1. Tsung-Ming Huang, Yueh-Cheng Kuo, Wen-Wei Lin, and Shih-Feng Shieh, Structure-Preserving Doubling Algorithms That Avoid Breakdowns for Algebraic Riccati-Type Matrix Equations, SIAM J. Matrix Anal. Appl., Vol. 45, pp. 59-83, 2024.
  2. Tsung-Ming Huang, Yueh-Cheng Kuo, Wen-Wei Lin, and Chin-Tien Wu, An Optimal Parameterized Newton-Type Structure-Preserving Doubling Algorithm for Impact Angle Guidance-Based 3D Pursuer/Target Interception Engagement, Aerospace Science and Technology, 155, 109674, 2024
  3. Tsung-Ming Huang, Wei-Hung Liao and Wen-Wei Lin, Fundamental Theory and R-linear Convergence of Stretch Energy Minimization for Spherical Equiareal Parameterization, Journal of Numerical Mathematics, 32:1-25, 2024
  4. Wei-Hung Liao, Tsung-Ming Huang, Wen-Wei Lin, and Mei-Heng Yueh, Convergence of Dirichlet Energy Minimization for Spherical Conformal Parameterizations, Journal of Scientific Computing, 98:29, 2024
  5. Jia-Wei Lin, Tiexiang Li, Wen-Wei Lin, and Tsung-Ming Huang, Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations, Advances in Computational Mathematics, 49:50, 2023
  6. Tsung-Ming Huang, Wei-Hung Liao, Wen-Wei Lin, Mei-Heng Yueh, and Shing-Tung Yau, Convergence Analysis of Volumetric Stretch Energy Minimization and ItsAssociated Optimal Mass Transport, SIAM J. IMAGING SCIENCES, Vol. 16, 1825-1855, 2023.
  7. Wen-Wei Lin, Jia-Wei Lin, Tsung-Ming Huang, Tiexiang Li, Mei-Heng Yueh, and Shing-Tung Yau, A novel 2-phase residual U-net algorithm combined with optimal mass transportation for 3D brain tumor detection and segmentation, Scientific Reports, 12, 6452, 2022
  8. Xin Liang, Zhen-Chen Guo, Tsung-Ming Huang, Tiexiang Li, and Wen-Wei Lin, Bifurcation analysis of the eigenstructure of the discrete single-curl operator in three-dimensional Maxwell’s equations with Pasteur media, IMA J. Numer. Anal., 2022
  9. Xing-Long Lyu, Tiexiang Li, Jia-Wei Lin, Tsung-Ming Huang, Wen-Wei Lin, and Heng Tian, Solving Maxwell Eigenvalue Problems for Three Dimensional Isotropic Photonic Crystals with Fourteen Bravais Lattices, Journal of Computational and Applied Mathematics, 410, 114220, 2022.
  10. Wen-Wei Lin, Cheng Juang, Mei-Heng Yueh, Tsung-Ming Huang, Tiexiang Li, Sheng Wang, and Shing-Tung Yau, 3D Brain Tumor Segmentation Using a Two-Stage Optimal Mass Transport Algorithm, Scientific Reports, 11, 14686, 2021.
  11. Xing-Long Lyu, Tiexiang Li, Tsung-Ming Huang, Jia-Wei Lin, Wen-Wei Lin, and Sheng Wang, FAME: fast algorithms for Maxwell's equations for three-dimensional photonic crystals, ACM Trans. Math. Softw. 47, 3, Article 26 (June), 2021.
  12. Tsung-Ming Huang, Weichien Liao, Wen-Wei Lin, and Weichung Wang, An efficient contour integral based eigensolver for 3D dispersive photonic crystal, Journal of Computational and Applied Mathematics, Vol. 395, 113581, 2021.
  13. Xing-Long Lyu, Tiexiang Li, Tsung-Ming Huang, Wen-Wei Lin, and Heng Tian, The bi-Lebedev scheme for the Maxwell eigenvalue problem with 3D bi-anisotropic complex media, Comput. Phys. Commun., Vol. 261, 107769, 2021.
  14. Mei-Heng Yueh, Tsung-Ming Huang, Tiexiang Li, Wen-Wei Lin, and Shing-Tung Yau, Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems, Journal of Scientific Computing, Vol. 88, 64, 2021.
