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Concept
Spectral Methods
Spectral methods
are a class of techniques in
numerical analysis
used to solve
differential equations
by expanding the solution in terms of a set of
basis functions
, typically
orthogonal polynomials
or
Fourier series
. These methods are particularly powerful for problems with
smooth solutions
and
periodic boundary conditions
, offering
exponential convergence rates
compared to traditional finite difference or
finite element methods
.
Relevant Degrees
Differential and Integral Equations 67%
Computational Mathematics 33%
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