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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Spectral instability of Electronic Euler-Poisson System
电子 Euler-Poisson系统 谱不稳定性
2023/12/11
The focus of this presentation is the spectral (in-)stability of periodic waves for the electronic Euler-Poisson system, a hydrodynamical model for understanding electron dynamics in plasmas. It is fo...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Structure-Preserving Spectral Method for Large-Scale MHD System Simulation
MHD 系统仿真 保结构谱
2023/11/6
Structure-preserving numerical methods are crucial for achieving long-time accurate, stable, consistent and physically meaningful simulations. In this talk, we present H^1 and H(div) conforming spectr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On forward/inverse spectral problems, approximation problems and multiple integral formulae for non-smooth solitons
非光滑孤子 正/逆谱问题 近似问题 多重积分公式
2023/4/28
A class of nonlinear integrable PDEs admit non-smooth solitary wave solutions as certain special weak solutions. These solutions can be used to capture main attributes of solutions of these PDEs, e.g....
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Spectral rigidity and joint integrability for Anosov diffeomorphisms on tori
环形 阿诺索夫微分同胚 谱刚度 联合可积性
2023/4/14
In this talk, we address on the strong rigidity properties from joint integrability in the setting of Anosov diffeomorphisms on tori. More specifically, for an irreducible Anosov diffeomorphism with s...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometry and recovery of spectral-sparse signals
频谱稀疏信号 几何 恢复
2023/4/26
Spectral-sparse signals are those sparse in the Fourier domain and are very common in wireless communications, radar, sonar, medical imaging and other applications. Their recovery from noisy, limited ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Weak multisymplectic spectral integrators with a resolution of Gibbs phenomenon
吉布斯现象 分辨率 弱多辛谱 积分器
2023/4/28
We will report our recent work on weak multisymplectic spectral integrators for a wide range of nonsmooth Hamiltonian partial differential equations, which appear in quite a few physical applications ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The spectral collocation method for the nonlocal problem with weak singularity
弱奇点 非局部问题 光谱搭配
2023/5/6
介绍求解一维弱奇异非局部扩散问题的谱配位法，建立了相应的Gauss-Jacobi 积分公式，并将其推广至高维非局部问题的谱配置点法，相关的理论与实验检验了算法的精度和渐进相容性。