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Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method

机译：随机传输方程具有随机传输方程的均匀光谱收敛性，随机输入和基于微宏分解的渐近保护方法

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Shi Jin; Jian-Guo Liu; Zheng Ma;
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1. Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method [J] . Shi Jin, Jian-Guo Liu, Zheng Ma Research in the Mathematical Sciences . 2017,第1期

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2. UNIFORM SPECTRAL CONVERGENCE OF THE STOCHASTIC GALERKIN METHOD FOR THE LINEAR SEMICONDUCTOR BOLTZMANN EQUATION WITH RANDOM INPUTS AND DIFFUSIVE SCALING [J] . Liu Liu Kinetic & related models . 2018,第5期

机译：随机输入的线性半导体Boltzmann方程的随机Galerkin方法均匀的光谱收敛性和扩散缩放
3. EFFICIENT STOCHASTIC ASYMPTOTIC-PRESERVING IMPLICIT-EXPLICIT METHODS FOR TRANSPORT EQUATIONS WITH DIFFUSIVE SCALINGS AND RANDOM INPUTS [J] . Jin Shi, Lu Hanqing, Pareschi Lorenzo SIAM Journal on Scientific Computing . 2018,第2期

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4. Stochastic Galerkin methods for transient Maxwell's equations with random geometries [C] . Yongtao Cheng, Li Jun Jiang IEEE International Symposium on Antennas and Propagation . 2016

机译：随机几何的麦克斯韦方程组的随机Galerkin方法
5. Structure-Preserving Discontinuous Galerkin Methods for Multi-Scale Kinetic Transport Equations and Nonlinear Optics Models [D] . Peng, Zhichao . 2020

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6. Convergence and stability of the exponential Euler method for semi-linear stochastic delay differential equations [O] . Ling Zhang -1

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7. Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs [O] . Nicolas Crouseilles, Shi Jin, Mohammed Lemou, 2020

机译：基于非线性几何光学的多尺度随机Galerkin方法，用于随机输入的高度振荡传输方程
8. Multilevel methods for transport equations in diffusive regimes [R] . Manteuffel, Thomas A., Ressel, Klaus 1993

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Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method

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