802 reputation
525
bio website math.utep.edu/faculty/…
location El Paso, TX
age 33
visits member for 2 years, 11 months
seen Dec 15 at 20:34

Computational Science PhD student
University of Texas El Paso
Climate & Energy Science Student Organization President
National Energy Technology Laboratory Intern
NSF LSAMP Fellow


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?
Aug
31
revised Verifying an error estimate on a multidimensional function using its jacobian
corrected slight error in notation
Aug
31
accepted Sufficiency to prove the convergence of a sequence using even and odd terms
Aug
31
revised Verifying an error estimate on a multidimensional function using its jacobian
corrected formatting
Aug
31
asked Verifying an error estimate on a multidimensional function using its jacobian
Aug
30
comment How do I obtain an appropriate energy functional from the weak formulation of a partial differential equation?
Substituting v=u into the weak formulation accounts for most of the functional $F(u)$ except for the term $\frac{1}{2}au^2$. Where did the $\frac{1}{2}$ come from?
Aug
30
comment Applying a multidimensional variant of Taylor's Theorem
Thanks so much, shoda! :)