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In this paper, we will provide the the finite element method for the electro-osmotic flow in micro-channels, in which a convection-diffusion type equation is given for the charge density ρe. A time-di...
In quantum information theory, the error exponents characterize the best rate of exponential convergence of the error towards 0 or 1, as the number of copies of the underlying resources increases. In ...
We focus on numerical study of the dynamical Ginzburg-Landau equations under the temporal gauge, and propose a decoupled numerical scheme based on the finite element method. For the variable A, the se...
We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the nonlinear Schr\"odinger equation (NLSE) with weak nonlinearity. By a new technique of regula...
Quantum error correction theory lies at the heart of universal quantum computing. So far, people do not find or realize good-enough error correction codes yet. In this talk, I will survey the foundati...
There is a big gap between the so-called NISQ (noisy intermediate-scale quantum) and FTQ (fault-tolerant quantum) computing. Recently, we introduced QEQ (quasi-exact quantum) computing, which lies in ...
In this paper, a posteriori error estimate of a weak Galerkin (WG) finite element method for solving H(curl)-elliptic problems is designed and analyzed. Firstly, a WG method for H(curl)-elliptic probl...
Produced by radar data or stereo remote sensing image pairs, global DEM datasets are one of the most important types for DEM data. Relative error relates to surface quality created by DEM data, so it ...
In this paper, we proposed the stochastic model of InSAR height measurement by considering the interferometric geometry of InSAR height measurement. The model directly described the relationship betwe...
Light Detection and Ranging or LiDAR data is a data source for deriving digital terrain model while Digital Elevation Model or DEM is usable within Geographical Information System or GIS. The aim of t...
It is known that the energy technique for a posteriori error analysis of finite element discretizations of parabolic problems yields suboptimal rates in the norm L1(0; T;L2 (Ω)): In thi...
We unify the formulation and analysis of Galerkin and Runge{Kutta methods for the time discretization of parabolic equations. This, together with the concept of reconstruction of the approximate sol...
We consider elliptic and parabolic variational equations and inequalities governed by integro-differential operators of order 2s ∈ (0,2]. Our main motivation is the pricing of European or Amer...
We derive a posteriori error estimates, which exhibit optimal global order, for a class of time stepping methods of any order that include Runge{Kutta Collocation (RK-C) methods and the continuous ...
Motivated by the pricing of American options for baskets we consider a parabolic variational inequality in a bounded polyhedral domain Ω ⊂ Rd with a continuous piecewise smooth obstacle. ...

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