We should ask
this differential equation solving genius to resolve the whole Cranky Kong dilemna.
Not exact matches
They have to
solve partial
differential equations for each of these elements and then intelligently couple them to all the other
equations.
In pursuit of answers, Munroe runs computer simulations, pores over stacks of declassified military research memos,
solves differential equations, and consults with nuclear reactor operators.
«The paper formulated the Grosseteste model in terms of
differential equations that can be
solved with modern numerical techniques,» says cosmologist Avi Loeb at the Harvard - Smithsonian Center for Astrophysics in Cambridge, who was not involved in the work.
For example, for a physicist it may just be a variable in some
differential equation that needs to be
solved.
Specifically, Lindstrom will investigate how novel data compression techniques can be used to more accurately and efficiently
solve partial
differential equations and other numerical computations that underlie the Lab's many physics - based computer simulation codes.
The framework is based on
solving nonlinear coupled ordinary and partial
differential equations that model the kinetics of the following phenomena: (1) mass transport in the electrolyte and electrode using the Nernst - Planck
equation; (2) electrical potential distribution using the Poisson
equation; (3) interfacial reactions that determine the boundary conditions or source terms (using the Butler - Volmer
equation or constant - flux conditions); and (4) evolution of the electrode / electrolyte interface using the Allen - Cahn
equation within the phase - field modeling (PFM) approach.
wjcb2004: i am probably 10 times smarter than you, just because of the fact that i know how to
solve differential equations without using laplace transformations, know what art is you below average intelligence piece of excrement trivolution [in response]: I have four course degrees, four certificates from the government commending my assistance, an honor student and top of the class for three years and graduated with honors.
Please take a note that I do perfectly understand what a feedback is (in the normal science and engineering), and how to write and analyze /
solve differential equations, both ordinary and partial.
I'm guessing you've got at least two
differential equations to
solve simultaneously, but without some additional parameters known, it's not possible.
This is the principle behind all methods of numerically
solving differential equations.
This is not based on sufficient knowledge of the actual models but on, what I know more generally about hyperbolic partial
differential equations and problems in
solving them numerically.
Given that the system's dynamics is described by a continuousand unique solution to some (unknown) system of partial
differential equations, how can we know that the states computed by
solving algebraic
equations representing a discrete representation of the conservation laws converge to the continuous solution or are even near to it?
It is the numerical implementation or approximation of a large set of
differential equations, which by definition are not optimally
solved by binary arithmetic.
The
equations that describe it are the Navier - Stokes
equations, which are nonlinear partial
differential equations so complex that mathematicians haven't even been able to prove that a solution exists in the general case, let alone
solve it.
If I have made a math error in say,
solving a
differential equation, and a Ph. D in math points it out to me, I should listen to them, and so should you.
If we
solve the
differential equations governing heat transfer between atmosphere and oceans and find that heat transfer does in fact occur, in both directions, then we can conclude that the above choices are not mutually exclusive.
Also assume (as seems reasonable these days) that computational limits in numerically
solving whatever
differential equations arise are not binding.
Climate science's confusion over greenhouse warming comes from the mistake made by Arthur Milne in 1922 when he
solved a
differential equation for IR absorption in the atmosphere using as boundary condition infinite thickness.
This would require dividing the ocean into a minimum of two layers and
solving a partial
differential equation (the «heat
equation») with appropriate boundary conditions.
It involves
solving equations and sometimes even
differential equations.
I have never applied the method of separations of variables to a system of partial
differential equations and do not know what other analytical methods there are to
solve partial
differential equations.