6 papers
Absolute continuity and spectral concentration for slowly decaying potentials
B. M. Brown, M. S. P. Eastham, D. K. R. McCormack
We consider the spectral function for the Sturm-Liouville equation on with the boundary condition and where has slow…
Extensions of a New Algorithm for the Numerical Solution of Linear Differential Systems on an Infinite Interval
B. M. Brown, M. S. P. Eastham, D. K. R. McCormack
This paper is part of a series of papers in which the asymptotic theory and appropriate symbolic computer code are developed to compute the asymptotic expansion of the solution of…
A new algorithm for computing the asymptotic solutions of a class of linear differential systems
B. M. Brown, M. S. P. Eastham, D. K. R. McCormack
This paper reports on a new algorithm to compute the asymptotic solutions of a linear differential system. A feature of the algorithm is the ability to accommodate periodic coeffic…
Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix
B. M. Brown, M. S. P. Eastham, D. K. R. McCormack +1
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 lar…
On a New Algorithm for the Computation of Enclosures for the Titchmarsh-Weyl m-Function
B. M. Brown, M. S. P. Eastham, D. K. R. McCormack +1
The paper reports on computation of verified enclosures for the Titchmarsh-Weyl m-function. It examines some cases in which Lohner's AWA algorithm must be suplimented by mathematic…
On the spectrum of second order differential operators with complex coefficients
B. M. Brown, W. D. Evans, D. K. R. McCormack +1
The Weyl-Sims classification for a second-order ordinary differential equation with general complex coefficients is investigated. Connections are then established between the assoc…