What does this research mean for the field?

The finite-differenced analogues of the Laplace operator in spherical coordinates can be effectively analyzed to determine eigenvalues and eigenfunctions, facilitating the implementation of the matrix sweep method for potential evaluation. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The research focuses on solving the eigenvalue problem associated with the finite-differenced Laplace operator in spherical coordinates.

February 23, 2026Computational Mathematics and Mathematical Physics

On the Eigenvalue Problem for the Discrete Analogue of the Laplace Operator in Spherical Coordinates

View Full Paper

Ask AI

Bookmark

Authors

ISI. E. Stepanova ASA. V. ShchepetilovLomonosov Moscow State University IKI. I. Kolotov

Discussion

Member takes

Implication

Demonstrates solutions to eigenvalue problems in spherical coordinates, indicating its application in evaluating potential conditions.

Key Points

The research focuses on solving the eigenvalue problem associated with the finite-differenced Laplace operator in spherical coordinates.
Analyzed eigenvalue problem for finite-difference models in spherical coordinates.
Evaluated boundary settings using matrix sweep method.
Considered scenarios with known discrete fundamental solutions and additional boundary information.
Identified specific eigenvalues and eigenfunctions for the discrete Laplace operator.
Established conditions for applying the matrix sweep method to compute potentials.

Cite This Study

Stepanova et al. (2026) studied this question.

synapsesocial.com/papers/699bee931c6c6bad539800aa https://doi.org/10.1134/s0965542525701763

View Full Paper

Ask AI

Bookmark