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 ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...

Root mean square error (rms, or its square, the variance distance) is often used to measure differences between simulated and observed fields. In this case ...

In this research field we are developing advanced computational methods centered around efficient solution strategies for partial differential equations. In numerical analysis, we focus on developing ...

In this paper, we investigate the use of ultra weak variational formulation to solve a wave scattering problem in near field optics. In order to capture the sub-scale features of waves, we utilize ...

SIAM Journal on Numerical Analysis, Vol. 53, No. 3 (2015), pp. 1585-1607 (23 pages) The diffraction grating problem is modeled by a boundary value problem governed by ...