中文

Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix

谱理论 2025-10-20 v1 数值分析 数值分析

摘要

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.

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引用

@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}
}