Wei-Fan Hu

My CV | Google Scholar

Department of Mathematics
National Central University

Contact Info:
Email:
wfhu@math.ncu.edu.tw
Phone:
(+886)-3-4227151#65120
Mailing Address:
Department of Mathematics, National Central University
No. 300, Zhongda Rd., Zhongli Dist., Taoyuan City 32001, Taiwan

Positions:
Education:
Research Interests:
Awards and Honors:
Scientific Committees:
Publications:
  1. A discontinuity-capturing neural network with categorical embedding and its application to anisotropic elliptic interface problems (with T.-S. Lin, and M.-C. Lai)
    submitted for publication. [arXiv]

  2. A hybrid neural-network and MAC scheme for Stokes interface problems (with C.-C. Chang, C.-Y. Dai, T.-S. Lin, and M.-C. Lai)
    East Asian Journal on Applied Mathematics, Vol 14, 490-506 (2024). [pdf]

  3. A shallow physics-informed neural network for solving partial differential equations on static and evolving surfaces (with Y.-J. Shih, T.-S. Lin, and M.-C. Lai)
    Computer Methods in Applied Mechanics and Engineering, Vol 418, 116486 (2024). [pdf]

  4. Motility and swimming: Universal description and generic trajectories (with A. Farutin, M. S. Rizvi, T.-S. Lin, S. Rafai, and C. Misbah)
    The European Physical Journal E, Vol 46, 135, (2023). [pdf]

  5. A cusp-capturing PINN for elliptic interface problems (with Y.-H. Tseng, T.-S. Lin, and M.-C. Lai)
    Journal of Computational Physics, Vol 491, 112359 (2023). [pdf]

  6. An efficient neural-network and finite-difference hybrid method for elliptic interface problems with applications (with T.-S. Lin, Y.-H. Tseng, and M.-C. Lai)
    Communications in Computational Physics, Vol 33, pp. 1090-1105 (2023). [pdf]

  7. A reduced model for a phoretic swimmer (with A. Farutin, M. S. Rizvi, T.-S. Lin, S. Rafai, and C. Misbah)
    Journal of Fluid Mechanics, Vol 952, A6 (2022). [pdf]

  8. A discontinuity capturing shallow neural network for elliptic interface problems (with T.-S. Lin, and M.-C. Lai)
    Journal of Computational Physics, Vol 469, 111576 (2022). [pdf]

  9. A shallow Ritz method for elliptic problems with singular sources (with M.-C. Lai, C.-C. Chang, W.-S. Lin, and T.-S. Lin)
    Journal of Computational Physics, Vol 469, 111547 (2022). [pdf]

  10. Spontaneous locomotion of phoretic particles in three dimensions (with T.-S. Lin, S. Rafai, and C. Misbah)
    Physical Review Fluids, Vol 7, 034003 (2022). [pdf]

  11. Effects of surfactant solubility on the hydrodynamics of a viscous drop in a DC electric field (with H. Nganguia, M.-C. Lai and Y.-N. Young)
    Physical Review Fluids, Vol 6, 064004 (2021). [pdf]

  12. A direct Poisson solver in spherical geometry with an application to diffusiophoretic problems (with T.-S. Lin and C. Misbah)
    Journal of Computational Physics, Vol 409, 109362 (2020). [pdf]

  13. Fast spectral solver for Poisson equation in an annular domain (with T.-S. Lin and C.-Y. He)
    Annals of Mathematical Sciences and Applications, Vol 5, pp. 65-74 (2020). [pdf]

  14. A level-set immersed interface method for simulating the electrohydrodynamics (with J.-J. Xu, W. Shi and J.-J. Huang)
    Journal of Computational Physics, Vol 400, 108956 (2020). [pdf]

  15. Chaotic swimming of phoretic particles (with T.-S. Lin, S. Rafai, and C. Misbah)
    Physical Review Letters, Vol 123, 238004 (2019). [pdf]

  16. Analytical study for swimmers in a channel (with A. Farutin, H. Wu, S. Rafai, P. Peyla, M.-C. Lai and C. Misbah)
    Journal of Fluid Mechanics, Vol 881, pp. 365-383 (2019). [pdf]

  17. A coupled immersed interface and grid based particle method for three-dimensional electrohydrodynamic simulations (with S.-H. Hsu and M.-C. Lai)
    Journal of Computational Physics, Vol 398, 108903 (2019). [pdf]

