BRUNNER, Hermann

MA, Ph.D. ETH Zurich

Department of Mathematics
Hong Kong Baptist University
Kowloon Tong, Hong Kong
Telephone: (852) 3411-7025
Facsimile: (852) 3411-5811
Email:

Office: FSC1218, Fong Shu Chuen Building, HKBU

Research Interests:

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.
Discontinuous Galerkin methods for Volterra functional integral and differential equations

Recent Publications:

(with Q.-Y. Hu) Optimal superconvergence results for delay integro-differential equations of pantograph type, SIAM J. Numer. Anal., 45 (2007), 986-1004.
(with D. Schoetzau) hp-discontinuous Galerkin time-stepping for Volterra integro-differential equations, SIAM J. Numer. Anal., 44 (2006), 224-245.
(with N.-N. Yan) Finite element methods for optimal control problems governed by integral equations and integro-differential equations, Numer. Math., 101 (2005), 1-27.
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:

• Editorial Boards:	SIAM Journal on Numerical Analysis IMA Journal of Numerical Analysis Journal of Integral Equations and Applications
• NSERC (Natural Sciences and Engineering Research Council of Canada):
	Member, Committee on Grants and Scholarships (COGS) Group Chair, Pure/Applied Mathematics and Statistical Sciences

Honours:

TU Chemnitz: 2008 Summer School

Teaching