C. T. Shieh

Professor  Chung-Tsun Shieh (Also Known as Chung-Tsun Hsieh)
Department of Mathematics
Tamkang University, New Taipei City, Taiwan
Email:  ctshieh@mail.tku.edu.tw
Education

Ph. D. 1993-1998, Institute of Mathematics, Tsing-Hua University, Taiwan

M.S. 1988-1990, Institute of Mathematics, Tsing-Hua University, Taiwan

B.S. 1984-1988, Department of Mathematics, Tsing-Hua University, Taiwan

Research Interests:

Inverse Problems, Spectral Theory, Differential Equations

Employment History

February 2012- Present , Professor, Department of Mathematics, Tamkang University

February 2006- January 2012,  Associate Professor, Department of Mathematics, Tamkang University

August 2003- January 2006,  Assistant Professor, Department of Mathematics, Tamkang University

August 1998- June 2003, Assistant Professor, Department of Mathematics, Fu-Jen University

August 1992- July 1993, Teaching Assistant, Department of Mathematics, Tsing-Hua University

Others

August 2009- July 2012 Editor-in-Chief, Tamkang Journal of Mathematics

August 2007-July 2009 Editor, Tamkang Journal of Mathematics Publications

Refereed papers

  1. Wang Yu Ping; Shieh, Chung-Tsun  On the reconstruction of a boundary value problem from incomplete nodal data. Results Math. 78 (2023), no. 3, Paper No. 94, 16 pp.
  2. Wang Yu Ping; Shieh, Chung-Tsun; Tang, Yong; The Partial Inverse Spectral Problems for a Differential Operator. Results Math. 78 (2023), no. 2, Paper No. 44.
  3. Tsai, Tzong-Mo; Liu, Hsiao-Fan; Buterin, Sergey; Chen, Lung-Hui; Shieh, Chung-Tsun Sturm-Liouville-type operators with frozen argument and Chebyshev polynomials. Math. Methods Appl. Sci. 45 (2022), no. 16, 9635–9652.
  4. Lung-Hui Chen, Tzong-Mo Tsai & Chung-Tsun Shieh (2022) Inverse resonance problem with partial information on the interval, Applicable Analysis, 101:14, 4970-4981.
  5. Buterin, S. A.; Malyugina, M. A.; Shieh, C.-T. An inverse spectral problem for second-order functional-differential pencils with two delays. Appl. Math. Comput. 411 (2021), Paper No. 126475, 19 pp.
  6. Koyunbakan, Hikmet; Shieh, Chung-Tsun, Inverse nodal problem for polynomial potentials. Funct. Anal. Optim. 42 (2021), no. 6, 671 -678.
  7. Wang, Yu Ping ; Shieh, Chung-Tsun, Inverse problems for Sturm-Liouville operators on a compact equilateral graph by partial nodal data. Methods Appl. Sci. 44 (2021), no. 1, 693–704.
  8. Wang, Yu Ping ; Shieh, Chung-Tsun, Inverse problems for Sturm-Liouville operators on a star-shaped graph with mixed spectral data.  Applicable Anal. 99 (2020), no. 14, 2371–2380.
  9. Wang, Yu Ping ; Shieh, Chung-Tsun; Wei, Xianbiao, Partial inverse nodal problems for differential pencils on a star-shaped graph. Methods Appl. Sci. 43 (2020), no. 15, 8841–8855.
  10. Wang, Yu Ping; Bondarenko, Natalia; Shieh, Chung Tsun; The inverse problem for differential pencils on a star-shaped graph with mixed spectral data. Sci. China Math. 63 (2020), no. 8, 1559–1570.
  11. Bondarenko, Natalia P. ; Shieh, Chung-Tsun, Partial inverse problems for quadratic differential pencils on a graph with a loop. Inverse Ill-Posed Probl. 28 (2020), no. 3, 449–463.
  12. Wang, Yu Ping ; Zhao, Wenju; Shieh, Chung Tsun, Reconstruction for a class of the inverse transmission eigenvalue problem. Math. Methods Appl. Sci. 42 (2019), no. 18, 6660–6671.
  13. Wang, Yu Ping ; Hu, Yiteng ; Shieh, Chung Tsun, Inverse problems for Sturm-Liouville differential operators on closed sets.  Tamkang J. Math. 50 (2019), no. 3, 307–319.
  14. Sat, Murat; Shieh, Chung Tsun, Inverse nodal problems for integro-differential operators with a constant delay. J. Inverse Ill-Posed Probl. 27 (2019), no. 4, 501–509.
  15. Wang, Yu Ping ; Yurko, V. A.; Shieh, Chung Tsun,  The uniqueness in inverse problems for Dirac operators with the interior twin-dense nodal subset.  Math. Anal. Appl. 479 (2019), no. 1, 1383–1402.
  16. Hu, Yi-teng; Bondarenko, Natalia Pavlovna; Shieh, Chung-Tsun; Yang, Chuan-fu, Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph.  Applied Mathematics and Computation. 363 (2019), 124606, 10 pp
  17. Wang, Yu Ping ; Shieh, Chung Tsun; Miao, Hong Yi, Reconstruction for Sturm-Liouville equations with a constant delay with twin-dense nodal subsets.  Inverse Probl. Sci. Eng. 27 (2019), no. 5, 608–617.
  18. Wang, Yu Ping ; Shieh, Chung Tsun, The inverse interior transmission eigenvalue problem with mixed spectral data.  Applied Mathematics and Computation 343 (2019), 285–298.
