Reputation
850
Top tag
Next privilege 1,000 Rep.
Create new tags
Badges
7 27
Impact
~62k people reached

Sep
14
comment Understanding tensor divergence notation in an integral
So, you mean "the usual divergence theorem" for each column vector of $\sigma$?
Sep
14
accepted Accumulation points of sequences as limits of subsequences?
Sep
14
asked Understanding tensor divergence notation in an integral
Sep
14
awarded  Citizen Patrol
Sep
14
comment Numerical solution of fractional integro-diffrential equ. using collocation method?
This question may be best posted on scicomp.stackexchange.com. It is more geared towards numerical methods for scientific computing.
Sep
14
comment Understanding Line integral notation
@MichaelBoratko: Yes, in fact, I'm evaluating the RHS integral in this notation. I'm parameterizing a curve around a quadrilateral, one segment at a time. Would $dS_{1}$ (in my case) be equivalent to ||C'(t)||dt?
Sep
14
comment Understanding Line integral notation
Its in Understanding and Implementing the Finite Element Method by M.S. Gockenbach.
Sep
14
asked Understanding Line integral notation
Sep
9
comment Proving the Kantorovich inequality
Could you post your answer? There may be others interested in the same question... i.e. me! :)
Sep
7
comment Accumulation points of sequences as limits of subsequences?
Ah, so it does work both ways! That's awesome! :)
Sep
7
comment Accumulation points of sequences as limits of subsequences?
As I'm working in $R^n$ space, I think that should work! :)
Sep
7
asked Accumulation points of sequences as limits of subsequences?
Sep
7
comment Evaluating $\iiint x\,dx\,dy\,dz$ limited by paraboloid of equation $x=4 y^2+4z^2$ & for plane $x=4$
Sometimes, books can be mistaken as well.
Sep
7
comment Evaluating $\iiint x\,dx\,dy\,dz$ limited by paraboloid of equation $x=4 y^2+4z^2$ & for plane $x=4$
You don't need to substitute anything for x... the change in variables result in a differential of the form: $r dxdrd\theta$.
Sep
7
answered Evaluating $\iiint x\,dx\,dy\,dz$ limited by paraboloid of equation $x=4 y^2+4z^2$ & for plane $x=4$
Aug
31
comment Verifying an error estimate on a multidimensional function using its jacobian
Thanks, copper.hat! :)
Aug
31
accepted Verifying an error estimate on a multidimensional function using its jacobian
Aug
31
comment Verifying an error estimate on a multidimensional function using its jacobian
You're answer makes a lot sense now! Just one little question: I'm not quite sure I understand how we can make the assumption that $\epsilon \le ||J(x^*)||$ "without loss of generality". Could you elaborate on that? What allows us to make such a claim?
Aug
31
comment Verifying an error estimate on a multidimensional function using its jacobian
I think I understand it now... The main purpose of the statement in the first line of the second paragraph is to ensure that $||x+t(x^*-x)-x||$ is in the ball so that continuity ensures that we can bound $||J(x+t(x^*-x)-x)-J(x)||$ by epsilon. It's a subtle detail that I just couldn't see at first.
Aug
31
comment Verifying an error estimate on a multidimensional function using its jacobian
Hi copper.hat. In the second line of the second paragraph, you wrote $||x+t(x^*-x) -x||$, but I think you meant to write $||x+t(x^*-x) -x^*||$. Otherwise, $||x+t(x^*-x) -x||=t||x^*-x||$. Do you agree?