  15. Tsung-Ming Huang, Tiexiang Li, Jia-Wei Lin, Wen-Wei Lin, and Heng Tian, Structure-Preserving Methods for Computing Complex Band Structures of Three Dimensional Photonic Crystals, Journal of Scientific Computing, Vol. 83, 35, 2020.
  16. So-Hsiang Chou, Tsung-Ming Huang, Tiexiang Li, Jia-Wei Lin and Wen-Wei Lin
  17. Tsung-Ming Huang, Tiexiang Li, Ruey-Lin Chern and Wen-Wei Lin
  18. Tsung-Ming Huang, Wen-Wei Lin, Hsinhan Tsai and Weichung Wang, Highly efficient GPU eigensolver for three-dimensional photonic crystal band structures with any Bravais lattice, Comput. Phys. Commun., Vol. 245, 106841, 2019.
  19. Tsung-Ming Huang, Wen-Wei Lin, Heng Tian and Guan-Hua Chen
  20. Tiexiang Li, Tsung-Ming Huang, Wen-Wei Lin and Jenn-Nan Wang
  21. Li, T., Huang, T.-M., Lin, W.-W., Wang, J.-N., Inverse Problems 33 (2017) 035009
  22. Tsung-Ming Huang, Wen-Wei Lin and Volker Mehrmann, A Newton-type method with nonequivalence deflation for nonlinear eigenvalue problems arising in photonic crystal modeling, SIAM J. Sci. Comput. Vol. 38, No. 2, B191-B218, 2016.
  23. I.-K. Liu, R. W. Pattinson, T. P. Billam, S. A. Gardiner, S. L. Cornish, T.-M. Huang, W.-W. Lin, S.-C. Gou, N. G. Parker and N. P. Proukakis, Stochastic growth dynamics and composite defects in quenched immiscible binary condensates, Physical Review A, Vol. 93, 023628, 2016.
  24. Tsung-Ming Huang, Wei-Qiang Huang, Ren-Cang Li and Wen-Wei Lin, A new two-phase structure-preserving doubling algorithm for critically singular M-matrix algebraic Riccati equations, Numerical Linear Algebra with Applications, Vol. 23, 291-313, 2016
  25. Tsung-Ming Huang, Wen-Wei Lin and Weichung Wang, Comput. Phys. Commun., Vol. 207, 221-231, 2016.
  26. Ruey-Lin Chern, Han-En Hsieh, Tsung-Ming Huang, Wen-Wei Lin and Weichung Wang, Singular value decompositions for singular-curl operators in three-dimensional Maxwell's equations for complex media, SIAM J. Matrix Anal. Appl., Vol. 36, No. 1, 203-224, 2015.
  27. Yin-Liang Huang, Tsung-Ming Huang, Wen-Wei Lin and Wei-Cheng Wang, A null space free Jacobi-Davidson iteration for Maxwell's operator, SIAM J. Sci. Comput., Vol. 37, No. 1, A1-A29, 2015.
  28. Tsung-Ming Huang, Wei-Qiang Huang and Wen-Wei Lin, A robust numerical algorithm for computing Maxwell's transmission eigenvalue problems, SIAM J. Sci. Comput. Vol. 37, No. 5, A2403-A2423, 2015.
  29. Tsung-Ming Huang, Han-En Hsieh, Wen-Wei Lin and Weichung Wang, Eigenvalue solvers for three dimensional photonic crystals with face-centered cubic lattice, Journal of Computational and Applied Mathematics, Vol. 272, 350-361, 2014
  30. Wei-Qiang Huang, Xianfeng David Gu, Tsung-Ming Huang, Song-Sun Lin, Wen-Wei Lin and Shing-Tung Yau, High performance computing for spherical conformal and Riemann mappings, Geometry, Imaging and Computing, Vol. 1, 223-258, 2014
  31. Tsung-Ming Huang, Zhongxiao Jia and Wen-Wei Lin, On the convergence of Ritz pairs and refined Ritz vectors for quadratic eigenvalue problems, BIT, Vol. 53, 941-958, 2013.
