Refereed Journal Publications
Dynamics of the ground state and central vortex states in Bose–Einstein condensation, W. Bao and Y. Zhang, Math. Mod. Meth. Appl. Sci., 15 (2005), pp. 1863–1896.
Dynamics of rotating Bose–Einstein condensates and their efficient and accurate numerical computation, W. Bao, Q. Du and Y. Zhang, SIAM J. Appl. Math., 66 (2006), pp. 758–786.
Dynamics of rotating two-component Bose–Einstein condensates and its efficient computation, Y. Zhang, W. Bao and H. Li, Physica D, 234 (2007), pp. 49–69.
The dynamics and interaction of quantized vortices in Ginzburg–Landau–Schrodinger equation, Y. ¨Zhang, W. Bao and Q. Du, SIAM J. Appl. Math., 67 (2007), pp. 1740–1775.
Dynamics of vortices in weakly interacting Bose–Einstein condensates, A. Klein, D. Jaksch, Y. Zhang and W. Bao, Phys. Rev. A, 76 (2007), 043602.
Numerical simulation of vortex dynamics in Ginzburg–Landau–Schrodinger equation, Y. Zhang, W. ¨Bao and Q. Du, Eur. J. Appl. Math., 18 (2007), pp. 607–630.
Energy and chemical potential asymptotics for the ground state of Bose–Einstein condensates in the semiclassical regime, W. Bao, F.Y. Lim and Y. Zhang, Academia Sinica, 2 (2007), pp. 495–532.
Dynamics of the center of mass in rotating Bose–Einstein condensates, Y. Zhang and W. Bao, Appl. Numer. Math., 57 (2007), pp. 697–709.
Quantized vortex stability and interaction in the nonlinear wave equation, W. Bao, R. Zeng and Y. Zhang, Physica D, 237 (2008), pp. 2391–2410.
Efficiently computing vortex lattices in fast rotating Bose–Einstein condensates, R. Zeng and Y. Zhang, Comput. Phys. Commun., 180 (2009), pp. 854–860.
Dynamical laws of the coupled Gross–Pitaevskii equations for spin-1 Bose–Einstein condensates, W. Bao and Y. Zhang, Meth. Appl. Anal., 17 (2010), pp. 49–80.
Numerical study of vortex interactions in Bose–Einstein condensation, Y. Zhang, Commun. Comput. Phys., 8 (2010), pp. 327–350.
Quadrature-rule type approximations to the quasicontinuum method for long-range interatomic interactions, Y. Zhang and M. Gunzburger, Comput. Methods Appl. Mech. Engrg., 199 (2010), pp. 648–659.
A quadrature-rule type approximation to the quasicontinuum method, M. Gunzburger and Y. Zhang, Multi. Model. Simul., 8 (2010), pp. 571–590.
Maximizing critical currents in superconductors by optimization of normal inclusions properties, Y. Zhang, J. Peterson and M. Gunzburger, Physica D, 240 (2011), pp. 1701–1713.
A simple and efficient numerical method of computing the dynamics of rotating Bose–Einstein condensates via a rotating Lagrangian coordinate, W. Bao, D. Marahrens, Q. Tang and Y. Zhang, SIAM J. Sci. Comput., 35 (2013), pp. A2671–A2695.
Efficient methods for computing ground states of spin-1 Bose–Einstein condensates based on their characterizations, W. Bao, I-L. Chern and Y. Zhang, J. Comput. Phys., 253 (2013), pp. 189–208.
A spectral method for computing the dynamics of rotating two-component Bose–Einstein condensates via a coordinate transformation, J. Ming, Q. Tang and Y. Zhang, J. Comput. Phys., 258 (2014), pp. 538–554.
Computing the ground and first excited states of the fractional Schrodinger equation in an infinite ¨potential well, S. Duo and Y. Zhang, Commun. Comput. Phys., 18 (2015), pp. 321–350.
Profit-sharing between an open-source firm and application developers – Maximizing profits from applications and in-application advertisements, N. Fukawa and Y. Zhang, Ind. Market. Manag., 48 (2015), pp. 111–120.
Fractional Schrodinger dynamics and decoherence, K. Kirkpatrick and Y. Zhang, ¨ Physica D, 332 (2016), pp. 41–54.
Mass conservative method for solving the fractional nonlinear Schrodinger equation, S. Duo and Y. ¨Zhang, Comput. Math. Appl., 71 (2016), pp. 2257–2271.
Magnetic control of lateral migration of ellipsoidal microparticles in microscale flows, R. Zhou, C. A. Sobecki, J. Zhang, Y. Zhang and C. Wang, Phys. Rev. Appl., 8 (2017), 024019.
