Astrophysics (Index)About

spectral method

(method of numerically solving differential equations)

A spectral method is a method of numerically solving differential equations by approximating the equations using, for example, a Fourier series, and solving each term. Typically a Fourier transform is used.

A typically-used fourier series describes a function over a finite interval (or a function that repeats over such an interval) as a potentially infinite series of sine functions at various frequencies and phases. If a finite subset of these sine functions sums to a good approximation of the function, then differentials of this set of sine functions may sum to a good approximation of differentials of the function in question.


(mathematics,computation)
Further reading:
http://en.wikipedia.org/wiki/Spectral_method

Referenced by pages:
numerical analysis
SpEC

Index