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ON LAURENT BIORTHOGONAL POLYNOMIALS AND PAINLEVE-TYPE EQUATIONS 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 页码: 13
作者:  Yue, Xiao-Lu;  Chang, Xiang-Ke;  Hu, Xing-Biao;  Liu, Ya-Jie
收藏  |  浏览/下载：110/0  |  提交时间：2023/02/07
   Laurent biorthogonal polynomials  three-term recurrence relation  structure relation  compatibility condition  Painlev? equations  
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：154/0  |  提交时间：2022/04/02
Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via pfaffians 期刊论文
NUMERICAL ALGORITHMS, 2021, 页码: 24
作者:  Liu, Ya-Jie;  Chang, Xiang-Ke;  He, Yi;  Hu, Xing-Biao
收藏  |  浏览/下载：147/0  |  提交时间：2021/10/26
Shanks transformation  Convergence acceleration algorithms  Pfaffians  
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：169/0  |  提交时间：2021/04/26
Two-parameter Cauchy two-matrix model  Toda-type lattice  Gram determinant technique  
Numerical calculation of N-periodic wave solutions to coupled KdV-Toda-type equations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021, 卷号: 477, 期号: 2245, 页码: 21
作者:  Zhang, Yingnan;  Hu, Xingbiao;  Sun, Jianqing
收藏  |  浏览/下载：147/0  |  提交时间：2021/04/26
N-periodic wave solution  coupled KdV-Toda-type equation  Riemann's -function  the direct method  
Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 卷号: 53, 期号: 39, 页码: 23
作者:  Hu, Xingbiao;  Pan, Yan;  Sun, Jianqing;  Wang, Hui;  Zhang, Yingnan
收藏  |  浏览/下载：167/0  |  提交时间：2021/01/14
mKdV-sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
Decoding algorithm as a moment problem related to the extended Lotka-Volterra system 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 卷号: 53, 期号: 5, 页码: 28
作者:  Pan, Yan;  Chang, Xiang-Ke;  Hu, Xing-Biao
收藏  |  浏览/下载：169/0  |  提交时间：2020/05/24
BCH-Goppa code  extended Lotka-Volterra lattice  moment problem  
Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order 期刊论文
NUMERICAL ALGORITHMS, 2020, 卷号: 83, 期号: 2, 页码: 593-627
作者:  Chang, Xiang-Ke;  He, Yi;  Hu, Xing-Biao;  Sun, Jian-Qing;  Weniger, Ernst Joachim
收藏  |  浏览/下载：164/0  |  提交时间：2020/05/24
Convergence acceleration algorithm  Sequence transformation  Epsilon algorithm  Rho algorithm  
Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 页码: 33
作者:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Szmigielski, Jacek;  Zhedanov, Alexei
收藏  |  浏览/下载：151/0  |  提交时间：2020/05/24
A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 26, 期号: 2, 页码: 579-598
作者:  Thang, Yingnan;  Hu, Xingbiao;  He, Yi;  Sun, Jianqing
收藏  |  浏览/下载：179/0  |  提交时间：2020/01/10
Toda-type equation  N-periodicwave solution  Riemann's theta-function  Gauss-Newton method