Feng-Nan Hwang

Journal papers.

[1] D.Q. Huynh and F.-N. Hwang, Heavy-ball momentum for dual updates in ADMM: Algorithm design and convergence analysis, Numerical Algorithms, to appear, 2026.

[2] C.-W. Liang and F.-N. Hwang, An adaptive two-level nonlinear elimination preconditioned space-time solver for hyperbolic PDEs with shocks, Electronic Transactions on Numerical Analysis, Vol. 66 (2026) pp. 83–107.

[3] I.L. Ihwani and F.-N. Hwang, An adaptive bubble function enriched multiscale finite element method for the Helmholtz equation, Journal of Computational and Applied Mathematics, Vol. 483 (2026) 117407.

[4] D.Q. Huynh and F.-N. Hwang, Nonmonotone quasi-Newton method with diagonal Jacobian approximation for symmetric nonlinear equations, Applied Mathematics and Computation, Vol. 523 (2026), 130010.

[5] D.Q. Huynh and F.-N. Hwang, Accelerated gradient descent with quasi-Newton preconditioning for nearest correlation matrix problems, Numerical Linear Algebra with Applications, Vol. 32 (2025), e70045.

[6] J.-R. Yu, Y.-T. Wu, Y.-J. Sung, T.-S. Chiueh, Wei-Hsuan Yu, F.-N. Hwang, Z.-Q. Wu, Z. Anwar, W.-Y. Lin, and H.-Y. Wang, Improving interpretation consistency of serum capillary electrophoresis by development of quantitative graphic indexes,

International Journal of Molecular Sciences, Vol. 25 (2024), p. 12240.

[7] H. Yang, T.-H. Ma, F.-N. Hwang, and X.-C. Cai, Nonlinearly preconditioned semismooth Newton algorithms for nonlinear nonsmooth systems, International Journal of Computer Mathematics, Vol. 101 (2024), pp. 601-622.

[8] C.-Y. Shih, S.-Y. Lin, C.-H. Yeh, Y.-M. Huang, C. Y.-T. Lin, F.-N. Hwang, and C.-H. Chang, Forecasting of global ionosphere maps with multi-day lead time using transformer-based neural networks, Space Weather, Vol. 22 (2024), e2023SW003579.

[9] C.-Y. Shih, C.-M. Chang, B-F. Wu, C.-H. Chang, and F.-N. Hwang, Data-driven numerical simulation with Karman filtering and long short-term memory networks for highway traffic flow prediction, Journal of Mechanics, Vol. 40 (2024), pp. 31-43.

[10] D.Q. Huynh and F.-N. Hwang, An accelerated quasi-Newton method based on partial modification with a secant-like diagonal approximation for nonlinear least-squares problems, Journal of Computational and Applied Mathematics, Vol. 442 (2024), pp. 115718.

[11] S.-Z. Su, S.-Y. Su, and F.-N. Hwang, Locally adaptive bubble function enrichment for multiscale finite element methods: application to convection-diffusion problems, International Journal for Numerical Methods in Fluids, Vol. 95, (2023), pp. 1639-1655.

[12] P.-H. Lu, C.-C. Chiang, W.-H. Yu, M.-C. Yu, and F.-N. Hwang, Machine learning-based technique for the severity classification of sublingual varices according to traditional Chinese medicine, Computational and Mathematical Methods in Medicine} Vol. 2022, (2022), 10 pages.

[13] L. Liu, F.-N. Hwang, L. Luo, X.-C. Cai, D.E. Keyes, Nonlinear elimination preconditioned inexact Newton algorithm, SIAM Journal on Scientific Computing, Vol. 44, (2022), pp. A1579–A1605.

[14] S.-R. Cai and F.-N. Hwang, A hybrid-line-and-curve search globalization technique for inexact Newton methods, Applied Numerical Mathematics, Vol. 173C (2022) pp. 79-93.

[15] H.-C. Chen, H.-C. Yang, C.-C. Cheng, S. Harrevelt, Y.-C. Chao, J.-M. Lin, W.-H. Yu, H.-C. Chang, C.-K. Chang, F.-N. Hwang, Improved image quality for static BLADE MRI using the total-variation regularized least absolute deviation solver, Tomography, Vol. 7, (2021), pp. 555-572.

