Javascript is required to navigate around our website; to visulalize only the syllabus, check the
table of content
.
SYLLABUS
Previous:
4.4 Non-linear equations.
Up:
4 FOURIER TRANSFORM
Next:
4.6 Exercises
4.5 Computer quiz
For an efficient FFT, the size of the arrays to be transformed must be
a multiple of 2
a power of 2
a prime number
The linear solution computed for the advection-diffusion equation
converges linearly to the physical value
converges quadratically to the physical value
converges faster than any polynomial to the physical value
is exact
Compared with Fourier schemes, aliases in finite differences are
never a problem (they do not exist)
rarely a problem (short wavelengths numerically damped by spatial operators)
as much a problem
Compared with Burger's, the Korteweg-DeVries equation is
less sensitive to aliasing
equally sensitive to aliasing
more sensitive to aliasing
Copyright ©
Lifelong-learners
at 08:01:43, November 19th, 2017