蔡文君, 教授、博士生导师,江苏常州人,主要研究方向为偏微分方程保结构算法
教育经历
2009.09-2014.07 | 女王调教-女王调教视频-女王 调教小说
,博士 |
2005.09-2009.07 | 女王调教-女王调教视频-女王 调教小说
,学士 |
工作经历
2023.07-至今 | 女王调教-女王调教视频-女王 调教小说
,教授 |
2017.09-2023.07 | 女王调教-女王调教视频-女王 调教小说
,副教授 |
2016.09-2017.09 | 女王调教-女王调教视频-女王 调教小说
,讲师 |
2014.07-2016.09 | 中国科*女王调教-女王调教视频-女王 调教小说大学,博士后 |
2012.09-2013.09 | 中国科*女王调教-女王调教视频-女王 调教小说数学与系统科学研究院,访问学者 |
研究方向
计算数学、偏微分方程数值解、时间积分子、辛几何算法、保能量算法、保结构算法
学术科研成果
科研项目:
1. 国家自然科学基金委员会面上项目,哈密顿系统高精度、高效保能量算法的研究与应用,52万元,2020.01-2023.12,主持
2.国家重点研发计划子课题,基于物理过程与大数据的多概率地震危险性分析技术,60万元,2018.12-2021.12,主要参与人
3. 江苏省高等学校自然科学研究重大项目,地震波方程中的保结构算法的理论和应用研究,15万,2018.09-2021.08,主持
4. 国家自然科学基金委员会青年项目,保结构间断谱元法在地震波数值模拟中的应用理论基础研究,20万,2016.01-2018.12,主持
代表性论文:
1. Hu, Dongdong; Fu, Yayun;Cai, Wenjun;Wang, Yushun Unconditional convergence of conservative spectral Galerkin methods for the coupled fractional nonlinear Klein-Gordon-Schrödinger equations.J. Sci. Comput.94 (2023).
2. Gu, Xuelong; Jiang, Chaolong; Wang, Yushun;Cai, Wenjun*Efficient energy-preserving exponential integrators for multi-component Hamiltonian systems.J. Sci. Comput.92 (2022)
3. Jiang, Chaolong; Wang, Yushun;Cai, Wenjun*A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation.J. Comput. Phys.419 (2020)
4. Cui, Jin;Cai, Wenjun;Wang, Yushun A linearly-implicit and conservative Fourier pseudo-spectral method for the 3D Gross-Pitaevskii equation with angular momentum rotation. Comput. Phys. Commun. 253 (2020)
5. Jiang, Chaolong; Gong, Yuezheng;Cai, Wenjun; Wang, Yushun A linearly implicit structure-preserving scheme for the Camassa-Holm equation based on multiple scalar auxiliary variables approach.J. Sci. Comput.83 (2020)
6. Jiang, Chaolong;Cai, Wenjun;Wang, Yushun A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach.J. Sci. Comput.80 (2019)
7.Cai, Wenjun;Jiang, Chaolong; Wang, Yushun; Song, Yongzhong Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions.J. Comput. Phys.395 (2019)
8. Mu, Zhenguo; Gong, Yuezheng;Cai, Wenjun;Wang, Yushun Efficient local energy dissipation preserving algorithms for the Cahn-Hilliard equation.J. Comput. Phys.374 (2018)
9.Cai, Wenjun;Li, Haochen; Wang, Yushun Partitioned averaged vector field methods.J. Comput. Phys.370 (2018)
10.Cai, Wenjun;Zhang, Huai; Wang, Yushun Dissipation-preserving spectral element method for damped seismic wave equations.J. Comput. Phys.350 (2017)
11.Cai, Wenjun;Zhang, Huai; Wang, Yushun Modelling damped acoustic waves by a dissipation-preserving conformal symplectic method.Proc. A.473 (2017)
12.Cai, Wenjun;Sun, Yajuan; Wang, Yushun Geometric numerical integration for peakon b-family equations.Commun. Comput. Phys.19 (2016)
13.Cai, Wenjun;Zhang, Huai; Wang, Yushun Novel symplectic discrete singular convolution method for Hamiltonian PDEs.Commun. Comput. Phys.19 (2016)
14.Cai, Wenjun;Wang, Yushun; Song, Yongzhong Derivation of the multisymplectic Crank-Nicolson scheme for the nonlinear Schrödinger equation.Comput. Phys. Commun.185 (2014)
15.Cai, Wenjun;Wang, Yushun; Song, Yongzhong Numerical dispersion analysis of a multi-symplectic scheme for the three dimensional Maxwell's equations.J. Comput. Phys.234 (2013)
奖励与荣誉
2022年入选第六期江苏省“333”工程第三层次培养对象
2020年获江苏省第三届“工业与应用数学奖青年奖”
2019年入选女王调教
青年拔尖人才计划
2015年博士毕业论文获江苏省优秀博士学位论文