[16] X. Shi, T. Agrawal, C.-A. Lin, F.-N. Hwang, and T.-H. Chiu, A parallel nonlinear multigrid solver for unsteady incompressible flow simulation on multi-GPU cluster, Journal of Computational Physics, Vol. 414, (2020), p. 109447.

[17] S.-R. Cai, J.-Y. Xiao, Y.-C. Tseng, and F.-N. Hwang, Parallel multilevel smoothed aggregation Schwarz preconditioned Newton-Krylov algorithms for Poisson-Boltzmann problems, Numerical Mathematics: Theory, Methods and Applications, Vol. 13, (2020), pp. 745-769.

[18] W.-L. Hsu and F.-N. Hwang, A pseudo-transient Newton-Krylov-Schwarz method for incompressible Navier-Stokes equations with slip conditions for bifurcation analysis, Annals of Mathematical Sciences and Applications, Vol. 5, (2020), pp. 41-61.

[19] H.-H. Wang, Y.-S. Lo, F.-T. Hwang, F.-N. Hwang, Three-dimensional trajectory optimization for multi-stage launch vehicle mission using a full-space quasi-Lagrange- Newton method, Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, Vol. 60 (2019), pp. C172-C186.

[20]] Y.-T. Chien and F.-N. Hwang, A Markov chain-based multi-elimination preconditioner for elliptic PDE problems, Journal of Computational and Applied Mathematics, Vol. 362 (2019), pp. 116–129.

[21] H. Yang and F.-N. Hwang, A nonlinear elimination preconditioner for fully-coupled space-time solution algorithm with applications to high-Rayleigh number thermal convective flow problems, Communications in Computational Physics, 26 (2019), pp. 749–767.

[22] H.-H. Wang, Y.-S. Lo, F.-T. Hwang, and F.-N. Hwang, A full-space quasi Lagrange- Newton-Krylov algorithm for trajectory optimization problems, Electronic Transactions on Numerical Analysis, Vol. 49 (2018), pp. 103–125.

[23] H. Yang and F.-N. Hwang. An adaptive nonlinear elimination preconditioned inexact Newton algorithm for highly local nonlinear multicomponent PDE systems, Applied Numerical Mathematics, Vol. 133 (2018), pp. 100–115.

[24] F.-N. Hwang, Y.-Z. Su, and C.-C. Yao, An iteratively adaptive multiscale finite element method for elliptic interface problems, Applied Numerical Mathematics, Vol. 127 (2018), pp. 211–225.

[25] Y.-F. Cheng and F.-N. Hwang, A parallel two-level polynomial Jacobi-Davidson algorithm for large sparse PDE eigenvalue problems, Advances in Engineering Software, Vol. 112 (2017), pp. 222–230.

[26] T. Hou, F.-N. Hwang, P. Liu, and C.-C Yao, An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients, Journal of Computational Physics, Vol. 336 (2017), pp. 375–400.

[27] H. Yang, F.-N. Hwang, and X.-C. Cai, Nonlinear preconditioning techniques for full-space Lagrange-Newton solution of PDE-constrained optimization problems, SIAM Journal on Scientific Computing, Vol. 38 (2016), pp. A2756-A2778.

[28] T. Zhao, F.-N. Hwang, and X.-C. Cai, Parallel two-level domain decomposition based Jacobi-Davidson algorithm for pyramidal quantum dot simulation, Computer Physics Communications, Vol. 204 (2016), pp. 74-81.

[29] W.-S. Shiu, F.-N. Hwang, X.-C. Cai, Parallel domain decomposition method for the finite element approximation of 3D steady-state non-Newtonian fluids, International Journal for Numerical Methods in Fluids, Vol. 78 (2015) pp. 502-520.

[30] F.-N. Hwang, Y.-C. Su, and X.-C. Cai, A parallel adaptive nonlinear elimination preconditioned inexact Newton method for transonic full potential equation, Computers and Fluids, Vol. 110 (2015) pp. 96–107.

[31] C.-W. Tsao, K.-S. Chen and F.-N. Hwang, Numerical simulation of droplet-based microfluidic chip interfacing with laser desorption/ionization mass spectrometry target substrate, Micro & Nano Letters, Vol. 10 (2015) pp. 192-197.

