Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical ...

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. 49, No. 1/2 (2011), pp. 845-868 (24 pages) We bound the difference between the solution to the continuous Rudin—Osher—Fatemi (ROF) image smoothing model and ...