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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Unconditional stability and error estimates of FEMs for the electro-osmotic flow in micro-channels
微通道 电渗流FEM 无条件稳定性 误差估计
2023/5/15
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Error Exponents and Rényi Information Divergence in Quantum Information
量子信息 误差指数 仁义信息发散
2023/4/28
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 ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy stability and error analysis of a maximum bound principle preserving scheme for the dynamical Ginzburg-Landau equations of Superconductivity
超导动力学 金茨堡-朗道方程 最大界界原理 能量稳定性 误差分析
2023/4/25
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Improved error estimates of the splitting methods for the long-time dynamics for the weakly nonlinear Schrodinger equations
弱非线性薛定谔方程 长时间动力学 分裂方法 误差估计
2023/4/21
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Quantum Error Correction: Foundation and Landscape
量子纠错 基础景观 量子纠错理论
2023/4/18
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Quantum Error Correction: Fault-tolerance and Universality
量子纠错 容错性 通用性
2023/4/17
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 ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A posteriori error estimate for a WG method of H(curl)-elliptic problems
H（卷曲） 椭圆问题 WG方法 后验误差估计
2023/4/23
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...