Professor Emeritus David Borwein Distinguished Career Award MA, PhD ETH Zurich Office: HH-2024 Phone: (709) 864-7904 Fax: (709) 864-3010

• Numerical analysis of Volterra-type integral and integro-differential equations, including equations with weakly singular kernels and delay arguments.
• Computational solution of nonlinear reaction-diffusion problems with memory terms and blow-up solutions.

• (with K. Mustapha, H. Mustapha and D. Schoetzau) An
  hp-discontinuous Galerkin method for integro-differential
  equations of parabolic type, SIAM J. Numer. Anal., 49
  (2011), 1369-1396.
• (with H. Han and J. Zhang) Numerical blow-up of semilinear
  parabolic PDEs on unbounded domains, J. Sci. Comput., 49
  (2011), 367-382.
• (with H. Xie and R. Zhang) Analysis of collocation solutions
  for a class of functional equations with vanishing
  delays, IMA J. Numer. Anal., 31 (2011), 698-718.
• (with Q, Huang and H. Xie) Discontinuous Galerkin methods
  for delay differential equations of pantograph type,
  SIAM J. Numer. Anal., 48 (2010), 1944-1967.
• (with A. Boettcher, A. Iserles and S.P. Norsett) On the
  singular values and eigenvalues of the Fox-Li and related
  operators, New York J. Math., 16 (2010), 539-561.
• (with S. Maset) Time transformations for state-dependent
  delay differential equations, Commun. Pure Appl. Anal.,
  9 (2010), 23-45.
• (with D. Schoetzau) hp-discontinuous time-stepping for Volterra integro-differential equations, SIAM J. Numer. Anal., 44 (2006), 224-245.
• (with Q.-Y. Hu) Optimal superconvergence orders of iterated collocation solutions for Volterra integral equations with vanishing delays, SIAM J. Numer. Anal., 43 (2005), 1935-1949.
• Survey article: “The numerical analysis of functional integral and integro-differential equations of Volterra type”, Acta Numerica (2004), 55-145.
• Research monograph: “Collocation Methods for Volterra Integral and Related Functional Differential Equations”, Cambridge Monographs on Applied and Computational Mathematics, No. 15, Cambridge University Press, Cambridge/UK, November 2004 (xiv + 597 pages). (See also: www.cambridge.org)

Professional activities:

• Chair, Board of Directors, Atlantic Association for Research
  in the Mathematical Sciences (AARMS) (2009- ).
• Member of Editorial Boards:
  
  • SIAM Journal on Numerical Analysis.
  • IMA Journal of Numerical Analysis.
  • Journal of Integral Equations and Applications

• Canadian Mathematical Society's 2008 David Borwein Distinguished Career Award
• Fellow of the Fields Institute (June 2006)