-1
votes
0answers
11 views

Interpolation and finite differences question. [closed]

$u_x$ is a function of $x$ for which fifth differences are constant and $u_1$ $+$$ u_7$ $=$ $–786$ $ ,$ $u_2$ $+$ $u_6$ $=$ $686$, $u_3$ $+$ $u_5$ $=$ $1088$. Find $u_4$. Answer is $570.9$
2
votes
1answer
58 views

Interpolation with degree restriction

(using $f[x_1, ... , x_n]$ to denote the forward difference operator) I have a polynomial $P(x)$ interpolating $5$ points $x_0, ... , x_4$ and $2$ derivative values $x_0, x_3$ across an evenly spaced ...
2
votes
0answers
202 views

linear interpolation error estimate for non-smooth function

Suppose I have two points $x_1,x_2$ between which I would like to have a linear interpolation $P_1$. I know the value of the function $f$ at $x_1,x_2$. The error at any point between the two will be ...
0
votes
1answer
170 views

Sagar an Payne stress-strain relationships and Boussinesq aproximation in Matlab

I have to do 2 problems in Matlab, and the Math course is not my favourite one. However, I have tried to resolve the first problem, based on another exercise, but I'm pretty sure it's wrong. Can you ...