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Desafío Numérico: El acercamiento correcto

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Desafío Numérico: El acercamiento correcto

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Adivina un concepto clave de métodos numéricos.

Created by

sam
sam
Mexico

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Desafío Numérico: El acercamiento correcto
 

Desafío Numérico: El acercamiento correctoOnline version

Adivina un concepto clave de métodos numéricos.

by sam
1

Es la propiedad de un método de acercarse cada vez más a la solución verdadera a medida que se repiten las operaciones.

Pistas

Es fundamental para garantizar que el método alcance una solución estable.

Indica que el resultado se aproxima al valor exacto con suficiente esfuerzo.

Se observa al incrementar iteraciones o disminuir el tamaño del paso.

2

No soy una fórmula mágica. Soy una secuencia finita de pasos lógicos. Transformo procesos continuos en discretos porque la computadora no entiende el infinito.

3

Ocurro porque la computadora tiene memoria finita. Los números decimales se cortan o redondean. Ejemplo: representar π con pocos decimales.

4

Aparezco cuando usamos una aproximación en lugar de un procedimiento exacto. Soy típico al usar pocos términos de una Serie de Taylor.

5

Soy la diferencia entre el valor real (V) y el aproximado (v). Mi fórmula es: Ea = |V − v|

6

Soy el error absoluto dividido entre el valor real. Indico qué tan grande es el fallo en proporción al valor verdadero.

7

Si los errores crecen sin control, el método falla. Si los mantiene bajo control, el método funciona bien.

8

Busco el valor de x donde f(x) = 0. Ejemplos: Bisección y Newton-Raphson.

9

Resuelvo grandes conjuntos de ecuaciones lineales al mismo tiempo.

10

Ajusto curvas a datos experimentales para poder predecir valores.

 
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