48 citations · 173 across the 16 of their papers we have counts for
5 papers · 1 filter
Nanostructures imaging via numerical solution of a 3-d inverse scattering problem without the phase information
Michael V. Klibanov, Loc H. Nguyen, Kejia Pan
Inverse scattering problems without the phase information arise in imaging of nanostructures whose sizes are hundreds of nanometers as well as in imaging of biological cells. The g…
A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation
Dongdong He, Kejia Pan
This paper concerns the numerical study for the generalized Rosenau-Kawahara-RLW equation obtained by coupling the generalized Rosenau-RLW equation and the generalized Rosenau-Kawa…
An extrapolation cascadic multigrid method combined with a fourth order compact scheme for 3D poisson equation
Kejia Pan, Dongdong He, Hongling Hu
In this paper, we develop an EXCMG method to solve the three-dimensional Poisson equation on rectangular domains by using the compact finite difference (FD) method with unequal mes…
A new extrapolation cascadic multigrid method for 3D elliptic boundary value problems on rectangular domains
Kejia Pan, Dongdong He, Hongling Hu
In this paper, we develop a new extrapolation cascadic multigrid (ECMG) method, which makes it possible to solve 3D elliptic boundary value problems on rectangular domains…
An energy preserving finite difference scheme for the Poisson-Nernst-Planck system
Dongdong He, Kejia Pan
In this paper, we construct a semi-implicit finite difference method for the time dependent Poisson-Nernst-Planck system. Although the Poisson-Nernst-Planck system is a nonlinear s…