On the Galerkin approximation for the stochastic reaction-diffusion-advection equation, L. Yang and Y. Zhang, J. Math. Anal. Appl., 446 (2017), pp. 1230–1254.
Dynamics of paramagnetic and ferromagnetic ellipsoidal particles in shear flow under a uniform magnetic field, C.A. Sobecki, J. Zhang, Y. Zhang and C. Wang, Phys. Rev. Fluids, 3 (2018), 084201.
Numerical investigation of dynamics of elliptical magnetic microparticles in shear flows, J. Zhang, C.A. Sobecki, Y. Zhang and C. Wang, Microfluid Nanofluid, 22 (2018), 83.
A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem, S. Duo, H.-W. van Wyk and Y. Zhang, J. Comput. Phys., 355 (2018), pp. 233–252.
A fast algorithm for solving the space-time fractional diffusion equation, S. Duo, L. Ju and Y. Zhang, Comput. Math. Appl., 75 (2018), pp. 1929–1941.
Three-dimensional orientation for paramagnetic and ferromagnetic prolate spheroids in simple shear and uniform magnetic field, C. A. Sobecki, Y. Zhang and C. Wang, Phys. Fluids, 31 (2019),
Numerical approximations for the tempered fractional Laplacian: Error analysis and applications, S. Duo and Y. Zhang, J. Sci. Comput., 81 (2019), pp. 569–593.
Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications, S. Duo and Y. Zhang, Comput. Methods Appl. Mech. Engrg., 355 (2019), pp. 639–662.
A comparative study on nonlocal diffusion operators related to the fractional Laplacian, S. Duo, H. Wang and Y. Zhang, Discrete Cont. Dyn.-B, 24 (2019), pp. 231–256.
Numerical simulations for the energy-supercritical nonlinear wave equation, J. Murphy and Y. Zhang, Nonlinearity, 33 (2020), 6195.
Fast implicit difference schemes for time-space fractional diffusion equations with the integral fractional Laplacian, X. Gu, H. Sun, Y. Zhang, and Y. Zhao, Math. Meth. Appl. Sci., (2020), pp. 1–23.
Dynamics of plane waves in the fractional nonlinear Schrodinger equation with long-range dispersion, S. Duo, T. I. Lakoba, and Y. Zhang, Symmetry, 13 (2021), 1394.
Dynamic capability and open-source strategy in the age of digital transformation, N. Fukawa, Y. Zhang, and S. Erevelles, J. Open Innov. Technol. Mark. Complex., 7 (2021), 175.
A unified meshfree pseudospectral method for solving both classical and fractional PDEs, J. Burkardt, Y. Wu and Y. Zhang, SIAM J. Sci. Comput., 43 (2021), pp. A1389–A1411.
Pattern selection in the Schnakenberg equations: From normal to anomalous diffusion, H. Khudhair, Y. Zhang and N. Fukawa, Numer. Meth. PDEs, 38 (2022), pp. 1843–1860.
Highly accurate operator factorization methods for the integral fractional Laplacian and its generalization, Y. Wu and Y. Zhang, Discrete Cont. Dyn.-S, 15 (2022), 2022, pp. 851–876.
Variable-order Laplacian and its accurate and efficient computations with meshfree methods, Y. Wu and Y. Zhang, J. Sci. Compt., 99 (2024), article 18.
A novel and simple spectral method for nonlocal PDEs with the fractional Laplacian, S. Zhou and Y. Zhang, Comput. Math. Appl., 168 (2024), pp.133–147.
Refereed Conference Publications
Approximating the quasicontinuum method using quadrature rules, Y. Zhang and M. Gunzburger,
Proceedings of the Fourth International Conference on Multiscale Materials Modeling, (October 2008), pp. 57–60.
Open-source strategy to enhance imaginative intensity and profits, N. Fukawa, Y. Zhang and S. Erevelles, Proceedings of the Academy of Marketing Science Conference, 38 (2016), pp. 463.
Understanding B2B relationships between an open-source firm and application developers – Sharing profits from applications and in-application advertisements, N. Fukawa and Y. Zhang, Proceedings of the Academy of Marketing Science Conference, Brad Carlson and Todd Donavan (Eds.), 37 (2014), pp. 163.
Uncovering a local trend in consumer eye-tracking data – Application of singular value decomposition in analyzing gaze sequence data, N. Fukawa, Y. Zhang, D. Steward and J. Burkardt, Proceedings of Global Marketing Conference at Tokyo, (2018), pp. 690.