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Numerical algorithms for problems in analysis and algebra, scientific computation
2
votes
Accepted
approximation methods in integral equations
Kendall Atkinson has done a big work in numerical solutions of integral equations. As with almost all other kinds of equations, the explicit solution of the integral equation is rarely known.
On the …
1
vote
Accepted
Integral Fredholm equation of the second type
Just in the case someone will be interested in a problem of such a kind. Very nice methods are developed by Prof. Kendall E. Atkinson. I read some of his papers and also used his toolbox for MATLAB wh …
2
votes
2
answers
486
views
Integral Fredholm equation of the second type
There is an equation
$$
w(x) = g(x)+\int\limits_0^M w(y)f(x-y)\,dy
$$
where $f\geq 0$, $f\in C^\infty(\mathbb R\setminus\{c\})$ for some point $c$ and $\int\limits_{-\infty}^\infty f(t)\,dt\leq 1$. Wi …