Finite Moment Problems and Applications to Multiphase Computations in Geometric Optics
Gosse, Laurent ; Runborg, Olof
Commun. Math. Sci., Tome 3 (2005) no. 1, p. 373-392 / Harvested from Project Euclid
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Recovering a function out of a finite number of moments is generally an ill-posed inverse problem. We focus on two special cases arising from applications to multiphase geometric optics computations where this problem can be carried out in a restricted class of given densities. More precisely, we present a simple algorithm for the inversion of Markov's moment problem which appears in the treatment of Brenier and Corrias' "K-multibranch solutions" and study Stieltje's algorithm in order to process moment systems arising from a Wigner analysis. Numerical results are provided for moderately intricate wave-fields.
Publié le : 2005-06-14
Classification:  
@article{1128386015,
     author = {Gosse, Laurent and Runborg, Olof},
     title = {Finite Moment Problems and Applications to Multiphase Computations in Geometric Optics},
     journal = {Commun. Math. Sci.},
     volume = {3},
     number = {1},
     year = {2005},
     pages = { 373-392},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1128386015}
}

Gosse, Laurent; Runborg, Olof. Finite Moment Problems and Applications to Multiphase Computations in Geometric Optics. Commun. Math. Sci., Tome 3 (2005) no. 1, pp.  373-392. http://gdmltest.u-ga.fr/item/1128386015/