Solución a uno de los ejercicios propuestos

En este link encontraran un archivo con la solucion al problema de la Ecuación de la cuerda vibrante por el método de las diferencias finitas:

http://www.scribd.com/doc/36603584/Solucion-ejercicio-propuesto

Ejercicio propuesto ecuaciones elípticas

En este link encontraran un ejercicio sobre el tema de ecuaciones elipticas con su solucion

http://www.scribd.com/doc/36645852/Ejercicio-propuesto-ecuaciones-elipticas


Una aclaración que no realice en el documento es que alfa 1 es a la distancia entre el nodo 1,1 y la frontera curva, y alfa 2 es la distancia entre nodos.

Gauss-Seidel Method: Example

Chapter 5: Iterative Methods for Solution of Systems of Linear Equations

In this chapter we study the iterative methods can solve systems of linear equations, that are an alternative to direct methods. In this chapter you will read some important issues as:


· Special Matrices

· Jacobi method

· Gauss-Seidel method

· Gauss-Seidel method with relaxation

In this link you can watch the entire presentation.

http://www.scribd.com/doc/34241655/Iterative-Methods-for-Solution-of-Systems-of-Linear-Equations

Chapter 4: Direct Methods for Solving Linear Equations Systems

This chapter has been made to study some direct methods for solving systems of linear equations. In this chapter you can read about important aspects of matrices, the contributions of Gauss and other procedures.

• Background.

• Simple Gauss

• Gauss-Jordan Elimination

• LU Decomposition.
  
  
  
  
  
  
  
  
  
  

In this link you can watch the entire presentation.

http://www.scribd.com/doc/34241534/Direct-Methods-for-Solving-Linear-Equations-Systems

Chapter 3.1: Multiple Roots

In this chapter is studied the some polynomial equation and its multiple roots.
Here you can read some important aspects as:

• Basic operation of polynomials.

• Conventional methods

• Müller Method.

• Bairstow Method.

• Complex roots






In this link you can watch the entire presentation.
http://www.scribd.com/doc/34241602/Multiple-Roots

Newton-Raphson Method: Example

Multiple roots

Chapter 3: Roots of equations

In this chapter is studied the issue of roots of equations here you can read some important aspects as:

· Graphical, open and closed methods.

· Calculation of multiple roots.

· Calculation of complex roots.



In this link you can watch the entire presentation.
http://www.scribd.com/doc/31122228/Roots-of-Ecuation

Chapter 2: Numerical Approximation

In Chapter 2 of numerical methods we study the issue of numerical approximation and the contribution of the Taylor series, here you can read some important topics as:

· Significant figures.

· Accuracy and precision.

· Definitions of error. Rounding errors. Truncation errors. Total numerical error.

· The Taylor series

In this link you can watch the entire presentation.

http://www.scribd.com/doc/31111953/Numerical-Approximation

Chapter 1: Modeling

In this chapter you can read some important aspects of mathematical modeling as:


· Components of a mathematical model.

· The differential equations as mathematical models.

· Analytical solution.

· Engineering models. Topic applied: Darcy's Law.
In this link you can watch the entire presentation

http://www.scribd.com/doc/31078223/Modeling-1

Curriculum

http://www.scribd.com/full/30961275?access_key=key-vgop3gqyszy1so0v6xa