Sparse tensor recovery via combined first and second order high-accuracy total variation

Author(s):  
Mahdi S. Hosseini ◽  
Konstantinos N. Plataniotis
Author(s):  
Yan Tian

AbstractIn this paper, we provide further illustrations of prolate interpolation and pseudospectral differentiation based on the barycentric perspectives. The convergence rates of the barycentric prolate interpolation and pseudospectral differentiation are derived. Furthermore, we propose the new preconditioner, which leads to the well-conditioned prolate collocation scheme. Numerical examples are included to show the high accuracy of the new method. We apply this approach to solve the second-order boundary value problem and Helmholtz problem.


2006 ◽  
Vol 38 (7) ◽  
pp. 575-582
Author(s):  
O. M. Diaz ◽  
J. Prat ◽  
I. Tafur Monroy ◽  
H. de Waardt
Keyword(s):  

Author(s):  
Yi-Qun Tang ◽  
He Zhu ◽  
Er-Feng Du

This paper is concerned with an incremental iterative force recovery method in the second-order plastic hinge analysis of steel frames mainly modelled by a single element per member. Second-order beam-column elements are preferred in the direct analysis of steel frames due to their high accuracy and efficiency. However, formulations of these elements are complicated, and therefore they may have a problem of getting element force recovery in inelastic analysis. To overcome this difficulty, a novel incremental iterative force recovery method for second-order beam-column elements is proposed to perform plastic hinge analysis. The proposed method is derived more strictly and has good performance. Also, the section assemblage approach and the refined plastic hinge method are adopted in this study to consider the gradual degradation of section stiffness in the plastic hinge analysis. To verify the accuracy, efficiency and robustness of the proposed method, several benchmark examples are analyzed by the proposed method and compared with solutions reported by early researchers.


Author(s):  
Werner Trobin ◽  
Thomas Pock ◽  
Daniel Cremers ◽  
Horst Bischof

Author(s):  
Feng Jing ◽  
Junfeng Han ◽  
Meilin Xie ◽  
Peng Liu ◽  
Xubin Feng

2014 ◽  
Vol 4 (4) ◽  
pp. 368-385 ◽  
Author(s):  
Yu Fu ◽  
Weidong Zhao

AbstractAn explicit numerical scheme is proposed for solving decoupled forward backward stochastic differential equations (FBSDE) represented in integral equation form. A general error inequality is derived for this numerical scheme, which also implies its stability. Error estimates are given based on this inequality, showing that the explicit scheme can be second-order. Some numerical experiments are carried out to illustrate the high accuracy of the proposed scheme.


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