BRUNNER, Hermann

• 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 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)

• Invited Speaker and organizer: International Workshop on Numerical Analysis and Computational Methods for Functional Differential and Integral Equations (Hong Kong, December 3-6, 2007)

• MATH 2220 Partial Differential Equations
• MATH 0021-0022 Mathematics for Science