[32] Y.-M. Chiu, C.-H. Chiang, C.-T. Hung, M.-H. Hu, J.-S. Wu, F.-N. Hwang Parallel 2D axisymmetric fluid modeling of CF4 discharge in an inductively coupled plasma source during SiO2 etching, Plasma Process and Polymers, Vol. 11 (2014) pp. 366-390.

[33] F.-N. Hwang, X.-C. Cai, Y.-L. Chen, and C.-W. Tsao, A parallel fully coupled implicit domain decomposition method for numerical simulation of microfluidic mixing in 3D, International Journal of Computer Mathematics, Vol. 90 (2013) pp. 615-629.

[34] K.-M. Lin, M.-H. Hu, C.-T. Hung, J.-S. Wu, F.-N. Hwang, Y.-S. Chen, G. Cheng. A parallel hybrid numerical algorithm for simulating gas flow and gas discharge of an atmospheric-pressure plasma jet, Computer Physics Communications, Vol. 183 (2012) pp. 2550-2560.

[35] K.-M. Lin, C.-T. Hung, F.-N. Hwang, M. R. Smith, Y.-W. Yang, and J.-S. Wu, Development of a parallel semi-implicit two-dimensional plasma fluid modeling code using finite-volume method, Computer Physics Communications, Vol. 183 (2012) pp. 1225-1236.

[36] T.-M. Huang, F.-N. Hwang, S.-H. Lai, W. Wang, and Z.-H. Wei, A parallel polynomial Jacobi-Davidson approach for dissipative acoustic eigenvalue problems, Computers and Fluids, Vol. 45 (2011) pp. 207-214.

[37] H.-W. Hsu, F.-N. Hwang, Z.-H. Wei, S.-H. Lai, and C.-A. Lin, A parallel multilevel preconditioned iterative pressure Poisson solver for the large-eddy simulation of turbulent flow inside a duct, Computers & Fluids, Vol. 45 (2011) pp. 138-146.

[38] C.-T. Hung, Y.-M. Chiu, F.-N. Hwang, M.-H. Chiang, J.-S. Wu, Y.-C. Wang, and S.-H. Chen, Investigation of Helium dielectric barrier discharge driven by a realistic distorted-sinusoidal voltage power source, Plasma Chemistry and Plasma Processing, Vol. 31 (2011) pp. 1-21.

[39] Y.-M. Chiu, C.-T. Hung, F.-N. Hwang, M.-H. Chiang, J.-S, Wu, and S.- H. Chen, Effect of plasma chemistry on the simulation of Helium atmospheric-pressure plasmas, Computer Physics Communications, Vol. 182 (2011) pp. 167-169.

[40] K.-W. Cheng, C.-T. Hung, M.-H. Chiang, F.-N. Hwang, and J.-S. Wu, One- dimensional simulation of Nitrogen dielectric barrier discharge driven by a quasi-pulsed power source and its comparison with experiments, Computer Physics Communications, Vol. 182 (2011) pp. 164-166.

[41] C.-T. Hung, Y.-M. Chiu, F.-N. Hwang, and J.-S. Wu, Development of a parallel implicit solver of fluid modeling equations for gas discharges, Computer Physics Communications, Vol. 182 (2011) pp. 161-163.

[42] F.-N. Hwang, S.-R. Cai, Y.-L. Shao, and J.-S. Wu, Parallel Newton-Krylov- Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloidal particle interactions, Computer Physics Communications, Vol. 181 (2010) pp. 1529-1537.

[43] C.-Y. Huang and F.-N. Hwang, Parallel pseudo-transient Newton-Krylov-Schwarz continuation algorithms for bifurcation analysis of incompressible sudden expansion flows, Applied Numerical Mathematics, Vol. 60 (2010), pp. 738-751.

[44] F.-N. Hwang, H.-L. Lin, and X.-C. Cai, Two-level nonlinear elimination based preconditioners for inexact Newton methods with application in shocked duct flow calculation, Electronic Transactions on Numerical Analysis, Vol. 37 (2010), pp. 239-251.

[45] F.-N. Hwang, C.-Y. Wu, and X.-C. Cai, Numerical simulation of three-dimensional blood flows using domain decomposition method on parallel computer, Journal of the Chinese Society of Mechanical Engineers, Vol. 31 (2010), pp. 199-208.

[46] F.-N. Hwang, Z.-H. Wei, T.-M. Huang, and W. Wang, A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for polynomial eigenvalue problems in quantum dot simulation, Journal of Computational Physics, Vol. 229 (2010), pp. 2932-2947.

