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科研成果

发布时间：2025.11.07

近年发表文章：

  1. X. Li, M. Chen*, Z. Sun, L. Ling, and S. Li. Energy-conserving Kansa methods for Hamiltonian wave equations. Applied Mathematics and Computation, 510, 129682, 2026. (PDF)

  2. Z. Tang, Z. Fu*, M. Chen, and L. Ling. A unified CPM framework using the least-squares generalized finite difference method for surface PDEs. Engineering with Computers, 1-15, 2025. 

  3. M. Chen*, L. Ling, and D. Yun. Proving the stability estimates of variational least-squares kernel-based methods. Computers and Mathematics with Application, 180: 46-60, 2025.  (PDF)

  4. Z. Sun*, L. Ling , and M. Chen. Structure-Preserving Kernel-Based Meshless Methods for Solving Dissipative PDEs on Surfaces. Journal of Scientific Computing, 102(3), 2025.  (PDF)

  5. Z. Tang, Z. Fu*, M. Chen**, and L. Ling. A novel localized least-squares collocation method for coupled bulk-surface problems. Applied Mathematics and Computation, 492, 2025.  

  6. M. Chen*, L. Ling. Exploring oversampling in RBF least-squares collocation method of lines for surface diffusion. Numerical Algorithms, 97(3):1067–1087, 2024. (PDF)

  7. M. Chen, K. C. Cheung, and L. Ling*. A kernel-based least-squares collocation method for surface diffusion. SIAM Journal on Numerical Analysis, 61(3): 1386-1404, 2023. 

  8.  Z. Tang, Z. Fu*,  M. Chen,  and J. Huang. An efficient collocation method for long-time simulation of heat and mass transport on evolving surfaces. Journal of Computational Physics, 463, 111310, 2022.

  9. M. Chen, L. Ling, Y. Su*. Solving interpolation problems on surfaces stochastically and greedily, Dolomites Research Notes on Approximation, 15(3), 2035-6803, 2022. 

  10. Z. Chao, Z. Fu*, M. Chen**, L. Ling. A localized extrinsic collocation method for Turing patterns formation on surfaces. Applied Mathematics Letters, 122(02): 107534, 2021.

  11. M. Chen*, L. Ling. Extrinsic meshless collocation methods for PDEs on manifolds. SIAM Journal on Numerical Analysis, 58(2): 988-1007, 2020. (PDF)

  12. M. Chen*, L. Ling. Kernel-based collocation methods for heat transport on evolving surfaces. Journal of Computational Physics, 405: 0-109166, 2020.  (PDF)

  13. M. Chen*, L. Ling. Kernel-Based Meshless Collocation Methods for Solving Coupled Bulk-Surface Partial Differential Equations. Journal of Scientific Computing, 81(1): 375-391, 2019. (PDF)