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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Periodic homogenisation for $\phi^4_2$
周期均匀化 \phi^4_2 奇异SPDE
2023/5/10
We consider a periodic homogenisation problem for $\phi^4_2$, a toy model that combines both renormalisation in singular SPDEs and homogenisation. In this case, we show that two different orders of th...
Sensitivity computation of periodic and chaotic limit cycle oscillations
Sensitivity analysis linear response adjoint equation unsteady adjoint chaos statistical average
2012/4/19
Sensitivity analysis can be a powerful tool for multi-disciplinary design optimization of nonlinear flow structure interaction. For computing sensitivity of time averaged quantities in chaotic oscilla...
An O(N) Method for Rapidly Computing Periodic Potentials Using Accelerated Cartesian Expansions
Accelerated Cartesian Expansion ACE Fast Multipole Methods Periodic Systems
2011/8/4
Abstract: The evaluation of long-range potentials in periodic, many-body systems arises as a necessary step in the numerical modeling of a multitude of interesting physical problems. Direct evaluation...
The phenomenon of stochastic resonance (SR) is known to occur mostly in bistable systems.
However, the question of occurrence of SR in periodic potential systems is not conclusively resolved.Our pres...
Gaussian flexibility with Fourier accuracy: the periodic von Neumann basis set
Gaussian flexibility Fourier accuracy Neumann basis set
2010/11/5
We propose a new method for solving quantum mechanical problems, which combines the flexibility of Gaussian basis set methods with the numerical accuracy of the Fourier method. The method is based on ...