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Results tagged with na.numerical-analysis
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user 493556
Numerical algorithms for problems in analysis and algebra, scientific computation
1
vote
1
answer
107
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Numerical solution to some functional equation
Let $z>0$ be fixed. Consider the function $p_a: \mathbb R^2_+\to\mathbb R_+$ given as
$$
p_a(t,x):=\frac{1}{\sqrt{2\pi N_a(t)}}\left[\exp\left(-\frac{(x-z)^2}{2N_a(t)}\right)-\exp\left(-\frac{(x+z)^2} …
- 1,409
1
vote
1
answer
49
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Implementable numerical scheme for the equation $a=\text{Erf}\big(z/\sqrt{2N_{a}}\big)$
Let $z>0$ be fixed and $A$ be the set of non-increasing functions from $\mathbb R_+$ to $[0,1]$ with norm $\|\cdot\|:=\|\cdot\|_\infty$. Define by $F$ the operator on $A$ by
\begin{equation*}
F(a) …
- 1,409