introduction - Floating Point		Hany Abdel-Malek
• Lesson n. 2: Conditioning and Stability		Hany Abdel-Malek
• Lesson n. 3: MATLAB		Hany Abdel-Malek
• Lesson n. 4: Linear Systems (1) - Gauss & Gauss-Jordan Elimination		Hany Abdel-Malek
• Lesson n. 5: Linear Systems (2) - Partial and Full Pivoting - MATLAB examples		Hany Abdel-Malek
• Lesson n. 6: Linear Systems (3) - LU Factorization - MATLAB examples		Hany Abdel-Malek
• Lesson n. 7: Linear Systems(4) - Choleski's Factorization		Hany Abdel-Malek
• Lesson n. 8: Linear Systems (5) - Tri-diagonal and Banded Systems		Hany Abdel-Malek
• Lesson n. 9: Linear Systems (6) - MATLAB examples - Eigen Value Problem		Hany Abdel-Malek
• Lesson n. 10: Linear Systems (7) - Iterative Methods SOR		Hany Abdel-Malek
• Lesson n. 11: Approximation of Functions (1) - Polynomial Interpolation - MATLAB examples		Hany Abdel-Malek
• Lesson n. 12: Approximation of Functions (2) - Errors and estimation of derivatives		Hany Abdel-Malek
• Lesson n. 13: Approximation of Functions (3)- Piecewise polynomial interpolation – Splines		Hany Abdel-Malek
• Lesson n. 14: Approximation of Functions (4) - Least Squares		Hany Abdel-Malek
• Lesson n. 15: Nonlinear Equations (1) - MATLAB examples - Newton & Newton Modified Methods		Hany Abdel-Malek
• Lesson n. 16: Nonlinear Equations (2) - Discrete variants		Hany Abdel-Malek
• Lesson n. 17: Nonlinear Equations (3)- Fixed point iteration		Hany Abdel-Malek
• Lesson n. 18: Nonlinear Equations (4)- System of nonlinear equations		Hany Abdel-Malek
• Lesson n. 19: Numerical Integration (1)- Definite integrals – Trapezoidal rule – Composite Rule		Hany Abdel-Malek
• Lesson n. 20: Numerical Integration (2) - Newton – Cotes Formulas		Hany Abdel-Malek
• Lesson n. 21: Numerical Integration (3) - Gauss quadrature		Hany Abdel-Malek
• Lesson n. 22: Differential Equations (1) - Initial value problem – Euler's method		Hany Abdel-Malek
• Lesson n. 23: Differential Equations (2) - MATLAB examples Runge – Kutta methods		Hany Abdel-Malek
• Lesson n. 24: Differential Equations(3) - Stability – Multi-step methods - Methods of 1st order systems		Hany Abdel-Malek
• Lesson n. 25: Differential Equations (4) - Adams- Moulton Methods – Stiff Equations		Hany Abdel-Malek