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Apr
20
awarded  Popular Question
Feb
29
comment Jump discontinuities under uniform convergence
This sounds like a home-work problem to me!
Feb
28
awarded  Notable Question
Feb
22
comment Jump discontinuities under uniform convergence
What is there in (1). If $f_n$ may or may not have jump discontinuties, then is it necessary that $f$ also may or may not have jump discontinuties? Isn't this trivial? aside another note : number of jump discontinuties of a function in $\mathbb{R}$ is always countable.
Feb
22
revised Jump discontinuities under uniform convergence
added 69 characters in body
Feb
22
awarded  Popular Question
Feb
22
revised Jump discontinuities under uniform convergence
deleted 198 characters in body
Feb
22
answered Jump discontinuities under uniform convergence
Feb
16
asked What is meant by small initial data, in partial differential equations (linear/nonlinear/evolutionary)
Jan
27
comment Solving a system of ODE that arose in solving Burgers' equation
Hi JJacquelin : Thnaks for the answer. My question is (what I want to learn) the solution of the coupled ODE system I have mentioned, and not the Burger's equation itself. Why I am interested is that I can build a computational model which can compute numerically, for any given initial data $u(x,0)$.
Jan
27
comment Solving a system of ODE that arose in solving Burgers' equation
@LutzL : I am trying to solve in Fourier-Galerkin method, where it is done like this. But the references I read do not tell how the ODE is solved, perhaps thats a well known thing in the field of numerical PDE or CFD, I am trying hard to get references.
Jan
27
comment Solving a system of ODE that arose in solving Burgers' equation
From what I googled, it seemed to be a coupled ODE. Wonder any ready made solution available?
Jan
27
asked Solving a system of ODE that arose in solving Burgers' equation
Jan
19
awarded  Announcer
Dec
17
accepted Placing delta's at maxima, Is there any smart equation based expression?
Dec
15
comment Placing delta's at maxima, Is there any smart equation based expression?
Thank you very much @Joonas. That was very helpful.
Dec
15
comment Placing delta's at maxima, Is there any smart equation based expression?
But I still need to understand from the middle expression, how you got the right most expression where summation removed. It seems to me that you used formula of $\delta(f(t))$, which introduced multiplication by $k''(t)$, but the already existing factor $H(-k''(y))k(y)$, wouldn't that hinder? Request you to exapnd a bit for my understanding. Also it would be nice, if you could comment on expresion for $\Gamma(t)$.
Dec
15
comment Placing delta's at maxima, Is there any smart equation based expression?
Thanks very much, +1; Couldn't ask for a better expression. It seems very right to me, I never got the idea of composition of functions earlier.
Dec
14
revised Notion of a non linear orthogonal basis (basis is not an appropriate word here)
added 107 characters in body
Dec
14
asked Notion of a non linear orthogonal basis (basis is not an appropriate word here)