Mathematics publications/preprints 2002-

Most of my recent mathematical papers are to be found in the spectral theory section of the
lanl.arXiv.org e-Print archive

• with M Hager, Perturbations of Jordan Matrices.
  Preprint, 2007.

  An indefinite convection-diffusion operator.

  LMS J. Comput. Math. 10 (2007) 288-306.

  Newman's proof of Wiener's Theorem.

  Preprint 2006.

  Approximate Diagonalization.

  SIAM J. Matrix Anal. Applic. to appear, 2007.

  Non-Self-Adjoint Operators and Pseudospectra.

  in `Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday', eds. P. Deift, F. Gesztesy, P. Perry, and W. Schlag.

  Proc. Symp. Pure Math. vol. 76.1, Amer. Math. Soc., Providence, RI, 2007.

  with B Simon: Eigenvalue Estimates for non-normal matrices and the zeros
  of random orthogonal polynomials on the unit circle.

  J. Approx. Theory 141 (2006) 189-213.

  Triviality of the Peripheral Point Spectrum.

  J. Evol. Eqns. 5 (2005) 407-415.

  Spectral bounds using higher order numerical ranges.

  LMS J. Comput. Math. 8 (2005) 17-45.

  Semiclassical analysis and pseudospectra.

  corrected version is in J. Diff. Eqns. 216 (2005) 153-187.

  Computing the decay of a simple reversible sub-Markov semigroup.

  LMS J. Comp. Math. 7 (2004) 1-20.

  Spectral asymptotics of the non-self-adjoint harmonic oscillator

  J. London Math. Soc. (2) 70 (2004) 420-426.

  Semigroup growth bounds.

  Preprint, February 2003, J. Oper. Theory 53:2 (2005) 225-249.

  Spectral pollution.

  co-author M Plum. IMA J. Numer. Anal. 24 (2004) 417-438.

  Spectral stability of the Neumann Laplacian.

  co-author V I Burenkov. J. Diff. Eqns. 186 (2002) 485-508.

  Schrodinger operators with slowly decaying potentials.

  co-author Jiban Nath. J Comp. Appl. Math. 148 (2002) 1-28.

  Non-self-adjoint differential operators.

  A review article, Bull. London Math. Soc. 34 (2002) 513-532.

  Eigenvalues of an elliptic system.

  Math. Zeit. 243 (2003) 719-743.