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Jiaxiang Cai
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2020 – today
- 2024
- [j31]Jiaxiang Cai:
Efficient invariant-preserving scheme for the N-coupled nonlinear Schrödinger equations. Appl. Math. Lett. 157: 109166 (2024) - [j30]Xin Ye, Jiaxiang Cai, Loon Ching Tang, Zhi-Sheng Ye:
Statistical Modeling of the Effectiveness of Preventive Maintenance for Repairable Systems. Technometrics 66(1): 118-130 (2024) - 2023
- [j29]Jiaxiang Cai, Haihui Zhang:
High-order conservative schemes for the nonlinear Schrödinger equation in the semiclassical limit. Appl. Math. Lett. 144: 108703 (2023) - 2022
- [j28]Jiaxiang Cai:
Efficient dissipation-preserving scheme for the damped nonlinear Schrödinger equation in three dimensions. Appl. Math. Lett. 132: 108129 (2022) - [j27]Jiaxiang Cai, Bangyu Shen:
Linearly implicit local energy-preserving algorithm for a class of multi-symplectic Hamiltonian PDEs. Comput. Appl. Math. 41(1) (2022) - [j26]Jiaxiang Cai, Zhi-Sheng Ye:
Optimal design of accelerated destructive degradation tests with block effects. IISE Trans. 54(1): 73-90 (2022) - [j25]Yonghui Bo, Jiaxiang Cai, Wenjun Cai, Yushun Wang:
The exponential invariant energy quadratization approach for general multi-symplectic Hamiltonian PDEs. J. Comput. Appl. Math. 405: 113955 (2022) - [j24]Jiaxiang Cai, Hua Liang:
Compact Exponential Conservative Approaches for the Schrödinger Equation in the Semiclassical Regimes. SIAM J. Sci. Comput. 44(3): 585- (2022) - 2021
- [j23]Jiaxiang Cai, Zhi-Sheng Ye:
Contamination Source Identification: A Bayesian Framework Integrating Physical and Statistical Models. IEEE Trans. Ind. Informatics 17(12): 8189-8197 (2021) - 2020
- [j22]Jiaxiang Cai, Haihui Zhang:
Efficient schemes for the damped nonlinear Schrödinger equation in high dimensions. Appl. Math. Lett. 102: 106158 (2020) - [j21]Jiaxiang Cai, Jie Shen:
Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs. J. Comput. Phys. 401 (2020)
2010 – 2019
- 2019
- [j20]Jiaxiang Cai, Juan Chen, Bin Yang:
Efficient energy-preserving wavelet collocation schemes for the coupled nonlinear Schrödinger-Boussinesq system. Appl. Math. Comput. 357: 1-11 (2019) - [j19]Jiaxiang Cai, Bin Yang, Chun Zhang:
Efficient mass- and energy-preserving schemes for the coupled nonlinear Schrödinger-Boussinesq system. Appl. Math. Lett. 91: 76-82 (2019) - [j18]Jiaxiang Cai, Yushun Wang, Chaolong Jiang:
Local structure-preserving algorithms for general multi-symplectic Hamiltonian PDEs. Comput. Phys. Commun. 235: 210-220 (2019) - 2018
- [j17]Yujie Zhou, Fanfan Chen, Jiaxiang Cai, Hua Liang:
Optimal error estimate for energy-preserving splitting schemes for Maxwell's equations. Appl. Math. Comput. 333: 32-41 (2018) - [j16]Jiaxiang Cai, Chuanzhi Bai, Haihui Zhang:
Efficient schemes for the coupled Schrödinger-KdV equations: Decoupled and conserving three invariants. Appl. Math. Lett. 86: 200-207 (2018) - [j15]Jiaxiang Cai, Hua Liang, Chun Zhang:
Efficient high-order structure-preserving methods for the generalized Rosenau-type equation with power law nonlinearity. Commun. Nonlinear Sci. Numer. Simul. 59: 122-131 (2018) - [j14]Jiaxiang Cai, Chuanzhi Bai, Haihui Zhang:
Decoupled local/global energy-preserving schemes for the N-coupled nonlinear Schrödinger equations. J. Comput. Phys. 374: 281-299 (2018) - 2017
- [j13]Jiaxiang Cai, Hua Liang, Bin Yang:
Local energy-preserving algorithms for nonlinear fourth-order Schrödinger equation with trapped term. Appl. Math. Comput. 296: 23-32 (2017) - [j12]Yuezheng Gong, Qi Wang, Yushun Wang, Jiaxiang Cai:
A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation. J. Comput. Phys. 328: 354-370 (2017) - [j11]Jialin Hong, Lihai Ji, Liying Zhang, Jiaxiang Cai:
An energy-conserving method for stochastic Maxwell equations with multiplicative noise. J. Comput. Phys. 351: 216-229 (2017) - 2016
- [j10]Jiaxiang Cai, Yushun Wang, Yuezheng Gong:
Numerical Analysis of AVF Methods for Three-Dimensional Time-Domain Maxwell's Equations. J. Sci. Comput. 66(1): 141-176 (2016) - 2015
- [j9]Jiaxiang Cai, Yushun Wang, Yuezheng Gong:
Convergence of time-splitting energy-conserved symplectic schemes for 3D Maxwell's equations. Appl. Math. Comput. 265: 51-67 (2015) - [j8]Jiaxiang Cai, Jialin Hong, Yushun Wang, Yuezheng Gong:
Two Energy-Conserved Splitting Methods for Three-Dimensional Time-Domain Maxwell's Equations and the Convergence Analysis. SIAM J. Numer. Anal. 53(4): 1918-1940 (2015) - 2014
- [j7]Yuezheng Gong, Jiaxiang Cai, Yushun Wang:
Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs. J. Comput. Phys. 279: 80-102 (2014) - 2013
- [j6]Jiaxiang Cai, Yushun Wang, Hua Liang:
Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system. J. Comput. Phys. 239: 30-50 (2013) - [j5]Jiaxiang Cai, Yushun Wang:
Local structure-preserving algorithms for the "good" Boussinesq equation. J. Comput. Phys. 239: 72-89 (2013) - 2011
- [j4]Jiaxiang Cai:
Some linearly and non-linearly implicit schemes for the numerical solutions of the regularized long-wave equation. Appl. Math. Comput. 217(24): 9948-9955 (2011) - 2010
- [j3]Jiaxiang Cai:
Multisymplectic schemes for strongly coupled schrödinger system. Appl. Math. Comput. 216(8): 2417-2429 (2010) - [j2]Jiaxiang Cai:
A multisymplectic explicit scheme for the modified regularized long-wave equation. J. Comput. Appl. Math. 234(3): 899-905 (2010)
2000 – 2009
- 2009
- [j1]Jiaxiang Cai:
Multisymplectic numerical method for the regularized long-wave equation. Comput. Phys. Commun. 180(10): 1821-1831 (2009)
Coauthor Index
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