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A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:  Zhao, Yue;  Mao, Zhiping;  Guo, Ling;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载：58/0  |  提交时间：2023/02/07
Uncertainty quantification  Anomalous transport  Quasi Monte Carlo simulation  Generalized polynomial chaos  Long-time integration  Poly-fractonomials  
Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 432, 页码: 15
作者:  Weng, Weifang;  Zhang, Guoqiang;  Zhang, Minghe;  Zhou, Zijian;  Yan, Zhenya
收藏  |  浏览/下载：126/0  |  提交时间：2022/04/29
N-component NLS equation  Mixed non-zero and zero backgrounds  Semi-rational rogon-soliton solutions  Soliton-like solutions  Asymptotic analysis  
Algorithms yield upper bounds in differential algebra 期刊论文
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2021, 页码: 23
作者:  Li, Wei;  Ovchinnikov, Alexey;  Pogudin, Gleb;  Scanlon, Thomas
收藏  |  浏览/下载：102/0  |  提交时间：2022/04/02
delay PDEs  elimination of unknowns  uniform bounds  oracle machine  
Conformal oscillator representations of orthosymplectic Lie superalgebras 期刊论文
JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, 卷号: 225, 期号: 3, 页码: 24
作者:  Xu, Xiaoping
收藏  |  浏览/下载：149/0  |  提交时间：2021/01/14
Orthosymplectic Lie superalgebra  Supersymmetric differential operator  Oscillator representation  Irreducible module  Polynomial algebra  Exponential-polynomial function  
Descent of Ordinary Differential Equations with Rational General Solutions 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 10
作者:  Feng, Shuang;  Feng, Ruyong
收藏  |  浏览/下载：133/0  |  提交时间：2021/01/14
Algebraic ordinary differential equation  differential descent  rational general solution  
EFFECTIVE DEFINABILITY OF KOLCHIN POLYNOMIALS 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 卷号: 148, 期号: 4, 页码: 1455-1466
作者:  Freitag, James;  Sanchez, Omar Leon;  Li, Wei
收藏  |  浏览/下载：129/0  |  提交时间：2020/05/24
Differential fields  Kolchin polynomial  effective definability in families  
Partial differential Chow forms and a type of partial differential Chow varieties 期刊论文
COMMUNICATIONS IN ALGEBRA, 2020, 页码: 30
作者:  Li, Wei
收藏  |  浏览/下载：145/0  |  提交时间：2020/05/24
Kolchin polynomial  partial differential Chow form  partial differential Chow variety  quasi-generic differential intersection theory  
On the Topology and Isotopic Meshing of Plane Algebraic Curves 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 卷号: 33, 期号: 1, 页码: 230-260
作者:  Jin, Kai;  Cheng, Jinsan
收藏  |  浏览/下载：101/0  |  提交时间：2020/05/24
Interval polynomial  isotopic meshing  plane curve  topology  
Identifying weak focus and center in a convection model 期刊论文
APPLIED MATHEMATICS LETTERS, 2020, 卷号: 100, 页码: 7
作者:  Guo, Laigang;  Yu, Pei;  Chen, Yufu
收藏  |  浏览/下载：133/0  |  提交时间：2020/05/24
Convection model  3-dimensional quadratic system  Normal form  Limit cycle  
DYNAMIC EVALUATION OF EXPONENTIAL POLYNOMIAL CURVES AND SURFACES VIA BASIS TRANSFORMATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 5, 页码: A3401-A3420
作者:  Yang, Xunnian;  Hong, Jialin
收藏  |  浏览/下载：127/0  |  提交时间：2020/05/24
curves and surfaces  linear differential operator  exponential polynomial  dynamic evaluation  basis transformation