NUMERICAL METHODS AND PROGRAMMING
Group of Numerical Methods in Engineering  
School of Civil Engineering (E.T.S. de Ingeniería de Caminos, Canales y Puertos)  
Universidade da Coruña   

 

NOTES AND ADDITIONAL INFORMATION

 

Theme 1. FUNDAMENTALS
 

Fortran programming language: Origin and evolution

Fortran programming language: Basic programming manual

Gfortran installation

Matlab tutorial  

Access and files transfer to ANTARES

Basic notions of UNIX

 
Theme 2. STORAGE OF NUMBERS IN DIGITAL COMPUTERS
 

Digital information measurement units

Types of variables

Summary of the IEEE Std 754-1985 (source: Pittsburgh Supercomputing Center)

 
Theme 3. ALGORITHMS
 

Comparison between algorithms with different convergence order

 
Theme 4. ERRORS
 

Example of numerical instability: Natural powers of the Golden Ratio (Divine proportion)

 
Theme 6. DIRECT METHODS FOR LINEAR SYSTEMS OF EQUATIONS
 

Crout and Cholesky decomposition

 
Theme 7. ITERATIVE AND SEMI-ITERATIVE METHODS FOR LINEAR SYSTEMS OF EQUATIONS




Theme 8. NON-LINEAR EQUATIONS
 

Lipschitz conditions for functional iterative methods

Development of the Lipschitz conditions

  Method of iterative approximations (Fixed point method): Application example

Bisection method program

Newton-Rapshon method program

 
Theme 9. BASIC TECHNIQUES FOR NUMERICAL INTEGRATION
 

Newton-Cotes quadratures and compound quadratures.

Numerical methods for solving Ordinary Differential Equations

 

 

Academic year 2024/2025
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