Lecturer: L. Demanet18-22 August 2014
Title
Fast Multipole Methods and Butterfly Algorithms
Outline
The lectures will cover the high-frequency generalizations of the fast multipole and H-matrix methods.
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nonuniform direct and inverse fast Fourier transform
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the box separation (admissibility) criterion in the high-frequency case
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the FMM seen from the point of view of interpolation and projection operators
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the butterfly algorithmic architecture as an extension of H-matrices
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applications to BIE and high-resolution imaging (MRI, CT, and synthetic aperture radar.)
Exercises
References
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B. Engquist, L. Ying, Fast directional multilevel computation for oscillatory
kernels, SIAM J. Sci. Comput. 29(4), 1710-17372
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E. Candes, L. Demanet, L. Ying, A Fast Butterfly Algorithm for the Computation of Fourier
Integral Operators,
Multiscale Model. Simul., 7(4), 1727-1750
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L. Demanet's (incomplete) lecture notes on fast algorithms: pdf file
