A Relaxed Interior Point Method for Low-Rank Semidefinite Programming Problems with Applications to Matrix Completion [0.03%]
低秩半定规划问题的松弛内点法及其在矩阵补全中的应用
Stefania Bellavia,Jacek Gondzio,Margherita Porcelli
Stefania Bellavia
A new relaxed variant of interior point method for low-rank semidefinite programming problems is proposed in this paper. The method is a step outside of the usual interior point framework. In anticipation to converging to a low-rank primal ...
On the computation of recurrence coefficients for univariate orthogonal polynomials [0.03%]
关于一元正交多项式递推系数的计算
Zexin Liu,Akil Narayan
Zexin Liu
Associated to a finite measure on the real line with finite moments are recurrence coefficients in a three-term formula for orthogonal polynomials with respect to this measure. These recurrence coefficients are frequently inputs to modern c...
Xinyu Cheng,Dong Li,Keith Promislow et al.
Xinyu Cheng et al.
Adaptive time stepping methods for metastable dynamics of the Allen-Cahn and Cahn-Hilliard equations are investigated in the spatially continuous, semi-discrete setting. We analyse the performance of a number of first and second order metho...
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems [0.03%]
基于SBP-SAT稳定性的有限元方法分析第一部分：线性问题
R Abgrall,J Nordström,P Öffner et al.
R Abgrall et al.
In the hyperbolic community, discontinuous Galerkin (DG) approaches are mainly applied when finite element methods are considered. As the name suggested, the DG framework allows a discontinuity at the element interfaces, which seems for man...
Collocation of Next-Generation Operators for Computing the Basic Reproduction Number of Structured Populations [0.03%]
结构化人群基本再生数的下一代算子配置方法
Dimitri Breda,Toshikazu Kuniya,Jordi Ripoll et al.
Dimitri Breda et al.
We contribute a full analysis of theoretical and numerical aspects of the collocation approach recently proposed by some of the authors to compute the basic reproduction number of structured population dynamics as spectral radius of certain...
Variable Smoothing for Convex Optimization Problems Using Stochastic Gradients [0.03%]
基于随机梯度的凸优化问题可变平滑算法研究
Radu Ioan Boţ,Axel Böhm
Radu Ioan Boţ
We aim to solve a structured convex optimization problem, where a nonsmooth function is composed with a linear operator. When opting for full splitting schemes, usually, primal-dual type methods are employed as they are effective and also w...
Simulation of THz Oscillations in Semiconductor Devices Based on Balance Equations [0.03%]
基于守恒方程的半导体太赫兹振荡模拟研究
Tobias Linn,Kai Bittner,Hans Georg Brachtendorf et al.
Tobias Linn et al.
Instabilities of electron plasma waves in high-mobility semiconductor devices have recently attracted a lot of attention as a possible candidate for closing the THz gap. Conventional moments-based transport models usually neglect time deriv...
A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay [0.03%]
时滞广义扩散方程全离散有限元法的后验误差估计
Wansheng Wang,Lijun Yi,Aiguo Xiao
Wansheng Wang
In this paper, we derive several a posteriori error estimators for generalized diffusion equation with delay in a convex polygonal domain. The Crank-Nicolson method for time discretization is used and a continuous, piecewise linear finite e...
An Equilibrated a Posteriori Error Estimator for Arbitrary-Order Nédélec Elements for Magnetostatic Problems [0.03%]
用于磁静力问题任意阶Nedelec元的平衡型后验误差估计子
Joscha Gedicke,Sjoerd Geevers,Ilaria Perugia
Joscha Gedicke
We present a novel a posteriori error estimator for Nédélec elements for magnetostatic problems that is constant-free, i.e. it provides an upper bound on the error that does not involve a generic constant. The estimator is based on equili...
Jan S Hesthaven,Fabian Mönkeberg
Jan S Hesthaven
Essentially non-oscillatory (ENO) and weighted ENO (WENO) methods on equidistant Cartesian grids are widely used to solve partial differential equations with discontinuous solutions. However, stable ENO/WENO methods on unstructured grids ar...