Spectral decomposition of a finite-difference operator
SH Lui, PN Shivakumar - International Journal of Computer …, 2005 - Taylor & Francis
SH Lui, PN Shivakumar
International Journal of Computer Mathematics, 2005•Taylor & FrancisWe give asymptotic expansions of the eigenvalues of the second derivative operator with
Sommerfeld boundary conditions in one dimension. In terms of these eigenvalues,
eigenpairs of the associated second-order finite-difference operator can be inferred.
Eigenpairs of the Laplacian operator on a disk with absorbing boundary conditions are also
derived.
Sommerfeld boundary conditions in one dimension. In terms of these eigenvalues,
eigenpairs of the associated second-order finite-difference operator can be inferred.
Eigenpairs of the Laplacian operator on a disk with absorbing boundary conditions are also
derived.
We give asymptotic expansions of the eigenvalues of the second derivative operator with Sommerfeld boundary conditions in one dimension. In terms of these eigenvalues, eigenpairs of the associated second-order finite-difference operator can be inferred. Eigenpairs of the Laplacian operator on a disk with absorbing boundary conditions are also derived.

Showing the best result for this search. See all results