Jiaxiang Cai

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 24

Top Topics

High Dimensions

Statistical Models

Numerical Analysis

Hamilton Jacobi

Top Venues

Appl. Math. Lett.

J. Comput. Phys.

Appl. Math. Comput.

SIAM J. Numer. Anal.

Publications

Xin Ye, Jiaxiang Cai, Loon Ching Tang, Zhi-Sheng Ye
Statistical Modeling of the Effectiveness of Preventive Maintenance for Repairable Systems. Technometrics 66 (1) (2024)
Jiaxiang Cai
Efficient invariant-preserving scheme for the N-coupled nonlinear Schrödinger equations. Appl. Math. Lett. 157 (2024)
Jiaxiang Cai, Haihui Zhang
High-order conservative schemes for the nonlinear Schrödinger equation in the semiclassical limit. Appl. Math. Lett. 144 (2023)
Jiaxiang Cai, Hua Liang
Compact Exponential Conservative Approaches for the Schrödinger Equation in the Semiclassical Regimes. SIAM J. Sci. Comput. 44 (3) (2022)
Jiaxiang Cai, Zhi-Sheng Ye
Optimal design of accelerated destructive degradation tests with block effects. IISE Trans. 54 (1) (2022)
Jiaxiang Cai
Efficient dissipation-preserving scheme for the damped nonlinear Schrödinger equation in three dimensions. Appl. Math. Lett. 132 (2022)
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 (2022)
Jiaxiang Cai, Bangyu Shen
Linearly implicit local energy-preserving algorithm for a class of multi-symplectic Hamiltonian PDEs. Comput. Appl. Math. 41 (1) (2022)
Jiaxiang Cai, Zhi-Sheng Ye
Contamination Source Identification: A Bayesian Framework Integrating Physical and Statistical Models. IEEE Trans. Ind. Informatics 17 (12) (2021)
Jiaxiang Cai, Haihui Zhang
Efficient schemes for the damped nonlinear Schrödinger equation in high dimensions. Appl. Math. Lett. 102 (2020)
Jiaxiang Cai, Jie Shen
Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs. J. Comput. Phys. 401 (2020)
Jiaxiang Cai, Bin Yang, Chun Zhang
Efficient mass- and energy-preserving schemes for the coupled nonlinear Schrödinger-Boussinesq system. Appl. Math. Lett. 91 (2019)
Jiaxiang Cai, Juan Chen, Bin Yang
Efficient energy-preserving wavelet collocation schemes for the coupled nonlinear Schrödinger-Boussinesq system. Appl. Math. Comput. 357 (2019)
Jiaxiang Cai, Yushun Wang, Chaolong Jiang
Local structure-preserving algorithms for general multi-symplectic Hamiltonian PDEs. Comput. Phys. Commun. 235 (2019)
Jiaxiang Cai, Chuanzhi Bai, Haihui Zhang
Efficient schemes for the coupled Schrödinger-KdV equations: Decoupled and conserving three invariants. Appl. Math. Lett. 86 (2018)
Yujie Zhou, Fanfan Chen, Jiaxiang Cai, Hua Liang
Optimal error estimate for energy-preserving splitting schemes for Maxwell's equations. Appl. Math. Comput. 333 (2018)
Jiaxiang Cai, Chuanzhi Bai, Haihui Zhang
-coupled nonlinear Schrödinger equations. J. Comput. Phys. 374 (2018)
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 (2018)
Yuezheng Gong, Qi Wang, Yushun Wang, Jiaxiang Cai
A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation. J. Comput. Phys. 328 (2017)
Jiaxiang Cai, Hua Liang, Bin Yang
Local energy-preserving algorithms for nonlinear fourth-order Schrödinger equation with trapped term. Appl. Math. Comput. 296 (2017)
Jialin Hong, Lihai Ji, Liying Zhang, Jiaxiang Cai
An energy-conserving method for stochastic Maxwell equations with multiplicative noise. J. Comput. Phys. 351 (2017)
Jiaxiang Cai, Yushun Wang, Yuezheng Gong
Numerical Analysis of AVF Methods for Three-Dimensional Time-Domain Maxwell's Equations. J. Sci. Comput. 66 (1) (2016)
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) (2015)
Jiaxiang Cai, Yushun Wang, Yuezheng Gong
Convergence of time-splitting energy-conserved symplectic schemes for 3D Maxwell's equations. Appl. Math. Comput. 265 (2015)
Yuezheng Gong, Jiaxiang Cai, Yushun Wang
Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs. J. Comput. Phys. 279 (2014)
Jiaxiang Cai, Yushun Wang
Local structure-preserving algorithms for the "good" Boussinesq equation. J. Comput. Phys. 239 (2013)
Jiaxiang Cai, Yushun Wang, Hua Liang
Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system. J. Comput. Phys. 239 (2013)
Jiaxiang Cai
Some linearly and non-linearly implicit schemes for the numerical solutions of the regularized long-wave equation. Appl. Math. Comput. 217 (24) (2011)
Jiaxiang Cai
Multisymplectic schemes for strongly coupled schrödinger system. Appl. Math. Comput. 216 (8) (2010)
Jiaxiang Cai
A multisymplectic explicit scheme for the modified regularized long-wave equation. J. Comput. Appl. Math. 234 (3) (2010)
Jiaxiang Cai
Multisymplectic numerical method for the regularized long-wave equation. Comput. Phys. Commun. 180 (10) (2009)