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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convergence analysis of one-point large deviations rate functions of numerical methods for stochastic wave equations with small noise
小噪声 随机波动方程 数值方法 单点大偏差率 函数收敛分析
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2023/4/21
In this talk, we present the pointwise convergence of one-point large deviations rate functions (LDRFs) of the spatial finite difference method and further the fully discrete method based on the tempo...
Four-vector vs. four-scalar representation of the Dirac wave function
Four-vector four-scalar representation Dirac wave function
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2011/3/2
In a Minkowski spacetime, one may transform the Dirac wave function under the spin group, as one transforms coordinates under the Poincar´e group.
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation
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2010/12/28
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Convergence of frozen Gaussian approximation for high frequency wave propagation
Convergence of frozen Gaussian high frequency wave propagation
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2011/2/25
The frozen Gaussian approximation provides a highly efficient computational method for high frequency wave propagation. The derivation of the method is based on asymptotic analysis. In this paper, fo...
Coordinate space wave function from the Algebraic Bethe Ansatz for the inhomogeneous six-vertex model
space wave function Algebraic Bethe Ansatz inhomogeneous six-vertex model
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2010/4/1
We derive the coordinate space wave function for the inhomogeneous six-vertex model from the Algebraic Bethe Ansatz. The result is in agreement with the result first obtained long time ago by Yang and...
A Numerical Solution of Wave Equation Arising in Non-Homogeneous Cylindrical Shells
Hyperbolic equation Difference schemes Stability
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2010/2/25
A numerical solution of wave equation arising in non-homogeneous cylindrical shells\ is considered. Stable numerical schemes are developed. The stability estimates for the solution of these difference...