Numerical Methods


[J48] Jen-Hao Chen, I-Liang Chern*, and Weichung Wang.
A Complete Study of the Ground State Phase Diagrams of Spin-1 Bose-Einstein Condensates in a Magnetic Field via Continuation Methods.
Journal of Scientific Computing, 64(1), pp. 35-54, 2015.

[J35] Weichung Wang*, Tsung-fang Wu, and Chien-Hsiang Liu.
On the Multiple Spike Solutions for Singularly Perturbed Elliptic Systems.
Discrete and Continuous Dynamical Systems-Series B, 18(1), pp. 237-258, 2013.

[J33] Yueh-Cheng Kuo, Shih-Feng Shieh, and Weichung Wang*.
Rotational Quotient Procedure: a Tracking Control Continuation Method for PDEs on Radially Symmetric Domains.
Computer Physics Communications, 183(4), pp. 998-1001, 2012.

[J27] Jen-Hao Chen, I-Liang Chern*, and Weichung Wang*.
Exploring Ground States and Excited States of Spin-1 Bose-Einstein Condensates by Continuation Methods.
Journal of Computational Physics, 230, pp. 2222-2236, 2011.

[J25] Yueh-Cheng Kuo, Wen-Wei Lin, Shih-Feng Shieh, and Weichung Wang*.
Exploring Bistability in Rotating Bose-Einstein Condensates by a Quotient Transformation Invariant Continuation Method.
Physica D: Nonlinear Phenomena, 240, pp. 78-88, 2011.

[J22] Yueh-Cheng Kuo, Wen-Wei Lin, Shih-Feng Shieh, and Weichung Wang*.
A Hyperplane-Constrained Continuation Method for Near Singularity in Coupled Nonlinear Schrödinger Equations.
Applied Numerical Mathematics, 60, pp. 513-526, 2010.

[J20] Yueh-Cheng Kuo, Wen-Wei Lin, Shih-Feng Shieh, and Weichung Wang*.
A Minimal Energy Tracking Continuation Method for Coupled Nonlinear Schrödinger Equations.
Journal of Computational Physics, 228(21), pp. 7941-7956, 2009.

[J18] Tsung-Min Hwang, Wei-Hua Wang, and Weichung Wang*.
Efficient Numerical Schemes for Electronic States in Coupled Quantum Dots.
Journal of Nanoscience and Nanotechnology, 8(7), pp. 3695-3709, 2008.

[J17] Tsung-Min Hwang, Wei-Cheng Wang, and Weichung Wang*.
Numerical Schemes for Three Dimensional Irregular Shape Quantum Dots over Curvilinear Coordinate Systems.
Journal of Computational Physics, 226(1), pp. 754-773, 2007.

[J16] Huei-Li Lin and Weichung Wang*.
A Palais-Smale Approach to Lane-Emden Equations.
Journal of Mathematical Analysis and Applications, 330, pp. 1220-1237, 2007.

[J15] Weichung Wang*, Tsung-Min Hwang, and Jia-Chuan Jang.
A Second-Order Finite Volume Scheme for Three Dimensional Truncated Pyramidal Quantum Dot.
Computer Physics Communications, 174(5), pp. 371-385, 2006.

[J11] Tsung-Min Hwang, Wen-Wei Lin, Jinn-Liang Liu, Weichung Wang*.
Fixed Point Methods for a Semiconductor Quantum Dot Model.
Mathematical and Computer Modelling, 40, pp. 519-533, 2004.

[J10]Tsung-Min Hwang, Wen-Wei Lin, Wei-Cheng Wang, and Weichung Wang*.
Numerical Simulation of Three Dimensional Pyramid Quantum Dot.
Journal of Computational Physics, 196(1), pp. 208-232, 2004.

[J9] C. Juang, S. T. Huang, C. Y. Liu, W. Wang, T. M. Hwang, J. Juang and W. W. Lin.
Subcarrier Multiplexing by Chaotic Multi-Tone Modulation.
IEEE Journal of Quantum Electronics, 39(10), pp. 1321-1326, 2003.

[J8] Weichung Wang*, Tsung-Min Hwang, Wen-Wei Lin, and Jinn-Liang Liu.
Numerical Methods for Semiconductor Heterostructures with Band Nonparabolicity.
Journal of Computational Physics, 190(1), pp. 141-158, 2003.

[J6] Ming-Chih Lai*, Wen-Wei Lin, and Weichung Wang.
A fast spectral/difference method without pole condition for Poisson-type equation in cylindrical and spherical geometries.
IMA Journal of Numerical Analysis, 22(4), pp. 537-548, 2002.

[J5] Tsung-Min Hwang* and Weichung Wang.
Analyzing and visualizing a discretized semilinear elliptic problem with Neumann boundary conditions.
Numerical Methods for Partial Differential Equations, 18(3), pp. 261-279, 2002.

[J3] Weichung Wang*, Tsung-Min Hwang, Cheng Juang, Jong Juang, Chin-Yueh Liu, and Wen-Wei Lin.
Chaotic behaviors of bistable laser diodes and its application in synchronization of optical communication.
Japanese Journal of Applied Physics, 40(10), pp. 5914-5919, 2001.