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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Well-balanced positivity-preserving high-order discontinuous Galerkin methods for Euler equations with gravitation
引力 欧拉方程 高阶间断 Galerkin方法
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2023/11/29
We develop high order discontinuous Galerkin (DG) methods with Lax-Friedrich fluxes for Euler equations under gravitational fields. Such problems may yield steady-state solutions and the density and p...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Arbitrarily high-order cut-off methods to preserve maximum bound principle for Allen-Cahn equations
Allen-Cahn equations 最大界限原理 任意高阶 截止方法
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2023/4/14
A new class of high-order maximum principle preserving numerical methods is proposed for solving the semilinear Allen-Cahn equation. We start with the method consists of a $k$th-order multistep expone...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Calculation of high-order harmonic generation of atoms and molecules by combining time series prediction and neural networks
时间序列预测 神经网络计算 原子分子 高阶谐波生成
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2023/5/9
High-order harmonic generation (HHG) from the interaction of ultra-intense laser pulses with atoms is an important tabletop short-wave coherent light source. Accurate quantum simulations of it present...