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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:49/0  |  提交时间:2023/02/07
Hermite-Pade approximation  Biorthogonal polynomials  Novikov equation  Multipeakons  
Discrete Invariant Curve Flows, Orthogonal Polynomials, and Moving Frame 期刊论文
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 卷号: 2021, 期号: 14, 页码: 11050-11092
作者:  Wang, Bao;  Chang, Xiang-Ke;  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载:119/0  |  提交时间:2022/04/02
Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2021, 卷号: 31, 期号: 2, 页码: 23
作者:  Chang, Xiang-Ke;  Li, Shi-Hao;  Tsujimoto, Satoshi;  Yu, Guo-Fu
收藏  |  浏览/下载:138/0  |  提交时间:2021/04/26
Two-parameter Cauchy two-matrix model  Toda-type lattice  Gram determinant technique  
The Cauchy Two-Matrix Model, C-Toda Lattice and CKP Hierarchy 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2019, 卷号: 29, 期号: 1, 页码: 3-27
作者:  Li, Chunxia;  Li, Shi-Hao
收藏  |  浏览/下载:188/0  |  提交时间:2019/03/11
Matrix models  Cauchy biorthogonal polynomials  C-Toda lattice  CKP hierarchy  tau-Function theory  
Partial-Skew-Orthogonal Polynomials and Related Integrable Lattices with Pfaffian Tau-Functions 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 卷号: 364, 期号: 3, 页码: 1069-1119
作者:  Chang, Xiang-Ke;  He, Yi;  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载:148/0  |  提交时间:2019/03/05
Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants 期刊论文
NONLINEARITY, 2018, 卷号: 31, 期号: 9, 页码: 4393-4422
作者:  Chen, Xiao-Min;  Hu, Xing-Biao;  Mueller-Hoissen, Folkert
收藏  |  浏览/下载:149/0  |  提交时间:2018/09/08
Volterra lattice hierarchy  Hankel determinant  orthogonal polynomials  Hirota bilinearization  non-isospectral  
Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property 期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 6, 页码: 1063-1078
作者:  Chang, Xiangke;  He, Yi;  Hu, Xingbiao;  Li, Shihao;  Tam, Hon-wah;  Zhang, Yingnan
收藏  |  浏览/下载:141/0  |  提交时间:2018/07/30
integrable system  skew orthogonal polynomial  convergence acceleration algorithm  Laurent property  
coupledmodifiedkdvequationsskeworthogonalpolynomialsconvergenceaccelerationalgorithmsandlaurentproperty 期刊论文
sciencechinamathematics, 2018, 卷号: 61, 期号: 6, 页码: 1063
作者:  Chang Xiangke;  He Yi;  Hu Xingbiao;  Li Shihao;  Tam Hon Wah;  Zhang Yingnan
收藏  |  浏览/下载:148/0  |  提交时间:2020/01/10
A CHRISTOFFEL FUNCTION WEIGHTED LEAST SQUARES ALGORITHM FOR COLLOCATION APPROXIMATIONS 期刊论文
MATHEMATICS OF COMPUTATION, 2017, 卷号: 86, 期号: 306, 页码: 1913-1947
作者:  Narayan, Akil;  Jakeman, John D.;  Zhou, Tao
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
A GENERALIZED SAMPLING AND PRECONDITIONING SCHEME FOR SPARSE APPROXIMATION OF POLYNOMIAL CHAOS EXPANSIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 3, 页码: A1114-A1144
作者:  Jakeman, John D.;  Narayan, Akil;  Zhou, Tao
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
uncertainty quantification  polynomial chaos  compressed sensing