Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...
We consider second order explicit and implicit two-step time-discrete schemes for wave-type equations. We derive optimal order a posteriori estimates controlling the ...
In this paper, we present new error bounds for the Lanczos method and the shift-and-invert Lanczos method for computing e -τA v for a large sparse symmetric positive ...
General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...
Dr. Zacharias A. Anastassi received his PhD in Numerical Analysis in 2006 and his diploma in Civil Engineering in 2002. Before joining DMU in February 2018 as a Senior Lecturer in Computational ...