Hello everyone,
I am solving an eigenvalue problem. Right now, I would like to know;
How to determine the degeneracy of eigensolution of sturm-liouville differential eigenvalue problem?
I have an eigenvalue sturm-liouville problem H f(y) = E f(y) where H is a differential operator and E is...
I have many different versions of ODE/PDE that describe this same problem.
A simple version but which is not yet solved is this 4th order nonlinear ODE
a*f(y) + b*(y-y0)^2*f(y) + c*d^4 f(y)/ dy^4 = 0
where a, b, c and y0 are all constants.
I hope this is nicer to look at than the...
Hello everybody,
I have been trying to solve coupled two eigenvalue (Sturm-Liouville) problems in terms of two (eigen) functions u[x,y] and v[x,y].
I have been using Mathematica trying to solve the coupled equations analytically in their original form,
but the Mathematica doesn't seem to...
Thanks for the advice but I particulalry intend to work with finite difference methods.
I use 3 methods at once; trapezoid, Romberg and Gaussian quadrature to integrate out int_pi/2_inf sin(x)/x^2 dx followed first by defining y = 1/x and transforming the integral to int_0_2/pi sin(1/y) dy...
Hi everyone,
I am writing a simple code using Numerical Recipes (that bible of numerical method) to
integrate using trapezoid rule the following integral
int_pi/2_inf {sin(x)/x^2} dx
I first make variable change y = 1/x to change limit of integration so that now the integral
becomes...
From MD to physics is a career suicide
Millions out there dream to be MD coz of prosperous life this career choice guarantees
One can't be more insane to make this switch
I don't look down or anything like that; but intended to emphasize the clear distinction between a purely theoretical-oriented research and computational research
To regard them as not different from each other does not sound that right
About computational/numerical "experiment", I was being...
From my observation, some computational physics (science in general) people need not much deep theoretical mastery and powerful analytical, mathematical skill to the point that once you know how to program something, you can get the (computational) jobs done
Some do not even understand the...
Doctor!
In my country of origin doctor is profession number ONE!
Everybody wants to be doctor and people will do everything to go to medical school, even selling their house or inherited land to fund the 5 to 10 (!) years of undergrad study to just get this degree
Yes, it is the most...
Sorry a bit off topic but still related to assistanship-related issue as a graduate student.
What is it like doing a 20 hrs/week teaching assistanship, is it relatively a heavy work load?
Is that 20 hrs/week relatively standard or below or above standard?
In reality, is that number of hours...
You are exactly in the same situation as me
I come to believe that only losers will say mathematics and pure science disinterest them
because they serve no practical use, "only" proving useless theorems in mathematics or coming with a theory with no real world applications,
There are many...
Gentlemen,
Sorry, rather than opening new thread, please let me post this question in this thread.
What book(s) would you recommend for physics student studying Functional Analysis?
Is strong background in real analysis a must prerequisite before doing Fuctional Analysis?
I observe Rudin's...
no
The Should-I-Become-An-Engineer?
HELL NO
I was engineer but I am no longer one
enough is enough, 4 years of life wasting
and 4 years of being fed (up) with Laplace and Fourier transforms again and again
What any engineer knows about mathematics other than these two
or physics other...
Yeah, mathematicians are cool, classy, "sublime"
who wants to be a mathematician?
I definitely wanted to be a mathematician, my primary school dream
and I would be a mathematician now if the the terror and myth saying that doing maths and science prevents people from getting rich, never...
Hi,
I am curious about the following and I aim these questions to the people who do general relativity and uantum field theory over there.
What is the difference between field theory of general relativity and field theory of quantum field theory? Is the former only for study of gravitation...