A POSTERIORI ERROR ANALYSIS OF TWO STAGE COMPUTATION METHODS WITH APPLICATION TO EFFICIENT DISCRETIZATION AND THE PARAREAL ALGORITHM [0.03%]
两阶段计算方法的后验误差分析及其在有效离散和PARAREAL算法中的应用
Jehanzeb Hameed Chaudhry,Don Estep,Simon Tavener et al.
Jehanzeb Hameed Chaudhry et al.
We consider numerical methods for initial value problems that employ a two stage approach consisting of solution on a relatively coarse discretization followed by solution on a relatively fine discretization. Examples include adaptive error...
ACCURATE SOLUTION AND GRADIENT COMPUTATION FOR ELLIPTIC INTERFACE PROBLEMS WITH VARIABLE COEFFICIENTS [0.03%]
变系数椭圆界面问题的精确解和梯度计算
Zhilin Li,Haifeng Ji,Xiaohong Chen
Zhilin Li
A new augmented method is proposed for elliptic interface problems with a piecewise variable coefficient that has a finite jump across a smooth interface. The main motivation is not only to get a second order accurate solution but also a se...
J Zhou,X Hu,L Zhong et al.
J Zhou et al.
Two new two-grid algorithms are proposed for solving the Maxwell eigenvalue problem. The new methods are based on the two-grid methodology recently proposed by Xu and Zhou [Math. Comp., 70 (2001), pp. 17-25] and further developed by Hu and ...
A COMPUTATIONAL MEASURE THEORETIC APPROACH TO INVERSE SENSITIVITY PROBLEMS II: A POSTERIORI ERROR ANALYSIS [0.03%]
基于计算的逆灵敏度问题的测度理论方法二：先验误差分析
T Butler,D Estep,J Sandelin
T Butler
In part one of this paper [T. Butler and D. Estep, SIAM J. Numer. Anal., to appear], we develop and analyze a numerical method to solve a probabilistic inverse sensitivity analysis problem for a smooth deterministic map assuming that the ma...
A MEASURE-THEORETIC COMPUTATIONAL METHOD FOR INVERSE SENSITIVITY PROBLEMS I: METHOD AND ANALYSIS [0.03%]
基于测度理论的反敏感性问题的计算方法I：方法和分析
J Breidt,T Butler,D Estep
J Breidt
We consider the inverse sensitivity analysis problem of quantifying the uncertainty of inputs to a deterministic map given specified uncertainty in a linear functional of the output of the map. This is a version of the model calibration or ...