  32. Tsung-Ming Huang, Tiexiang Li, Wen-Wei Lin and Chin-Tien Wu, Numerical studies on structure-preserving algorithms for surface acoustic wave simulations, Journal of Computational and Applied Mathematics, Vol. 244, pp. 140-154, 2013
  33. Tsung-Ming Huang, Han-En Hsieh, Wen-Wei Lin and Weichung Wang, Matrix representation of the double-curl operator for simulating three dimensional photonic crystals, Mathematical and Computer Modelling, Vol. 58, 379-392, 2013
  34. Tsung-Ming Huang, Han-En Hsieh, Wen-Wei Lin and Weichung Wang, Eigendecomposition of the discrete double-curl operator with application to fast eigensolver for three dimensional photonic crystals, SIAM J. Matrix Anal. Appl., Vol. 34, 369-391, 2013
  35. Tsung-Ming Huang, Wen-Wei Lin and Chin-Tien Wu, Structure-preserving Arnoldi-type algorithm for solving eigenvalue problems in Leaky surface wave propagation, Applied Mathematics and Computation, Vol. 219, 9947-9958, 2013.
  36. Tsung-Ming Huang, Yueh-Cheng Kuo and Weichung Wang, Computing extremal eigenvalues for three-dimensional photonic crystals with wave vectors near the Brillouin zone center, J. Sci. Comput., Vol. 55, 529-551, 2013
  37. Tsung-Ming Huang, Weichung Wang and Chang-Tse Lee, An efficiency study of polynomial eigenvalue problem solvers for quantum dot simulations, Taiwanese Journal of Mathematics, Vol. 14, No. 3A, pp. 999-1021, 2010.
  38. Tsung-Ming Huang, Wen-Wei Lin and Wei-Shuo Su, Palindromic quadratization and structure-preserving algorithm for palindromic matrix polynomials of even degree, Numerische Mathematik, Vol. 118, pp. 713-735, 2011.
  39. Tsung-Ming Huang, Feng-Nan Hwang, Sheng-Hong Lai, Weichung Wang and Zih-Hao Wei, A parallel polynomial Jacobi-Davidson approach for dissipative acoustic eigenvalue problems, Computers & Fluids, Vol. 45, 207-214, 2011.
  40. Tsung-Ming Huang, Wei-Jen Chang, Yin-Liang Huang, Wen-Wei Lin, Wei-Cheng Wang and Weichung Wang, Preconditioning bandgap eigenvalue problems in three dimensional photonic crystals simulations, Journal of Computational Physics, Vol. 229, pp. 8684-8703, 2010.
  41. Tsung-Ming Huang, Weichung Wang and Chang-Tse Lee, An efficiency study of polynomial eigenvalue problem solvers for quantum dot simulations, Taiwanese Journal of Mathematics, Vol. 14, No. 3A, pp. 999-1021, 2010.
  42. Feng-Nan Hwang, Zih-Hao Wei, Tsung-Ming Huang and Weichung Wang, A Parallel Additive Schwarz Preconditioned Jacobi-Davidson Algorithm for Polynomial Eigenvalue Problems in Quantum Dot Simulation, Journal of Computational Physics, Vol. 229, pp. 2932-2947, 2010.
  43. Eric King-wash Chu, Tsung-Ming Huang, Wen-Wei Lin and Chin-Tien Wu, Palindromic Eigenvalue problems: a Brief Survey, Taiwanese Journal of Mathematics, Vol. 14, No. 3A, pp. 743-779, 2010.