  18. A coupled immersed boundary and immersed interface method for interfacial flows with soluble surfactant (with M.-C. Lai and C. Misbah)
    Computers & Fluids, Vol 168, pp. 201-215 (2018). [pdf]

  19. Amoeboid swimming in a channel (with H. Wu, A. Farutin, M. Thiebaud, S. Rafai, P. Peyla, M.-C. Lai, and C. Misbah)
    Soft Matter, 12, pp. 7470-7484 (2016). [pdf]

  20. An immersed boundary method for simulating vesicle dynamics in three dimensions (with Y. Seol, Y. Kim and M.-C. Lai)
    Journal of Computational Physics, Vol 322, pp. 125-141 (2016). [pdf]

  21. Electrohydrodynamics of a viscous drop with inertia (with H. Nganguia, Y.-N. Young, A. T. Layton, M.-C. Lai)
    Physical Review E, Vol 93, 053114 (2016). [pdf]

  22. Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method (with M.-C. Lai, Y. Seol, and Y.-N. Young)
    Journal of Computational Physics, Vol 317, pp. 66-81 (2016). [pdf]

  23. Amoeboid motion in confined geometry (with H. Wu, M. Thiebaud, A. Farutin, S. Rafai, M.-C. Lai, P. Peyla, C. Misbah)
    Physical Review E Rapid Communications, Vol 92, 050701(R) (2015). [pdf]

  24. An immersed interface method for axisymmetric electrohydrodynamic simulations in Stokes flow (with H. Nganguia, Y.-N. Young, A. T. Layton, and M.-C. Lai)
    Communications in Computational Physics, Vol 18, issue 02, pp. 429-449 (2015). [pdf]

  25. A hybrid immersed boundary and immersed interface method for electrohydrodynamic simulations (with M.-C. Lai and Y.-N. Young)
    Journal of Computational Physics, Vol 282, pp. 47-61 (2015). [pdf]

  26. An immersed boundary method for simulating the dynamics of three-dimensional axisymmetric vesicles in Navier-Stokes flows (with Y. Kim and M.-C. Lai)
    Journal of Computational Physics, Vol 257, pp. 670-686 (2014). [pdf]

  27. Unconditionally energy stable immersed boundary method with application to vesicle dynamics (with M.C.-Lai)
    East Asian Journal on Applied Mathematics, Vol 3, pp. 247-262 (2013). [pdf]

