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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：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 ...
On the spectral analysis of second-order Markov chains
second order Markov chains trajectorial reversibility spectrum of non-reversible Markov kernels spectral gap improvement of speed of convergence discrete position-speed Markov chains homogeneous and Abelian second order Markov chains
2015/7/7
Second order Markov chains which are trajectorially reversible are considered. Contrary to the reversibility notion for usual Markov chains, no symmetry property can be deduced for the corresponding t...
A Spectral Analysis Approach for Experimental Designs
In this paper we show how the approach of spectral analysis generalizes the standard ANOVA-based techiques for studying data from designed experiments. Several examples are worked out in detail including a thorough analysis of Calvin's famous ice cream data.
2015/7/7
In this paper we show how the approach of spectral analysis generalizes the standard ANOVA-based techiques for studying data from designed experiments.Several examples are worked out in detail, includ...
Self-adjoint extensions and spectral analysis in the generalized Kratzer problem
Self-adjoint extensions spectral analysis generalized Kratzer problem
2010/12/13
We present a mathematically rigorous quantum-mechanical treatment of a one-dimensional nonrelativistic motion of a particle in the potential field V (x) = g1x−1 + g2x−2, x 2 R+ = [0,1) .Fo...