Open AccessAbout calculation with the high accuracy of eigenvalues of the operator Laplace in the ellipse (with the regional condition of Neumann)
Author(s) -
S. D. Algazin,
S. D. Algazin
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524862143-146
Subject(s) - ellipse , eigenvalues and eigenvectors , eccentricity (behavior) , operator (biology) , laplace operator , elliptic operator , neumann series , von neumann architecture , mathematical analysis , grid , laplace's equation , mathematics , laplace transform , neumann boundary condition , task (project management) , pure mathematics , geometry , boundary value problem , physics , engineering , quantum mechanics , political science , biochemistry , chemistry , systems engineering , repressor , transcription factor , law , gene
The method of the computing experiment investigates the task about fluctuations of the elliptic membrane with the regional condition of Neumann. It is shown that on the grid 40×61 it is possible to define up to 50 eigenvalues with several right significant figures for eccentricity e = 0..