Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix
Spectral Theory
2025-10-20 v1 Numerical Analysis
Numerical Analysis
Abstract
This paper reports on recent work to compute the asymptotic solution of a n-th order ordinary differential equation. Symbolic methods are used to compute the asymptotics over a large region. Application is made to the computation of the Titchmarsh-Weyl M-matrix for the fourth order operator.
Cite
@article{arxiv.math/9801053,
title = {Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix},
author = {B. M. Brown and M. S. P. Eastham and D. K. R. McCormack and W. D. Evans},
journal= {arXiv preprint arXiv:math/9801053},
year = {2025}
}