Contact Information
Professional Activities
  • Executive member of the council, the Mathematical Society of the ROC(TMS), 2020.01-2021.12
  • Executive member of the council, the Taiwan society for Industrial and Applied Mathematics(TW-SIAM), 2020.06-2022.05
Research Interests
  • Numerical Partial Differential Equations, Imaging Process, Data Analysis, Scientific Computing.
  • Ph.D. University of Maryland, College Park, 1998.
  • M.S. National Tsing Hua University, 1987.
  • B.S. National Chung Hsing University, 1985.
Selected recent publications:
  • 1. Sirilak Sriburadet, Yin-Tzer Shih*, B.-W. Jeng, C.-H. Hsueh, and C.-S. Chien, A numerical scheme for the ground state of rotating spin-1 Bose-Einstein condensates, Scientific Reports, 11(2021) 22801. DOI: 10.1038/s41598-021-02249-4.
  • Y.-T. Lin, Y.-T. Shih*, C.-S. Chien and Q. Sheng, A note on stochastic polynomial chaos expansions for uncertain volatility and Asian option pricing, Applied Mathematics and Computation 393 (2021), 125764.
  • S Sriburadet, YT Shih*, CS Chien, Stability analysis and continuation for the coupled Gross–Pitaevskii equations, Computers & Mathematics with Applications 78 (3), 807-826, 2019
  • Houde Han, Yintzer Shih*, Tongsheng Yin. Tailored Finite Point Methods for Solving Singularly Perturbed Eigenvalue Problems with Higher Eigenvalues, J. Scientific Computing, 73(1), 242-282, 2017.
  • Chih-Ching Tsai, Yin-Tzer Shih*, Yu-Tuan Lin and Hui-Ching Wang. Tailored finite point method for solving one-dimensional Burgers' equation. International Journal of Computer Mathematics, 94(4), 800-812, 2017.
  • Sirilak Sriburadet, Y.-S. Wang, C.-S. Chien*, Y. Shih. Pseudo arclength continuation algorithms for binary Rydberg-dressed Bose-Einstein condensates. Communications in Computational Physics, 19(4), 1067-1093, 2016.
  • Yu-Tuan Lin, Yin-Tzer Shih* and Chih-Ching Tsai. An Anisotropic Convection-Diffusion Model Using Tailored Finite Point Method for Image Denoising and Compression. Communications in Computational Physics, 19(5), 1357-1374, 2016.
  • Po-Wen Hsieh, Yin-Tzer Shih, Suh-Yuh Yang*, and Cheng-Shu You. A Novel Technique for Constructing Difference Schemes for Systems of Singularly Perturbed Equations. Communications in Computational Physics, 19(5), 1287-1301, 2016.
  • H. Han, Y. Shih* and C. Tsai, Tailored finite point method for numerical solutions of singular perturbed eigenvalue problems, Adv. Appl. Math. Mech. (AAMM), 6 (2014), pp. 376-402.
  • Y. Shih* and C. Tsai, A two-parameter continuation algorithm using radial basis function collocation method for rotating Bose-Eistein condensates, J Phy., 252 (2013) 37-51.
  • Y. Shih*, C.S. Chien and C.Y. Chung, An Adaptive Parameterized Block-Based Singular Value Decomposition for Image Denoising and Compression, Applied Mathematics and Computation , 218 (2012), 21, 10370-10385.
  • Y. Shih*, J.Y. Cheng and K.T. Chen, An exponential fitting finite element scheme for convection-diffusion problems, Applied Mathematics and Computation, 217 (2011), pp. 5798-5809.
  • Y. Shih*, R.B. Kellogg and Y. Chang, Characteristic tailored finite point method for convection-dominated convection-diffusion-reaction problems, Journal of Scientific Computing, 47(2011), 198-215.
  • Po-Wen Hsieh, Yintzer Shih and Suh-Yuh Yang*, A tailored finite point method for steady MHD duct flow problems with boundary layers, Communications in Computational Physics (CiCP), 10 (2011), pp. 161-182.
  • Y. Shih*, R.B. Kellogg and P.S. Tsai, A Tailored Finite Point Method for Convection-Diffusion-Reaction Problems, Journal of Scientific Computing, 43 (2010), pp. 239-260.
  • C.S. Chien and Y. Shih*, A cubic Hermite finite element and continuation methods for numerical solution of the von K\'arm\'an equations, Applied Mathematics and Computation., Vol. 209, 356-368, 2009.
  • Y. Shih*, C. Rei and H. Wang, A novel PDE based image restoration: convection-diffusion equation for image denoising Journal of Computational and Applied Mathematics, 231 (2009), pp. 771-779.
  • Y.T. Shih* and T.R. Lucas, A new implementation of the elliptic systems method in time dependent diffusion tomography with back reflected and transmitted boundary data, Applied Mathematics and Computation. Vol. 188, 64-74, 2007.
  • Y. Shih and H.C. Elman*, Iterative Methods for Stabilized Discrete Convection-Diffusion Problems, IMA, Numerical Analysis, Vol 20, No 3,333-385, 2000.
  • Y. Shih and H.C. Elman*, Modified Streamline Diffusion Schemes for Convection-Diffusion LIroblems, Computer Methods in Applied Mechanics and Engineering, Vol. 174, 137-151, 1999.
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