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
The nonlinear Schroedinger equation(NLS)with wave operator(NLSW)is NLS perturbed by the wave operator with strength described by a dimensionless parameter
In this talk,we present an efficient and accurate numerical method for computing the dynamics of rotating two-component Bose-Einstein condensates which is d
During the last 50 years,there has been a wide interest in the study of nonlinear Hamiltonian systems,especially Hamiltonian PDEs.Among which an important c
Up to now,the mathematicians think that the symplectic finite difference schemes for solving nonlinear partial differential equations could not preserve the