Bibliographic Details
| Title: |
On the Eigenvalue Problem for the Discrete Analogue of the Laplace Operator in Spherical Coordinates. |
| Authors: |
Stepanova, I. E.1 (AUTHOR) tet@ifz.ru, Shchepetilov, A. V.2 (AUTHOR), Kolotov, I. I.2 (AUTHOR) |
| Source: |
Computational Mathematics & Mathematical Physics. Jan2026, Vol. 66 Issue 1, p65-74. 10p. |
| Subjects: |
Laplacian operator, Spherical coordinates, Boundary value problems, Iterative methods (Mathematics), Eigenfunctions, Finite difference method, Eigenvalues, Green's functions |
| Abstract: |
The eigenvalue problem for the finite-differenced analogues of the Laplace operator in spherical coordinates is considered. Finding eigenvalues and eigenfunctions for the finite-differenced boundary settings is a useful tool when evaluating the conditions for the implementation of the so-called matrix sweep method. This method makes it possible to determine potentials in two cases: (a) when the discrete fundamental solution is known, and (b) if an additional a priori information on the boundary values of potentials is given. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
