arXiv subjects

Stephen B. Robinson

Publications and source records attributed to Stephen B. Robinson.

2 recordsLinked to original sources

arXiv2023

On The Convergence of the Variational Iteration Method Applied to Variable Coefficient Klein-Gordon Problems

In this paper, we give a formulation of the variational iteration method that makes it suitable for the analysis of the solutions of Klein-Gordon equations with variable coefficients. We particularly study a Klein-Gordon problem which has solutions in terms of Airy functions. We prove that the sequence of approximate solutions generated by the variational iteration method for such Klein-Gordon equation converges to Airy functions.

math.AP↗

arXiv2017

Eigencurves for linear elliptic equations

This paper provides results for eigencurves associated with self-adjoint linear elliptic boundary value problems. The elliptic problems are treated as a general two-parameter eigenproblem for a triple (a, b, m) of continuous symmetric bilinear forms on a real separable Hilbert space. Variational characterizations of the eigencurves associated with (a, b, m) are given and various orthogonality results for corresponding eigenspaces are found. Continuity and differentiability, as well as asymptotic results, for these eigencurves are proved. These results are then used to provide a geometric description of the eigencurves.

math.AP↗