  28. A fractional step immersed boundary method for Stokes flow with an inextensible interface enclosing a solid particle (with M.-C. Lai and W.-W. Lin)
    SIAM Journal on Scientific Computing, Vol 34, No 5, pp. B692-B710 (2012). [pdf]
Research Activities:
  1. Hokudai-NYCU Joint Workshop on Applied Mathematics, NYCU, Taiwan, Apr 11-Apr 12, 2024.
  2. 2023 NCTS Workshop on Computational Mathematics and Scientific Computing for Young Researchers, Tunghai University, Taiwan, Aug 31-Sep 1, 2023.
  3. TWSIAM 2023 Annual Meeting, National Taiwan Normal University, Taiwan, May 20-21, 2023.
  4. The 31st Annual Meeting on Differential Equations and Related Topics, National Chung Cheng University, Taiwan, Feb 17-18, 2023.
  5. Mathematical Conference and Annual Meeting of the Taiwan Mathematical Society, National Tsing Hua University, Taiwan, Jan 16-17, 2023.
  6. 2022 NCTS Workshop on Computational Mathematics and Scientific Computing for Young Researchers, National Cheng Kung University, Taiwan, August 26-27, 2022.
  7. TWSIAM 2022 Annual Meeting, National Yang Ming Chiao Tung University, Taiwan, July 23-24, 2022.
  8. 2022 Conference on Advanced Topics and Auto Tuning in High-Performance Scientific Computing (speaker), National Cheng Kung University, Taiwan, March 29-30, 2022.
  9. Mathematical Conference and Annual Meeting of the Taiwan Mathematical Society (speaker), Academia Sinica, Taiwan, Jan 17-18, 2022.
  10. 30th Annual Workshop on Differential Equations (speaker), National Chengchi University, Taiwan, Jan 14-15, 2022.
  11. 2021 NCTS Physics in Complex Systems Workshop (speaker), National Taiwan University, Taiwan, October 15-16, 2021.
  12. Interfacing Mathematics and Physical Sciences through Machine Learning (speaker), National Taiwan University, Taiwan, September 4, 2021.
  13. 2021 NCTS Young Dynamics Day (speaker), Tamkang University, Taiwan, February 19, 2021.
  14. Mathematical Conference and Annual Meeting of the Taiwan Mathematical Society, Fu Jen Catholic University, Taiwan, December 5-6, 2020.
  15. TWSIAM 2020 Annual Meeting, National Cheng Kung University, Taiwan, July 24-25, 2020.
  16. 2020 NCTS Spring Day (speaker), National Taiwan University, Taiwan, June 5, 2020.
  17. 2020 Workshop on Applied Mathematics and Scientific Computing (speaker), National University of Kaohsiung, Taiwan, February 14-15, 2020.
  18. The 10th workshop on Boundary Element Methods, Integral Methods, & Related Methods in Taiwan (speaker), National Cheng Kung University, Taiwan, November 2, 2019.
  19. TWSIAM 2019 Annual Meeting (speaker), National Tsing Hua University, Taiwan, May 25-26, 2019.
  20. 2018 Japan-Taiwan Joint Workshop on Numerical Analysis and Scientific Computing (speaker), National Taiwan University, Taiwan, November 24-26, 2018.
  21. International Conference on Mechanics 2018 (speaker), Yilan, Taiwan, October 15-18, 2018.
  22. TWSIAM 2018 Annual Meeting (speaker), National Taiwan University of Science and Technology, Taiwan, May 26-27, 2018.
  23. 26th Annual Meeting on Differential Equations and Related Topics (speaker), National Taiwan University, Taiwan, Jan 6-7, 2018.
  24. Mathematical Conference and Annual Meeting of the Taiwan Mathematical Society (speaker), National Chiayi University, Taiwan, December 9-10, 2017.
  25. Mathematical Conference and Annual Meeting of the Taiwan Mathematical Society, National Dong Hwa University, Taiwan, December 10-11, 2016.
  26. 2016 Japan-Taiwan Joint Workshop on Numerical Analysis and Scientific Computing (speaker), National Taiwan University, Taiwan, November 26-28, 2016.
  27. TWSIAM 2016 Annual Meeting, National Chung Hsing University, Taiwan, May 28-29, 2016.
  28. 2016 South Taiwan Workshop on Scientific Computing, Differential Equations and Applications (speaker), National Chung Cheng University, Taiwan, March 26, 2016.
  29. 2016 NCTS Workshop on Computational Mathematics for Young Researchers (speaker), National Chiao Tung University, Taiwan, March 19-20, 2016.
  30. Mathematical Conference and Annual Meeting of the Taiwan Mathematical Society, National University of Kaoshiung, Taiwan, December 19-20, 2015.
  31. Workshop on Membranes and Ion Channels (speaker), National Chiao Tung University, Taiwan, October 5, 2015.
  32. Mathematical Conference and Annual Meeting of the Taiwan Mathematical Society (speaker), National Cheng Kung University, Taiwan, December 6-7, 2014.
  33. East Asia Section of SIAM 2014 (speaker), Thailand, Jun 23-25, 2014.
  34. The 5th Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics (speaker), National Center for Theoretical Sciences, Taiwan, Feb 27-Mar 1, 2014.
  35. IAS Program on Frontiers of Soft Matter Physics 2014 (speaker), Hong Kong University of Science and Technology, Hongkong, Jan 20-22, 2014.
  36. Mathematical Conference and Annual Meeting of the Taiwan Mathematical Society (speaker), National Sun Yat-sen University, Taiwan, December 6-8, 2013.
  37. EUROMECH Colloquium 549 Immersed Boundary Methods: Current Status and Future Research Directions (speaker), Stadsgehoorzaal Building, Leiden, The Netherlands, June 17-19, 2013.
  38. 19th National Computational Fluid Dynamics Conference, National Penghu University of Science and Technology, Taiwan, August 16-18, 2012.
  39. The 8th East Asia Section of SIAM Conference (speaker), National Taiwan University, Taiwan, June 25-27, 2012.
  40. Mathematical Conference and Annual Meeting of the Taiwan Mathematical Society (speaker), Chung Yuan Christian University, Taiwan, December 9-11, 2011.