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The Fucik spectrum of Schrodinger operators in strongly indefinite cases 期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 卷号: 30, 期号: 2, 页码: 28
作者:  Song, Linjie
收藏  |  浏览/下载：128/0  |  提交时间：2023/02/07
Fucik spectrum  Schrodinger operators  Essential spectrum  Jumping nonlinearities  
Numerical computation of probabilities for nonlinear SDEs in high dimension using Kolmogorov equation br 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 436, 页码: 17
作者:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
收藏  |  浏览/下载：89/0  |  提交时间：2023/02/07
High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
作者:  Zhong, Ming;  Yan, Zhenya
收藏  |  浏览/下载：75/0  |  提交时间：2023/02/07
Integrable fractional nonlinear wave equations  Fourier neural operator  Deep learning  Data-driven soliton mapping  Activation function  Channel of fully-connected layer  
Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 卷号: 48, 期号: 5, 页码: 23
作者:  Ding, Qianqian;  Mao, Shipeng;  Sun, Jiaao
收藏  |  浏览/下载：73/0  |  提交时间：2023/02/07
Magnetohydrodynamics  Finite element method  H(div)-conforming element  Error analysis  Pressure-robust  
Algorithms for the Prize-Collecting $k$-Steiner Tree Problem 期刊论文
TSINGHUA SCIENCE AND TECHNOLOGY, 2022, 卷号: 27, 期号: 5, 页码: 785-792
作者:  Han, Lu;  Wang, Changjun;  Xu, Dachuan;  Zhang, Dongmei
收藏  |  浏览/下载：148/0  |  提交时间：2022/04/29
Steiner trees  Costs  Approximation algorithms  prize-collecting  Steiner tree  approximation algorithm  
Hermite-Pade approximations with Pfaffian structures: Novikov peakon equation and integrable lattices 期刊论文
ADVANCES IN MATHEMATICS, 2022, 卷号: 402, 页码: 45
作者:  Chang, Xiang-Ke
收藏  |  浏览/下载：63/0  |  提交时间：2023/02/07
Hermite-Pade approximation  Biorthogonal polynomials  Novikov equation  Multipeakons  

Maximal L-p-L-q regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation

 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 101-134
作者:  Hao, Chengchun;  Zhang, Wei
收藏  |  浏览/下载：79/0  |  提交时间：2023/02/07
Oberbeck-Boussinesq approximation  Free boundary problem  

Maximal L-p-L-q regularity

  Resolvent estimate  
STOCHASTIC DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS: MARKOV PROPERTY, INVARIANT MEASURE AND NUMERICAL APPROXIMATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 页码: 43
作者:  Chen, Chuchu;  Hong, Jialin;  Lu, Yulan
收藏  |  浏览/下载：121/0  |  提交时间：2023/02/07
   Invariant measure  Markov chain  weak convergence  backward Euler method  stochastic differential equations with piecewise continuous arguments  
Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 40
作者:  Chen, Chuchu;  Cui, Jianbo;  Hong, Jialin;  Sheng, Derui
收藏  |  浏览/下载：121/0  |  提交时间：2022/06/21
density  convergence order  accelerated exponential Euler scheme  stochastic heat equation  Malliavin calculus  
Optimal convergence of finite element approximation to an optimization problem with PDE constraint* 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4, 页码: 45
作者:  Gong, Wei;  Tan, Zhiyu;  Zhou, Zhaojie
收藏  |  浏览/下载：151/0  |  提交时间：2022/04/29
inverse source problem  optimal control  finite element method  a priori error estimate  a posteriori error estimate  adaptivity  rate optimality