Numerical treatment of analytic continuation with Multiple-precision arithmetic
FUJIWARA, Hiroshi ; IMAI, Hitoshi ; TAKEUCHI, Toshiki ; ISO, Yuusuke
Hokkaido Math. J., Tome 36 (2007) no. 4, p. 837-847 / Harvested from Project Euclid
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The aim of this paper is to show numerical treatment of analytic continuation by high-accurate discretization with multiple-precision arithmetic. We deal with the Cauchy problem of the Laplace equation and an integral equation of the first kind with an analytic kernel. We propose high-accurate discretization based on the spectral method, and show some numerical examples with our proposed multiple-precision arithmetic.
Publié le : 2007-11-15
Classification:  analytic continuation,  ill-posed problem,  numerical instability,  spectral discretization,  multiple-precision arithmetic,  65J22,  47N40,  65J20 
@article{1272848036,
     author = {FUJIWARA, Hiroshi and IMAI, Hitoshi and TAKEUCHI, Toshiki and ISO, Yuusuke},
     title = {Numerical treatment of analytic continuation with Multiple-precision arithmetic},
     journal = {Hokkaido Math. J.},
     volume = {36},
     number = {4},
     year = {2007},
     pages = { 837-847},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1272848036}
}

FUJIWARA, Hiroshi; IMAI, Hitoshi; TAKEUCHI, Toshiki; ISO, Yuusuke. Numerical treatment of analytic continuation with Multiple-precision arithmetic. Hokkaido Math. J., Tome 36 (2007) no. 4, pp.  837-847. http://gdmltest.u-ga.fr/item/1272848036/