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Data-driven rogue waves and parameters discovery in nearly integrable PT-symmetric Gross-Pitaevskii equations via PINNs deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 439, 页码: 12
作者:  Zhong, Ming;  Gong, Shibo;  Tian, Shou-Fu;  Yan, Zhenya
收藏  |  浏览/下载：69/0  |  提交时间：2023/02/07
GeneralizedGrossPitaevskiiequation  ComplexPT-symmetricpotentials  Physics-informeddeepneuralnetworks  Data-driven rogue waves and parameters discovery discovery  
N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method 期刊论文
WAVE MOTION, 2022, 卷号: 114, 页码: 13
作者:  Zhang, Minghe;  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：76/0  |  提交时间：2023/02/07
Multi-component third-fifth-order mKdV  equations  Lax pair  Riemann-Hilbert approach  Soliton solutions  Breathers  
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：52/0  |  提交时间：2023/02/07
Hermite-Pade approximation  Biorthogonal polynomials  Novikov equation  Multipeakons  
Subset selection for matrices with fixed blocks 期刊论文
ISRAEL JOURNAL OF MATHEMATICS, 2021, 页码: 26
作者:  Xie, Jiaxin;  Xu, Zhiqiang
收藏  |  浏览/下载：136/0  |  提交时间：2021/10/26
Multiscale asymptotic analysis and computations for Steklov eigenvalue problem in periodically perforated domain 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 页码: 21
作者:  Ye, Shuyu;  Ma, Qiang;  Hu, Bing;  Cui, Junzhi;  Jiang, Xue
收藏  |  浏览/下载：166/0  |  提交时间：2021/10/26
corrector equations  error estimation  finite element computation  second-order two-scale asymptotic analysis  Steklov eigenvalue problem  
An initial-boundary value problem for the general three-component nonlinear Schrodinger equations on a finite interval 期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2021, 卷号: 86, 期号: 3, 页码: 427-489
作者:  Yan, Zhenya
收藏  |  浏览/下载：134/0  |  提交时间：2021/10/26
general three-component nonlinear Schrodinger equations  initial-boundary value problem  inverse scattering  Riemann-Hilbert problem  global relation  Dirichlet and Neumann problems  Gel'fand-Levitan-Marchenko representation  
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：151/0  |  提交时间：2021/04/26
Fractional optimal control problem  Numerical discretizations  Block two-by-two linear system  Preconditioning  Spectral bounds  Krylov subspace iteration methods  Convergence property  
Spectral Method for Phase Retrieval: An Expectation Propagation Perspective 期刊论文
IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, 卷号: 67, 期号: 2, 页码: 1332-1355
作者:  Ma, Junjie;  Dudeja, Rishabh;  Xu, Ji;  Maleki, Arian;  Wang, Xiaodong
收藏  |  浏览/下载：165/0  |  提交时间：2021/04/26
Phase measurement  Message passing  Tools  Signal processing algorithms  Prediction algorithms  Numerical models  Approximation algorithms  Phase retrieval  spectral method  coded diffraction pattern  expectation propagation (EP)  approximate message passing (AMP)  state evolution  orthogonal AMP  vector AMP  
Remarks on automorphism and cohomology of finite cyclic coverings of projective spaces 期刊论文
MATHEMATICAL RESEARCH LETTERS, 2021, 卷号: 28, 期号: 3, 页码: 785-822
作者:  Lyu, Renjie;  Pan, Xuanyu
收藏  |  浏览/下载：95/0  |  提交时间：2021/10/26
AN ACCURATE HYPERSINGULAR BOUNDARY INTEGRAL EQUATION METHOD FOR DYNAMIC POROELASTICITY IN TWO DIMENSIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 卷号: 43, 期号: 3, 页码: B784-B810
作者:  Zhang, Lu;  Xu, Liwei;  Yin, Tao
收藏  |  浏览/下载：113/0  |  提交时间：2021/10/26
poroelasticity  hyper-singular operator  Calderon relation  regularized integral equation