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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Integral equations with bubble-type kernel via the method of moving spheres
运动球体 气泡型核 积分方程
2023/4/27
In this talk, I will describe a moving sphere approach to a class of integral equations with bubble-type kernel. This class of equations comes from higher-order elliptic equations on the standard sphe...
A NEW PARALLEL KERNEL-INDEPENDENT FAST MULTIPOLE METHOD
Fast multipole methods adaptive algorithms massively parallel computing boundary integral equations N-body problems viscous flows
2015/7/15
We present a new adaptive fast multipole algorithm and its parallel implementation. The algorithm is kernel-independent in the sense that the evaluation of pairwise interactions does not rely on any a...
Systematic method of generating new integrable systems via inverse Miura maps
modified integrable systems Lax representation (inverse) Miura transformation
2010/12/28
We provide a new natural interpretation of the Lax representation for an integrable system; that is,
A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres
Navier-Stokes equations unit sphere vector spherical harmonics
2010/12/8
In this work, we describe, analyze, and implement a pseudospec-tral quadrature method for a global computer modeling of the incompressible surface Navier-Stokes equations on the rotating unit sphere. ...
Berry-Esséen Bounds for Long Memory Moving Averages via Stein's Method and Malliavin Calculus
limit theorems long memory moving average multiple stochastic integrals Malliavin calculus weak convergence
2010/12/1
Using the Stein method on Wiener chaos introduced in [10] we prove Berry-Ess´een bounds for long memory moving averages.
Classification of conservative hydrodynamic chains. Vlasov type kinetic equation, Riemann mapping and the method of symmetric hydrodynamic reductions
hydrodynamic chains kinetic equation hydrodynamic reductions
2010/4/7
A complete classification of integrable conservative hydrodynamic chains is presented. These hydrodynamic chains are written via special coordinates -- moments, such that right hand sides of these inf...
Strong Convergence Theorems by an Extragradient Method for Solving Variational Inequalities and Equilibrium Problems in a Hilbert Space
Nonexpansive mapping Equilibrium problem Fixed point Lipschitz-continuous mappings Variational inequality Extragradient method
2010/2/25
In this paper, we introduce an iterative process for finding the common element of the set of fixed points of a nonexpansive mapping, the set of solutions of an equilibrium problem and the set of solu...