Wave propagation using bandlimited functions

Gregory Beylkin
Univ. of Colorado, Boulder

Joint work with Kristian Sandberg

Using a basis for bandlimited functions, we develop a propagation scheme
that requires minimal oversampling in representing
models with variable coefficients. Moreover, we observe significantly reduced
numerical dispersion since numerical approximations are almost uniform over
the bandwidth of interest.

We compute exponential operators (in partitioned separated representation)
to advance the solution in steps comparable to a
characteristic wavelength (rather than a small fraction of thereof in
the standard finite-difference schemes).
We demostrate the performance of the scheme using an implementation in two spatial dimensions.


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