Full-time Faculty
Photo of Wei-Fan Hu
Professor

Wei-Fan Hu

Research areas

  • Numerical methods for PDEs
  • Computational fluid dynamics
  • Scientific and mathematical machine learning

Education

Ph.D., National Chiao Tung University

Experience

2020/08—present, Associate Professor, Department of Mathematics, National Central University, Taiwan
2019/08—2020/07, Associate Professor, Department of Applied Mathematics, National Chung Hsing University, Taiwan
2016/02—2019/07, Assistant Professor, Department of Applied Mathematics, National Chung Hsing University, Taiwan
2014/08—2016/01, Postdoctoral Research Fellow, Department of Applied Mathematics, National Chiao Tung University, Taiwan

Honors

Center Scientist, National Center for Theoretical Sciences, Taiwan, 2022-2024
Young Mathematicians Prize, The Mathematical Society, Taiwan, 2021
Ta-You Wu Memorial Award, Ministry of Science and Technology, Taiwan, 2021
Young Theoretical Scientists Award, National Center for Theoretical Sciences, Taiwan, 2019
Outstanding Ph.D. Dissertation Gold Medal Award, The Mathematical Society, Taiwan, 2014

Publications

[1] W.-F. Hu, T.-S. Lin, Y.-H. Tseng, and M.-C. Lai, A categorical embedding physics-informed neural network for anisotropic elliptic interface problems, Journal of Computational Physics, Vol 564, 115153 (2026).

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

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

[4] W.-F. Hu, T.-S. Lin, Y.-H. Tseng, and M.-C. Lai, A hybrid neural-network and finite-difference method for solving Poisson equation with jump discontinuities on interfaces, Communications in Computational Physics, Vol 33, pp. 1090-1105 (2023).

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

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

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

[8] W.-F. Hu, T.-S. Lin, S. Rafai, C. Misbah, Spontaneous locomotion of phoretic particles in three dimensions, Physical Review Fluids, Vol 7, 034003 (2022).

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

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

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

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

[13] W.-F. Hu, T.-S. Lin, S. Rafai, and C. Misbah, Chaotic swimming of phoretic particles, Physical Review Letters, Vol 123, 238004 (2019).

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

[15] S.-H. Shu, W.-F. Hu, and M.-C. Lai, A coupled immersed interface and grid based particle method for three-dimensional electrohydrodynamic simulations, Journal of Computational Physics, Vol 398, 108903 (2019).

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

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

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

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

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

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

[22] H. Nganguia, Y.-N. Young, A. T. Layton, W.-F. Hu, M.-C. Lai, An immersed interface method for electrohydrodynamics simulations, Communications in Computational Physics, Vol 18, issue 02, pp. 429-449 (2015).

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

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

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

[26] M.-C. Lai, W.-F. Hu, and W.-W. Lin, A fractional step immersed boundary method for Stokes flow with an inextensible interface enclosing a solid particle, SIAM Journal on Scientific Computing, Vol 34, No 5, pp. B692-B710 (2012).