We present an approach of embedding Monte Carlo sampling into the Krylov subspace methods,where the extreme eigenvalues/eigenvectors of the large coefficien
The efficient and popular method known as Walk on Spheres(WoS)is useful for solving a variety of elliptic and parabolic partial differential equations..
In this work we present a novel multi-scale Monte Carlo simulation strategy for the electrolytes.We introduce a spherical simulation domain,and then integra
We present a numerical method for detecting perfectly conducting objects in a homogeneous medium in 3D.The method is based on minimizing an objective functi
We reported a hybrid algorithm for electrostatic energies of charged dielectric spheres.It is composed of method of images,method of moments and FMM,which p
In general,structure-preserving methods for partial differential equations have some mathematically rigorous properties,but the cost to obtain solutions of
In this talk,we consider the numerical integration of the short pulse equation.For this,Feng et al.(2011)considered an integrable discretization based on ho
I will show recent work with Tristan Pryer,in which we demonstrate conservation of energy,and linear and angular momenta for variational problems,which is e