R. M.
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 Dec 29 awarded Autobiographer Dec 29 awarded Commentator Dec 29 awarded Yearling Dec 29 awarded Popular Question May 2 awarded Notable Question Dec 31 awarded Popular Question Jul 2 awarded Curious Jun 15 awarded Popular Question 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