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 ...
The classical discontinuous Galerkin method for a general parabolic equation is analyzed. Symmetric error estimates for schemes of arbitrary order are presented. The ...
SIAM Journal on Numerical Analysis, Vol. 52, No. 5 (2014), pp. 2574-2593 (20 pages) We present a fully discrete linearized backward Euler finite element method for the Landau–Lifshitz equation in ...
Observations on nodal and loop analysis that can save a fair amount of scribbling of equations when using Kirchhoff's laws. In a previous Idea for Design, Anshi Chen outlined a method for analyzing ...