Biography

Prof. Li Cai

School of Mathematics and Statistics

Northwestern Polytechnical University, China


Email: [email protected]


Qualifications

2008 Ph. D., Northwestern Polytechnical University, China
2005 M. Sc., Northwestern Polytechnical University, China
2002 B. Sc., Northwestern Polytechnical University, China


Publications (Selected)

  1. Youqiong Liu, Li Cai, Yaping Chen, Pengfei Ma, Qian Zhong. Variable separated physics-informed neural networks based on adaptive weighted loss functions for blood flow model. Computers and Mathematics with Applications, 2024, 153: 108-122
  2. Li Cai, Jin Cao, Feifei Jing, Yongheng Wang. A fast time integral finite difference method for a space-time fractional FitzHugh-Nagumo monodomain model in irregular domains. Journal of Computational Physics, 2024, 501: 112744
  3. Qixing Chen, Li Cai, Feifei Jing, Pengfei Ma, Xiaoyu Luo, Hao Gao. On the immersed boundary method with time-filter-SAV for solving fluid-structure interaction problem. Journal of Scientific Computing, 2024, 100: 45
  4. Pengfei Ma, Li Cai, Xuan Wang, Yongheng Wang, Xiaoyu Luo, Hao Gao. An unconditionally stable scheme for the immersed boundary method with application in cardiac mechanics. Physics of Fluids, 2024, 36: 081914
  5. Li Cai, Jing Xue, Yongheng Wang, Youqiong Liu, Hao Gao. Impact of weightlessness on dynamic deformation and haemodynamic parameters of the heart. Life Sciences in Space Research, 2025, 46: 86-99
  6. Youqiong Liu, Li Cai, Yaping Chen, Qixing Chen. ICPINN: Integral conservation physics-informed neural networks based on adaptive activation functions for 3D blood flow simulations. Computer Physics Communications, 2025, 311: 109569
  7. Xuan Wang, Li Cai, Pengfei Ma, Hao Gao. An efficient staggered scheme for solving the poromechanics problem of quasi-static cardiac perfusion. International Journal for Numerical Methods in Biomedical Engineering, 2025, 41: e70030
  8. Qixing Chen, Li Cai, Feifei Jing, Yanbo Wang, Xiaoyu Luo. A decoupled, unconditionally stable numerical algorithm for phase transition in aluminum under electromagnetic levitation. Physics of Fluids, 2025, 37: 067135
  9. Pengfei Ma, Li Cai, Xuan Wang, Hao Gao. Fully GPU-accelerated, matrix-free immersed boundary method for complex fiber-reinforced hyperelastic cardiac models. Computer Methods in Applied Mechanics and Engineering, 2025, 447: 118353
  10. Youqiong Liu, Li Cai, Yaping Chen, Jing Xue, Wangwei He, Wenxian Xie, Jie Wei. Integral conservation physics-informed neural networks with different network architectures for patient-specific aortic flow simulations. International Journal of Heat and Fluid Flow, 2026, 117: 110011


Profile Details
https://teacher.nwpu.edu.cn/caili

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