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SYLLABUS
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4.4 Non-linear equations.
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4 FOURIER TRANSFORM
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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
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Lifelong-learners
at 06:34:46, January 18th, 2019