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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Backpropagation and sensitivity analysis in high-dimensional hyperbolic chaos
高维 双曲混沌 反向传播 敏感性分析
2023/4/26
We devise fast algorithms for computing the linear response, which is the parameter-gradient of long-time statistics of hyperbolic chaotic dynamical systems. The algorithm is in the form of progressiv...
METHODS FOR IMPROVING APPROXIMATE ACCURACY FOR HYPERBOLIC INTEGRODIFFERENTIAL EQUATIONS
Integrodifferential equations extrapola
2007/12/10
摘要 In this paper we study the higher accuracy methods-the extrapolation and defect correction for the semidiscrete Galerkin approximations to the solutions of hyperbolic integrodifferential equations....
HIGH ACCURACY ANALYSIS FOR FIRST ORDER HYPERBOLIC EQUATIONS BY PETROV-GALERKIN METHODS
Petrov-Galerldn methods global supercon
2007/8/7
In this paper we employ the Petrov-Galerbo method for the first order hyperbolic problems to get the Galerkin approtoation of high accuracy by means of the interpolation postprocessing, extrapolation ...
Using the interpolation theory of a family of linear operators and the Sobolev spaces, we introduce a quantity J_∈~4(λ) which depicts the shape of the boundary layer, andthen analyze the boundary sing...
We develop the interpolated finite element method to solve second-order hyperbolic equations. The standard linear finite element solution is used to generate a newsolution by quadratic interpolation o...
The distributed control approximation of pointwise control for the hyperbolic system isconsidered. First, it is, shown that there is a unique solution in C([0,T];L~2(Ω))for the hyperbolic system with ...