名稱 開始日期 結束日期 委託單位 編號 參與身份別
保體積/保質量參數化最優傳輸與腦腫瘤分割應用之研究 2026/08/01 2027/07/31 國科會 NSTC 113-2115-M-003 -011 -MY3 主持人
保體積/保質量參數化最優傳輸與腦腫瘤分割應用之研究 2025/08/01 2026/07/31 國科會 NSTC 113-2115-M-003 -011 -MY3 主持人
保體積/保質量參數化最優傳輸與腦腫瘤分割應用之研究 2024/08/01 2025/07/31 國科會 NSTC 113-2115-M-003 -011 -MY3 主持人
三維馬克斯威爾方程與完美電導體和完美匹配層之數值計算及其應用(1/3) 2023/08/01 2024/07/31 科技部(原國科會) MOST 110-2115-M-003 -012 -MY3 主持人
三維馬克斯威爾方程與完美電導體和完美匹配層之數值計算及其應用(1/3) 2022/08/01 2023/07/31 科技部(原國科會) MOST 110-2115-M-003 -012 -MY3 主持人
三維馬克斯威爾方程與完美電導體和完美匹配層之數值計算及其應用(1/3) 2021/08/01 2022/07/31 科技部(原國科會) MOST 110-2115-M-003 -012 -MY3 主持人
三維手性介質特徵值與特徵向量之結構化數值計算與探討 2020/08/01 2021/07/31 科技部(原國科會) MOST 108-2115-M-003 -012 -MY2 主持人
三維手性介質特徵值與特徵向量之結構化數值計算與探討 2019/08/01 2021/07/31 科技部(原國科會) MOST 108-2115-M-003 -012 -MY2 主持人
拓樸光子晶體上的三維馬克斯威爾方程之快速演算法(3/4) 2019/08/01 2020/07/31 科技部(原國科會) MOST 108-2119-M-009-006 協同/共同主持人
拓樸光子晶體上的三維馬克斯威爾方程之快速演算法(2/4) 2018/08/01 2019/07/31 科技部(原國科會) MOST 107-2119-M-009-014 協同/共同主持人
三維複雜材料Maxwell方程式之快速特徵值計算方法研究(3/3) 2018/08/01 2019/07/31 科技部(原國科會) MOST 105-2115-M-003 -009 -MY3 主持人
三維複雜材料Maxwell方程式之快速特徵值計算方法研究(2/3) 2017/08/01 2018/07/31 科技部(原國科會) MOST 105-2115-M-003 -009 -MY3 主持人
拓樸光子晶體上的三維馬克斯威爾方程之快速演算法(1/4) 2017/08/01 2018/07/31 科技部(原國科會) MOST 106-2628-M-009-004 協同/共同主持人
三維複雜材料Maxwell方程式之快速特徵值計算方法研究(1/3) 2016/08/01 2017/07/31 科技部(原國科會) 105-2115-M-003-009-MY3 主持人
三維金屬電漿晶體之非線性特徵值問題計算(3/3) 2015/08/01 2016/07/31 科技部(原國科會) MOST 102-2115-M-003 -011 -MY3 主持人
三維金屬電漿晶體之非線性特徵值問題計算(2/3) 2014/08/01 2015/07/31 科技部(原國科會) MOST 102-2115-M-003 -011 -MY3 主持人
三維金屬電漿晶體之非線性特徵值問題計算 2013/08/01 2014/07/31 國科會 NSC 102-2115-M-003 -011 -MY3 主持人
光子晶體與電漿晶體之特徵值問題的高效能演算法研究 2012/08/01 2013/07/31 國科會 100-2115-M-003-010-MY 主持人
光子晶體與電漿晶體之特徵值問題的高效能演算法研究 2011/08/01 2013/07/31 國科會 100-2115-M-003-010-MY2 主持人
結構性特徵值問題之保結構數值計算方法(3/3) 2010/08/01 2011/07/31 國科會 97-2628-M-003-010-MY3 主持人
結構性特徵值問題之保結構數值計算方法(2/3) 2009/08/01 2010/07/31 國科會 97-2628-M-003-010-MY3 主持人
結構性特徵值問題之保結構數值計算方法(1/3) 2008/08/01 2009/07/31 國科會 97-2628-M-003-010-MY3 主持人
與時間無關的 Maxwell 方程式之數值研究(1/3) 2005/08/01 2006/07/31 國科會 94-2115-M-003-011- 主持人
超大型多項式特徵值問題之數值計算(2/2) 2004/08/01 2005/07/31 科技部(原國科會) NSC93-2115-M-003-001 主持人
超大型多項式特徵值問題之數值計算(1/2) 2003/08/01 2004/07/31 科技部(原國科會) NSC92-2115-M-003-013 主持人
特殊偏微分方程之快速離散解法及其理論分析(2/2) 2002/08/01 2003/07/31 科技部(原國科會) 91-2115-M-003-001 主持人
特殊偏微分方程之快速離散解法及其理論分析(1/2) 2001/08/01 2002/07/31 科技部(原國科會) 90-2115-M-003-002 主持人
大型稀疏矩陣之秩表現式LU分解(2/2) 2000/08/01 2001/07/31 科技部(原國科會) 89-2115-M-003-015 主持人
大型稀疏矩陣之秩表現式LU分解(1/2) 1999/08/01 2000/07/31 科技部(原國科會) 89-2115-M-214-008- 主持人
大型稀疏矩陣之秩表現式QR分解 1998/08/01 1999/07/31 科技部(原國科會) 88-2115-M-214-007- 主持人