Abstract
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.
Citation
Hiroshi FUJIWARA. Hitoshi IMAI. Toshiki TAKEUCHI. Yuusuke ISO. "Numerical treatment of analytic continuation with Multiple-precision arithmetic." Hokkaido Math. J. 36 (4) 837 - 847, November 2007. https://doi.org/10.14492/hokmj/1272848036
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