Do my maths homework! (Numerics) (German sheet but i can help with translation)

Cancelado Publicado Nov 13, 2007 Pagado a la entrega
Cancelado Pagado a la entrega

Hey just do this sheet for me.

Its german and very easy numerics.

I am willing to pay 30 Bucks for that, and will release another 30 bucks bonus on the 18th.

EDIT: I ONLY NEED TASKS 15&16, heres the english translation

(see deliverables)

Thank you!

## Deliverables

Task 15:

For the functions f,g from C[-1,1] the L^2 scalar product is defined Like this:

(see sheet)

Show: If f,g from P(n-1) and x_i with i=1,2,...,n are zeros of the n-th Lengendre polynom and

(see sheet)

..while l_j is the j th Lagrange Polynom from the node x_i with i=1,...,n then this is true

(see sheet)

Task 16:

Take a look at the Gauss integration on the interval [-1,1] with the weight function w(x)=(see sheet).

The corresponding orthogonal polynoms are the Tschebyscheff polynoms for which the recursion function

(see sheet)

applies.

a)Give a recursion formula for the on <T_n,T_n> = 1 normed tschebischeff polynoms.

b) give a tridiagonal matrix for the recursion

c) calculate the Weights of the gauss quadrature formula for n=3

## Platform

mathematics

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Nº del proyecto: #3468670

Sobre el proyecto

2 propuestas Proyecto remoto Activo Nov 24, 2007

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Anca24

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sagar27vw

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