[47] C.-T. Hung, M.-H. Hu, J.-S. Wu, and F.-N. Hwang, A new paradigm for solving plasma fluid modeling equations, Computer Physics Communications, Vol. 177 (2007), pp. 138-139.

[48] F.-N. Hwang and X.-C. Cai, A class of parallel two-level nonlinear Schwarz preconditioned inexact Newton algorithms, Computer Methods in Applied Mechanics and Engineering, Vol. 196 (2007), pp. 1603-1611.

[49] F.-N. Hwang and X.-C. Cai, Parallel fully coupled Schwarz preconditioners for saddle point problems, Electronic Transactions on Numerical Analysis, Vol. 22 (2006), pp. 146-162.

[50] F.-N. Hwang and X.-C. Cai, A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations, Journal of Computational Physics, Vol. 204 (2005), pp. 666-691.

[51] L.P. Franca and F.-N. Hwang, Refining the submesh strategy in the two-level finite element method: application to the advection-diffusion equation, International Journal for Numerical Methods in Fluids, Vol. 39 (2002), pp. 161-187.

Referred Conference papers

[1] C.-I Lee, C.-H. Chang, and F.-N. Hwang, Currency exchange rate prediction with long short-term memory networks based on attention and news sentiment analysis, The 24th International Conference on Technologies and Applications of Artificial Intelligence, 2019.

[2] W.-S. Shiu, Z. Yan, J. Liu, R. Chen, F.-N. Hwang, and X.-C. Cai, Simulation of blood flow in patient-specific cerebral arteries with a domain decomposition method, Lecture Notes in Computational Science and Engineering, Vol. 116 (2017), pp. 407-415.

[3] T.-Zhao, F.-N. Hwang, and X.-C. Cai, A domain decomposition based Jacobi- Davidson algorithm for quantum dot simulation, Lecture Notes in Computational Science and Engineering, Vol. 104 (2016), pp. 415-423.

[4] F.-N. Hwang, Yi-Cheng Su, and X.-C. Cai A parallel adaptive nonlinear elimination preconditioned inexact Newton for transonic full potential flow problems, Procedia Engineering, Vol. 61 (2013), pp. 402.

[5] Z.-H. Wei, F.-N. Hwang, T.-M. Huang, and W. Wang, A parallel scalable PETSc- based Jacobi-Davidson polynomial eigensolver with application in quantum dot simulation, Lecture Notes in Computational Science and Engineering, Vol. 78 (2011), pp. 157-164.

[6] F.-N. Hwang, Z.-H. Wei, T.-M. Huang, and W. Wang, Parallel implementation of Jacobi-Davidson algorithms for large-scale polynomial eigenvalue problems using PETSc and SLEPc, The Proceedings of the HPC Asia 2009, (2009) Kaohsiung, Taiwan, pp. 522-527.

[7] C.-T. Hung, M.-H. Hu, Y.-M. Chiu, K.-M. Lin, Y.-C. Wang, J.-S. Wu, and F.-N. Hwang Non-thermal plasma simulation using parallel 2D fluid modeling code, The Proceedings of the HPC Asia 2009, (2009) Kaohsiung, pp. 528-533.

[8] C.-T. Hung, M.-H. Hu, Y.-M. Chiu, J.-S. Wu, and F.-N. Hwang, Development of a parallel 2D fluid modeling code for non-thermal plasma simulations, The Proceedings of the 26th International Symposium on Rarefied Gas Dynamics, (2008) Kyoto, Japan.

[9] F.-N. Hwang and X.-C. Cai, A combined linear and nonlinear preconditioning technique for incompressible Navier-Stokes equations, Lecture Notes in Computer Science, Vol. 3732 (2006), pp. 313-322.

[10] F.-N. Hwang and X.-C. Cai, Improving robustness and parallel scalability of Newton method through nonlinear preconditioning, Lecture Notes in Computational Science and Engineering, Vol. 40 (2005), pp. 201-208.

[11] X. Yue, F.-N. Hwang, R. Shandas, and X.-C. Cai, Simulation of branching blood flows on parallel computers, Biomedical Sciences Instrumentation, Vol. 40 (2004), pp. 325-330.

Feng-Nan Hwang 黃楓南

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