Reputation
1,209
Top tag
Next privilege 2,000 Rep.
Edit questions and answers
Badges
19 50
Newest
 Announcer
Impact
~82k people reached

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)
Dec
14
revised Placing delta's at maxima, Is there any smart equation based expression?
added 68 characters in body
Dec
14
revised Placing delta's at maxima, Is there any smart equation based expression?
edited tags
Dec
2
asked Placing delta's at maxima, Is there any smart equation based expression?
Nov
24
comment Linear continuous functional that is not uniformly continuous.
@Jochen : The vector metric space, described in this paper page 425. and rest of paper. ams.org/journals/tran/1936-040-03/S0002-9947-1936-1501882-8/…
Nov
19
revised Linear continuous functional that is not uniformly continuous.
deleted 1 character in body; edited title
Nov
18
asked Linear continuous functional that is not uniformly continuous.
Nov
1
awarded  Yearling
Sep
11
awarded  Notable Question
Sep
4
accepted Is there any pde whose solution evolves as a partial Fourier integral?