• 116 Citations
  • 6 h-Index
20002020

Research output per year

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Research Output

  • 116 Citations
  • 6 h-Index
  • 25 Article
  • 1 Conference contribution
2000

The spatial entropy of two-dimensional subshifts of finite type

Juang, J., Lin, S. S., Shieh, S. F. & Lin, W. W., 2000 Dec, In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 10, 12, p. 2845-2852 8 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
2002
3 Citations (Scopus)

Eigenvalue problems for one-dimensional discrete Schrödinger operators with symmetric boundary conditions

Juang, J., Lin, W. W. & Shieh, S. F., 2002 Jan 1, In : SIAM Journal on Matrix Analysis and Applications. 23, 2, p. 524-533 10 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
2004

Eigenvalue problems of a two-dimensional Schrödinger operator with nonparabolic effective mass

Lin, W. W. & Shieh, S. F., 2004 Feb 1, In : Journal of Mathematical Physics. 45, 2, p. 576-584 9 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

On the spatial entropy of two-dimensional golden mean

Juang, J. & Shieh, S. F., 2004 Jan, In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 14, 1, p. 309-319 11 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2005

A continuation BSOR-Lanczos-Galerkin method for positive bound states of a multi-component Bose-Einstein condensate

Chang, S. M., Kuo, Y. C., Lin, W. W. & Shieh, S-F., 2005 Dec 10, In : Journal of Computational Physics. 210, 2, p. 439-458 20 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Bifurcation analysis of a two-component Bose-Einstein condensate

Kuo, Y. C., Lin, W. W. & Shieh, S-F., 2005 Nov 15, In : Physica D: Nonlinear Phenomena. 211, 3-4, p. 311-346 36 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)

Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate

Chang, S. M., Lin, W. W. & Shieh, S-F., 2005 Jan 1, In : Journal of Computational Physics. 202, 1, p. 367-390 24 p.

Research output: Contribution to journalArticle

36 Citations (Scopus)
2006

Mathematical analysis of the wavelet method of chaos control

Shieh, S. F., Wang, Y., Wei, G. & Lai, C. H., 2006 Sep 11, In : Journal of Mathematical Physics. 47, 8, 082701.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Synchronization and asynchronization in a lattice of Coupled Lorenz-type Maps

Lin, W. W., Shieh, S. F. & Wang, Y. I. Q., 2006 Feb, In : International Journal of Bifurcation and Chaos. 16, 2, p. 269-280 12 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2008

On the total variation, topological entropy and sensitivity for interval maps

Juang, J. & Shieh, S. F., 2008 May 15, In : Journal of Mathematical Analysis and Applications. 341, 2, p. 1055-1067 13 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Phase separation of multi-component Bose-Einstein condensates in optical lattices

Kuo, Y. C. & Shieh, S. F., 2008 Nov 15, In : Journal of Mathematical Analysis and Applications. 347, 2, p. 521-533 13 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Piecewise linear maps, Liapunov exponents and entropy

Juang, J. & Shieh, S. F., 2008 Feb 1, In : Journal of Mathematical Analysis and Applications. 338, 1, p. 358-364 7 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
2009

A minimal energy tracking method for non-radially symmetric solutions of coupled nonlinear Schrödinger equations

Kuo, Y. C., Lin, W. W., Shieh, S. F. & Wang, W., 2009 Nov 20, In : Journal of Computational Physics. 228, 21, p. 7941-7956 16 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Horseshoes for coupled discrete nonlinear Schrödinger equations

Shieh, S-F., 2009 Mar 9, In : Journal of Mathematical Physics. 50, 2, 022701.

Research output: Contribution to journalArticle

3 Citations (Scopus)
2010

A hyperplane-constrained continuation method for near singularity in coupled nonlinear Schrödinger equations

Kuo, Y. C., Lin, W. W., Shieh, S. F. & Wang, W., 2010 May 1, In : Applied Numerical Mathematics. 60, 5, p. 513-526 14 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
2011

Eigenvalue estimates using the Kolmogorov-Sinai Entropy

Shieh, S. F., 2011 Dec, In : Entropy. 13, 12, p. 2036-2048 13 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Exploring bistability in rotating BoseEinstein condensates by a quotient transformation invariant continuation method

Kuo, Y. C., Lin, W. W., Shieh, S-F. & Wang, W., 2011 Jan 1, In : Physica D: Nonlinear Phenomena. 240, 1, p. 78-88 11 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Spatial disorder of soliton solutions for 2D nonlinear Schrödinger lattices

Shieh, S. F., 2011, Proceedings of the World Congress on Engineering 2011, WCE 2011. Vol. 1. p. 7-12 6 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2012

A structure-preserving curve for symplectic pairs and its applications

Kuo, Y. C. & Shieh, S. F., 2012 Sep 3, In : SIAM Journal on Matrix Analysis and Applications. 33, 2, p. 597-616 20 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Rotational quotient procedure: A tracking control continuation method for PDEs on radially symmetric domains

Kuo, Y. C., Shieh, S-F. & Wang, W., 2012 Apr 1, In : Computer Physics Communications. 183, 4, p. 998-1001 4 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2014
2016

Structure-preserving flows of symplectic matrix pairs

Kuo, Y. C., Lin, W. W. & Shieh, S. F., 2016 Jan 1, In : SIAM Journal on Matrix Analysis and Applications. 37, 3, p. 976-1001 26 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
2017

The asymptotic analysis of the structure-preserving doubling algorithms

Kuo, Y. C., Lin, W. W. & Shieh, S. F., 2017 Oct 15, In : Linear Algebra and Its Applications. 531, p. 318-355 38 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2019

A structure preserving flow for computing Hamiltonian matrix exponential

Kuo, Y. C., Lin, W. W. & Shieh, S. F., 2019 Nov 1, In : Numerische Mathematik. 143, 3, p. 555-582 28 p.

Research output: Contribution to journalArticle

2020

Time-asymptotic dynamics of Hermitian Riccati Differential Equations

Kuo, Y. C., Lin, H. E. & Shieh, S. F., 2020 Feb, In : Taiwanese Journal of Mathematics. 24, 1, p. 131-158 28 p.

Research output: Contribution to journalArticle

Open Access