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- Andersson, FredrikLund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH (author)
Multi-scale discrete approximation of Fourier integral operators
- Article/chapterEnglish2012
Publisher, publication year, extent ...
- Society for Industrial & Applied Mathematics (SIAM),2012
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- LIBRIS-ID:oai:lup.lub.lu.se:93771e00-1307-4dca-bf7f-80031ed855e9
- https://lup.lub.lu.se/record/2224387URI
- https://doi.org/10.1137/100808174DOI
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- Language:English
- Summary in:English
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- Abstract in UndeterminedWe develop a discretization and computational procedures for approximation of the action of Fourier integral operators the canonical relations of which are graphs. Such operators appear, for instance, in the formulation of imaging and inverse scattering of seismic reflection data. Our discretization and algorithms are based on a multiscale low-rank expansion of the action of Fourier integral operators using the dyadic parabolic decomposition of phase space and on explicit constructions of low-rank separated representations using prolate spheroidal wave functions, which directly reflect the geometry of such operators. The discretization and computational procedures connect to the discrete almost symmetric wave packet transform. Numerical wave propagation and imaging examples illustrate our computational procedures.
Subject headings and genre
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- compression
- reflection seismology
- operator
- separated representation
- dyadic parabolic decomposition
- wave packets
- Fourier integral operators
- multiscale computations
Added entries (persons, corporate bodies, meetings, titles ...)
- de Hoop, Maarten V (author)
- Wendt, Herwig (author)
- Matematik LTHMatematikcentrum (creator_code:org_t)
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- In:Multiscale Modeling & Simulation: Society for Industrial & Applied Mathematics (SIAM)10:1, s. 111-1351540-34591540-3467
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