【摘 要】
：
Simplified imperfect models are useful in areas like climate science where the true climate system is vastly more complicated than any conceivable approximation.Simple statistical closure models using
【机 构】
：
Courant Inst.of Mathematical Sci.
论文部分内容阅读
Simplified imperfect models are useful in areas like climate science where the true climate system is vastly more complicated than any conceivable approximation.Simple statistical closure models using additional damping and enhanced noise in replacement of the higher order moments are constructed for resolving turbulent systems with quadratic nonlinearities.An information consistent strategy to improve imperfect model performance ensuring statistical equilibrium fidelity and optimal model responses to different perturbations is developed in a low-order subspace.
其他文献
Most systems targeted by mathematical modeling in modern science and engineering are multi-physical and multi-scale.These models involve complex coupled nonlinear systems of PDEs built from different
The control and optimization of multi-physics problems requires the construction of reduced models.There are two major approaches,either one starts with a fine grid model and approximates it with a re
In this talk,we will report some works on designing optimal finite element methods and efficient solvers for multi-phase problems.In particular,we will focus on dealing with the effect of discontinuou
We consider mixed variational methods for fourth-order boundary value problems.Typical examples are plate bending problems and the linearized Cahn-Hilliard equation(after discretization in time).It wi
丙烯酸甲酯氢甲酰化反应是重要的有机反应之一,虽然丙烯酸甲酯氢甲酰化活性低于辛烯[1],但是其支链产物是重要的有机反应中间体,具有重要的商业价值.因此,我们通过浸渍-化学还原的方法合成了二氧化钛纳米管负载非晶态硼钴合金(Co-B/TNTs)催化剂并探讨了其对丙烯酸甲酯氢甲酰化反应的活性.采用TEM,ICP-AES,XPS,XRD 等方法对催化剂进行了表征.研究了反应时间,溶剂,压力等因素对丙烯酸甲酯
We present a numerical method to compute the transition rates including the entropy effect,of the thermally activated events in dislocation dynamics on the atomistic scale,based on the transition stat
In the aftermath of the worldwide credit crisis of the years 2007 and 2008 and recognizing the fact that banks hold substantial positions in structured and potentially illiquid credit instruments in t
This pricing problem of credit contingent interest rate swap is assumed to be equivalent to the estimation of CVA for interest rate swaps.In most practices,it is implicitly assumed the default probabi
Point clouds sampled from manifolds are transformed to new point clouds by Laplace-Beltrami(LB)eigenmap defined intrinsically on the manifolds which is invariant under isometric transformation of the
We present variational methods for semi-supervised and unsupervised data classification involving graph cuts,which are equivalent to minimizing the graph total variation of an assignment function.We d