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Apr
22
comment Correct way to calculate a complex integral?
Ok, perfect. Thank you.
Apr
22
comment Correct way to calculate a complex integral?
Analytical is the same as holomorphic?
Apr
22
revised Correct way to calculate a complex integral?
deleted 9 characters in body
Apr
22
asked Correct way to calculate a complex integral?
Apr
14
accepted 2nd and 3rd derivative of $A^{-1}$
Apr
14
asked 2nd and 3rd derivative of $A^{-1}$
Mar
11
comment Consistency order of backward Euler method
@Yimin My problem is that approximate solution si $y_1$, not $y$ and is defined only at $t_1$. So $y_1(t_0) \neq y_0$, right?
Mar
11
comment Consistency order of backward Euler method
@Yimin Which function you developed to obtain your last Taylor expansion? $y_1(t_1 - h)$? Why this can be done? Thank you.
Mar
10
comment Consistency order of backward Euler method
$\vec{y}_1(x+h) = \vec{y}(x) + \vec{y}'(x)h + O(h^2)$. But now what is x? Because $y_1$ is the approximate solution at $t = t_1$ ($x = t_1$) so I found my method, and subtracting this expression to Taylor expansion of exact solution don't give $O(h^2)$ (the error)...
Mar
10
comment Consistency order of backward Euler method
@Yimin Yes, but I can't find the Taylor expansion of approximate solution $\vec{y}_1$ in this case...
Mar
10
asked Consistency order of backward Euler method
Mar
10
accepted Order criteria on explicit two-stage RK method