# Civil Engineering (Academic Year 2018/2019) - Strutture e Infrastrutture

## Numerical methods

Credits: 6
Language: English
Course description
The course is introductory to scientific computation. The basic numerical methods for the solution of classical problems are presented and described. The course is introductory to scientific computation. The basic numerical methods for the solution of classical problems are presented and described.
Prerequisites
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Objectives
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Program
• Basic concepts of floating-point arithmetic. Conditioning of a problem. Numerical stability of an algorithm.
• Linear systems: direct methods (Gaussian eliminitations, LU-decomposition, Choleski) and iterative methods (Jacobi, Gauss-Seidel, SOR).
• Approximation of functions and data: polynomial and piecewise polynomial interpolation, splines, discrete least squares.
• Non-linear equations and systems: Newton's method and its discrete variants, fixed-point iteration.
• Numerical integration: Newton-Cotes formulas, Gaussian quadrature rules, composite rules.
• Initial value problems for ordinary differential equations: one-step methods (Runge-Kutta methods) and multistep (Adams) methods. Stiff problems.
Book
“Numerical Methods – Part I ”, Uninettuno University Press - McGraw-Hill, 2013 (available on the Uninettuno University Press bookstore).
“Numerical Methods – Part II ”, Uninettuno University Press - McGraw-Hill, 2013 (available on the Uninettuno University Press bookstore).
Exercises
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Professor
Maria Francesca Carfora
Video professors
Prof. Giovanni Monegato - Politecnico di Torino (Torino - Italy)
List of lessons
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Corso Vittorio Emanuele II, 39
00186 Roma - ITALIA
Tax code number: 97394340588
P.IVA: 13937651001

### Certified mail

info@pec.uninettunouniversity.net

### Student Secretariat

tel: +39 06 692076.70
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