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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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy/dissipation-preserving split Birkhoffian multi-symplectic methods for Maxwell’s equations
麦克斯韦方程组 能量/耗散守恒分裂 Birkhofian 多辛方法
2023/5/18
We propose a novel kind of energy/dissipation-preserving split Birkhoffian multi-symplectic (S-BMS) methods for Maxwell's equations with dissipation terms. After investigating the non-autonomous and a...
5th International Conference on Particle-Based Methods
5th International Conference Particle-Based Methods
2017/7/3
The V International Conference on Particle-Based Methods (PARTICLES 2017) will be organised on 26 - 28 September 2017 in Hannover, Germany. The four previous conferences on this series were held in Ba...
Approximate analysis of search algorithms with “physical” methods
Statistical physics analysis of algorithms stochastic input the physical concept
2015/8/20
An overview of some methods of statistical physics applied to the analysis of algorithms for optimization problems (satisfiability of Boolean constraints, vertex cover of graphs, decoding, ...) with d...
I discuss the progress in the use of analytic techniques for low energy QCD, in particular as applied to kaon physics. These methods are becoming increasingly powerful and we have gained a good deal o...
Multiscale Asymptotic Expansion and Finite Element Methods For the Mixed Boundary Value Problems of Second Order Elliptic Equation in Perforated Domains
Homogenization Multiscale asymptotic expansion Elliptic equationof second order with rapidly oscillating coefficients Perforated domain
2012/8/8
In this paper, we will discuss the mixed boundary value problems for
the second order elliptic equation with rapidly oscillating coefficients in perforated
domains, and will present the higher-order...
Implicit particle methods and their connection with variational data assimilation
Implicit particle methods variational data assimilation Data Analysis Statistics and Probability
2012/5/29
The implicit particle filter is a sequential Monte Carlo method for data assimilation that guides the particles to the high-probability regions via a sequence of steps that includes minimizations. We ...
Capturing correlations in chaotic diffusion by approximation methods
Capturing correlations chaotic diffusion approximation methods
2011/9/21
Abstract: We investigate three different methods for systematically approximating the diffusion coefficient of a deterministic random walk on the line which contains dynamical correlations that change...
Hydrodynamical Methods in Last Passage Percolation Models
Hydrodynamical Method Last Passage Percolation Models Probability
2011/7/28
Abstract: These lecture notes are written as reference material for the Advanced Course "Hydrodynamical Methods in Last Passage Percolation Models", given at the 28th Coloquio Brasileiro de Matematica...
Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
Non-Abelian Vortices Supersymmetric Gauge Field Theory High Energy Physics - Theory
2011/7/27
Abstract: Vortices in supersymmetric gauge field theory are important constructs in a basic conceptual phenomenon commonly referred to as the dual Meissner effect which is responsible for color confin...
Comparison of analytical and numerical methods and the effect of bath coupling on the quantum decoherence
comparison analytical and numerical methods quantum decoherence
2010/11/8
The dynamics of a qubit in a structured environment is investigated theoretically. One point of view of the model is the spin-boson model with a Lorentz shaped spectral density. An alternative view is...
Chaotic Maps, Hamiltonian Flows, and Holographic Methods
Chaotic Maps Hamiltonian Flows Holographic Methods
2010/4/1
Holographic functional methods are introduced as probes of discrete time-stepped maps that lead to chaotic behavior. The methods provide continuous time interpolation between the time steps, thereby r...
Modelling Extreme-Mass-Ratio Inspirals using Pseudospectral Methods
Gravitational Waves Astronomy Extreme-Mass-Ratio Inspirals Self-Force
2010/3/18
We introduce a new time-domain method for computing the self-force acting on a scalar particle in a Schwarzschild geometry. The principal feature of our method consists in the division of the spatial ...
Instantonic Methods for Quantum Tunneling in Finite Size
Path Integral Methods Finite Size Systems Instantons
2010/7/8
The instantonic approach for a f4 model potential is reexamined in the asymptotic limit. The path integral of the system is derived in semiclassical approximation expanding the action around the class...
High-Order Compact Implicit Difference Methods For Parabolic Equations in Geodynamo Simulation
Parabolic Equations Geodynamo Simulation magnetohydrodynamic
2009/9/4
A series of compact implicit schemes of fourth and sixth orders are developed for solving differential equations involved in geodynamics simulations. Three illustrative examples are described to demon...