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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Improved error estimates of the splitting methods for the long-time dynamics for the weakly nonlinear Schrodinger equations
弱非线性薛定谔方程 长时间动力学 分裂方法 误差估计
2023/4/21
We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the nonlinear Schr\"odinger equation (NLSE) with weak nonlinearity. By a new technique of regula...
Investigating the time dynamics of geoelectrical signals measured in two seismotectonic environments in the Mediterranean region: the Southern Apennine chain (Southern Italy) and the Hellenic arc (Crete Island, Greece)
Geoelectrical signal time dynamics extreme events earthquake prediction
2015/9/28
In this paper we explore the time dynamics of geoelectrical signals measured in two seismic active areas in the Mediterranean region: the Southern Apennine chain (Italy) and the Hellenic arc (Crete Is...
We prove the existence of a compact global attractor for the dynamics of the forced critical surface quasi-geostrophic equation (SQG) and prove that it has finite fractal (box-counting) dimensio...
Long-time dynamics of the parabolic $p$-Laplacian equation
p-Laplacian equation attractors Long-time dynamics
2012/2/29
In this paper, we study the long-time behaviour of solutions of Cauchy problem for the parabolic $p$-Laplacian equation with variable coefficients. Under mild conditions on the coefficient of the prin...
C-Escalation and D-Escalation: A Theory of the Time-Dynamics of Conflict
atrocities counter-escalation polarization time-dynamics
2013/12/9
Conflict escalates through a series of feedback loops. On the micro level, conflict generates conditions for intense interaction rituals, and internal solidarity fuels external conflict. Perceived atr...
Non-existence of Markovian time dynamics for graphical models of correlated default
Markovian time dynamics graphical models correlated default
2010/10/21
Filiz et al. (2008) proposed a model for the pattern of defaults seen among a group of firms at the end of a given time period. The ingredients in the model are a graph, where the vertices correspond...
Short-Time Dynamics of Random-Bond Potts Ferromagnet with
Continuous Self-Dual Quenched Disorders
short-time dynamics random-bond Potts model
Monte Carlo simulation
2007/8/15
2002Vol.37No.6pp.745-750DOI:
Short-Time Dynamics of Random-Bond Potts Ferromagnet with
Continuous Self-Dual Quenched Disorders
PAN Zheng-Quan,1 YING He-Ping,1 CHEN Me-Li,2 and
GU ...