  19. Wang, Yu Ping ; Lien, Ko Ya; Shieh, Chung Tsun, On a uniqueness theorem of Sturm-Liouville equations with boundary conditions polynomially dependent on the spectral parameter.  Boundary Value Probl. 2018, Paper No. 28, 11 pp.
  20. Bondarenko, Natalia; Shieh, Chung-Tsun. Partial inverse problems for Sturm-Liouville operators on trees.. Proc. Roy. Soc. Edinburgh Sect. A , 47 (2017), no. 5, 917–933..
  21. Yu Ping Wang; Ko Ya Lien; *Chung-Tsun Shieh. Inverse problems for the boundary value problem with the interior nodal subsets. Applicable Analysis, Volume 96, 2017 - Issue 7, 1229-1239.
  22. Wang, Yu Ping, Shieh, Chung Tsun and Miao, Hong Yi. "Inverse transmission eigenvalue problems with the twin-dense nodal subset: " Journal of Inverse and Ill-posed Problems, vol. 25, no. 2, 2017, pp. 237-249. https://doi.org/10.1515/jiip-2016-0021
  23. Oleg Gorbunov; Chung-Tsun Shieh; Vjacheslav Yurko, Dirac system with a singularity in an interior point, Applicable Analysis, 95(2016) :11, 2397-2414.
  24. Ｗang  Yu Ping; Shieh, Chung Tsun, Inverse problems for Sturm-Liouville equations with boundary conditions linearly dependent on the spectral parameter from partial information. Results Math. 65 (2014), no. 1-2, 105–119.
  25. Wang, Yu Ping; Shieh, Chung Tsun; Ma, Yan Ting, Inverse spectral problems for Sturm-Liouville operators with partial information. Appl. Math. Lett. 26 (2013), no. 12, 1175–1181.
  26. Buterin, Sergey A.; Shieh, Chung-Tsun; Yurko, Vjacheslav A., Inverse spectral problems for non-selfadjoint second-order differential operators with Dirichlet boundary conditions. Bound. Value Probl. 2013, 2013:180, 24 pp.
  27. Buterin, S. A.; Shieh, C.-T., Incomplete inverse spectral and nodal problems for differential pencils. Results Math. 62 (2012), no. 1-2, 167–179.
  28. Chang, Tsorng-Hwa; Shieh, Chung-Tsun, Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval. Bound. Value Probl. 2011, 2011:40, 8 pp.
  29. Shieh, Chung-Tsun; Buterin, S. A.; Ignatiev, Mikhail, On Hochstadt-Lieberman theorem for Sturm-Liouville operators. Far East J. Appl. Math. 52 (2011), no. 2, 131–146.
  30. Kuryshova, Yulia V.; Shieh, Chung-Tsun, An inverse nodal problem for integro-differential operators. J. Inverse Ill-Posed Probl. 18 (2010), no. 4, 357–369.
  31. Ignatiev, Mikhail Yu.; Shieh, Chung-Tsun, Recovering the Sturm-Liouville operator with singular potential using nodal data. Results Math. 57 (2010), no. 1-2, 183–194.
  32. Buterin, S. A.; Shieh, Chung Tsun, Inverse nodal problem for differential pencils. Appl. Math. Lett. 22 (2009), no. 8, 1240–1247.
  33. Shieh, Chung-Tsun; Yurko, V. A., Inverse nodal and inverse spectral problems for discontinuous boundary value problems. J. Math. Anal. Appl. 347 (2008), no. 1, 266–272.
  34. Shieh, Chung-Tsun, Isospectral sets and inverse problems for vector-valued Sturm-Liouville equations. Inverse Problems 23 (2007), no. 6, 2457–2468.
  35. Shieh, Chung-Tsun, On the behavior of the first eigenvalue of the spherical Laplacian operator on a spherical annulus. Math. Inequal. Appl. 9 (2006), no. 1, 147–151.
  36. Shieh, Chung-Tsun, On higher order eigenvalues of the spherical Laplacian operator. Taiwanese J. Math. 9 (2005), no. 3, 521–530.
  37. Cheng, Yan-Hsiou; Shieh, Chung-Tsun; Law, C. K., A vectorial inverse nodal problem. Proc. Amer. Math. Soc. 133 (2005), no. 5, 1475–1484 (electronic).
  38. Shieh, Chung-Tsun, Some inverse problems on Jacobi matrices. Inverse Problems 20 (2004), no. 2, 589–600.
  39. Shieh, Chung-Tsun, On the second eigenvalue of the Laplace operator on a spherical band. Proc. Amer. Math. Soc. 132 (2004), no. 1, 157–164 (electronic).
  40. Shen, Chao-Liang; Shieh, Chung-Tsun, An inverse nodal problem for vectorial Sturm-Liouville equations. Inverse Problems 16 (2000), no. 2, 349–356.
  41. Shen, Chao-Liang; Shieh, Chung-Tsun, On the multiplicity of eigenvalues of a vectorial Sturm-Liouville differential equation and some related spectral problems. Proc. Amer. Math. Soc. 127 (1999), no. 10, 2943–2952.
  42. Shen, Chao-Liang; Shieh, Chung-Tsun, Two inverse eigenvalue problems for vectorial Sturm-Liouville equations. Inverse Problems 14 (1998), no. 5, 1331–1343.
  43. Shen, Chao Liang; Shieh, Chung Tsun, Some properties of the first eigenvalue of the Laplace operator on the spherical bands in S2. SIAM J. Math. Anal. 23 (1992), no. 5, 1305–1308