Dr. Lyonell Boulton
Back to my webpage. My official departmental front page. Department of Mathematics page. Of. CM S20 Tel. 131 4513973	Department of Mathematics Heriot-Watt University Edinburgh EH14 4AS Scotland UK

Available Preprints

2011

• (joint with M. Marletta and D. Rule) "On the stability of a forward-backward heat equation".
  Download: arXiv: 1110.6869.
• (joint with M. Strauss) "Eigenvalue enclosures and convergence for the linearized MHD operator".
  Download: .

2010

• (joint with M.P. García del Moral - A. Restuccia) "Spectral properties in supersymmetric matrix models". Nuclear Phys. B 856 (2012) 716-747.
  Download: arXiv: 1011.4791.
• (joint with N. Boussaid and M. Lewin) "Weyl theorems for the polluted set of self-adjoint operators in Galerkin approximations".
  Download: arXiv: 1011.3634.
• (joint with G. Lord) "Approximation properties of the q-sine bases". Proc. R. Soc. A 467 (2011) 2690-2711.
  Download: arXiv: 1008.2519.
• (joint with M. Strauss) "On the convergence of second order spectra and multiplicity". Proc. R. Soc. A 467 (2011) 264-284.
  Download: arXiv: 1005.0774, journal access.
• (joint with P. Lancaster) "Schur decompositions of a matrix and the boundary of its pseudospectra". SIAM J. Matrix Anal. Appl. 31 (2010) 2921-2923.
  Download: , journal access.

2009

• (joint with M. Levitin - M. Marletta ) "On a class of non-self-adjoint periodic boundary value problems with discrete real spectrum". Transl. AMS 231 (2010) 59-66.
  Download: arXiv: 1004.2355.

2008

• (joint with N. Boussaid) "Non-variational computation of the eigenstates of Dirac operators with radially symmetric potentials". LMS Journal of Computational Mathematics 13 (2010) 10-32.
  Abstract and Download: Journal access, hal-00308843.
• (joint with M. Levitin - M. Marletta ) "On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities". J. Diff. Eq. 249 (2010) 3081-3098.
  Abstract and Download: Journal access, arXiv:0801.0172.

2007

• (joint with M. Levitin) "On Approximation of the Eigenvalues of Perturbed Periodic Schrodinger Operators". J. Phys. A: Math. Theor. 40 (2007) 9319-9329.
  Abstract and Download: Journal access, math.SP/0702420.

2006

• (joint with M.P. García del Moral - A. Restuccia) "The supermembrane with central charges: (2+1)-D NCSYM, confinement and phase transition". Nuclear Physics B 795 (2008) 27-51.
  Abstract and Download: hep-th/0609054.
  A short version of this paper is also available: Fortschr. Phys. 55 (2007) 672-677. hep-th/0701100.


• (joint with M. Strauss) "Stability of Quadratic Projection Methods". Operators and Matrices 1 (2007) 217-233.
  Separate web page: .


• (joint with P. Lancaster - P. Psarrakos) "On Pseudospectra of Matrix Polynomials and their Boundaries". Math. Comp. 77 (2008) 313-334.
  Abstract and Download: Journal access, math.SP/0604229.

2005

• (joint with P. Binding - P. Browne) "A Prufer angle approach to singular Sturm-Liouville problems with Molcanov potentials". Journal of Computational and Applied Mathematics 208 (2007) 102-121.
  Abstract and download. Abstract, journal access.


• "Non-variational approximation of discrete eigenvalues of self-adjoint operators". IMA J. Numer. Anal. 27 (2007) 102-121.
  Abstract and Download: Journal access, math.SP/0503126.

2004

• (joint with S.A.M. Marcantognini - M.D. Morán) "Finite lifetime eigenfunctions of coupled systems of harmonic oscillators". Letters in Mathematical Physics 70 (2004) 121-131.
  Abstract and Download: math.SP/0403187.


• (joint with P. Binding - P. Drábek - J. Cepicka - P. Girg) "Basis properties of eigenfunctions of the p-Laplacian". Proc. AMS. 134 (2006) 3487-3494.
  Abstract. Journal access.


• (joint with A. Restuccia) "The heat kernel of the compactified D=11 supermembrane with non-trivial winding". Nuclear Physics B 724 (2005) 380-396.
  Abstract and Download: Journal access, hep-th/0405216.

2003

• (joint with M. Rosas) "Sumando la derivada de la serie geométrica". Boletín de la AMV X.1 (2003) 89-98.
  Download: Journal access.


• "Limiting set of second order spectra". Math. Comp. 75 (2006) 1367-1382.
  Abstract and Download: Journal access, math.SP/0306404.

2002

• "Projection methods for discrete Schrodinger operators". Proc. London Math. Soc. 88 (2004) 526-544.
  Abstract and Download: math.SP/0201227.


• (joint with M.P. García del Moral - A. Restuccia) "Discreteness of the spectrum of the compactified D=11 supermembrane with non-trivial winding". Nuclear Physics B 671 (2003) 343-358.
  Abstract and Download: Journal ccess, hep-th/0211047.

2001

• "Non-selfadjoint harmonic oscillator, compact semigroups and pseudospectra". J. Oper. Theo. 47 (2002) 413-429.
  Abstract and Download: math.SP/9909179.


• "Spectral properties of a simple non-self-adjoint model". J. Diff. Eq. 186 (2002) 186-229.
  Abstract and Download: Journal access, math.SP/0102170.


• (joint with M.P. García del Moral - I. Martín - A. Restuccia) "On the spectrum of a matrix model for the D=11 supermembrane compactified on a torus with non-trivial winding". Classical and Quantum Gravity 19 (2002) 2951-2959.
  Abstract and Download: hep-th/0109153.