SHENG, Qin

Current Research Interests

Numerical analysis, especially numerical solution of differential equations, operator splitting, adaptation, string theory, computational physical preservations

Selected Publications

T. N. Jones and Q. Sheng, Asymptotic stability of a dual-scale compact method for approximating highly oscillatory Helmholtz solutions, J. Comp. Phys, 392 (2019), 403-418.
B. Li, T. Zhu, A. Wang, K. Kirsten, G. Cleaver and Q. Sheng, Preinationary perturbations from the closed algebra approach in loop quantum cosmology, Phys. Rev. D, 99 (2019), 103536.
L. Zhu and Q. Sheng, A note on the adaptive numerical solution of a Riemann-Liouville spacefractional Kawarada problem, J. Comput. Appl. Math., 374 (2020), 466-478.
V. K. Singh and Q. Sheng, Bridging the science and technology by modern mathematical methods and high performance computing, Appl. Mathematics, 66 (2021), 177-181.
Q. Sheng, J. Zhang, H.-W. Sun and J. Jin, A spatially sixth-order hybrid $L1$-CCD method for solving time fractional Schr.dinger equations, Appl. Mathematics, 66 (2021), 213-232.
C. S. Chien, Yu-Tuan Lin, Q. Sheng and Yintzer Shih, A note on stochastic polynomial chaos expansions for uncertain volatility and Asian option pricing, Appl. Math. Comp., 393 (2021),
N. Garcia-Montoya, J. Kabre, J. E. Macias-Diaz and Q. Sheng, Second-order semi-discretized schemes for solving stochastic quenching models on arbitrary spatial grids, Discrete Dynamics in Nature and Society, 21 (2021).
T. N. Jones, E. Kostadinova, J. L. Padgett and Q. Sheng, A series representation of discrete fractional Laplace operators of arbitrary orders, 504 (2021), J. Math. Anal. Appl.
T. N. Jones, J. L. Padgett and Q. Sheng, Intrinsic properties of strongly continuous fractional semigroups in normed vector spaces, Baylor Analysis Fest-From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory, Birkhauser Series in Operator Theory: Advances and Applications, Birkhauser, Berlin, Germany, 2021.
Q. Sheng, J. E. Macias-Diaz and R. Martinez, An implicit semi-linear discretization of a bifractional Klein-Gordon-Zakharov system which conserves the total energy, Appl. Numer. Math., 169 (2021), 179-200.
J. Kabre and Q. Sheng, A preservative splitting approximation of the solution of a variable coefficient quenching problem, Computers & Math. Appl., 100 (2021), 62-73.
Q. Sheng, R. Martinez and J. E. Macias-Diaz, Two energy-preserving numerical models for a multi-fractional extension of the Klein-Gordon-Zakharov system, J. Comput. Appl. Math., 406 (2022), 114023, https://doi.org/10.1016/j.cam.2021.114023
Q. Sheng, B. Villegas-Villalpando and J.E. Macias-Diaz, Real valued function spaces for which integrable functions are bounded, Mathematics, 10 (2022), 1936-1942.
Q. Sheng and N. Garcia-Montoya, An operator splitting approach for two-dimensional Kawarada problems, Diff. Eqn. Appl. 14 (2022), 247-263.
Q. Sheng, J. E. Macias-Diaz and R. Martinez, A nonlinear discrete model for approximating a conservative multi-fractional Zakharov system: analysis and computational simulations, Math. Computers Simulation, 202 (2022), 1-21.
L. Zhu, N. Liu and Q. Sheng, A simulation expressivity of the quenching phenomenon in a two-sided space-fractional diffusion equations, Appl. Math. Comput., 437 (2023), 127523.
Q. Sheng and E. S. Torres, A nonconventional stability approach for a nonlinear Crank-Nicolson method solving degenerate Kawarada problems, Appl. Math. Lett., 144 (2023), 108730.
E. S. Torres and Q. Sheng, An accurate and preservative quenching data stream simulation method, Comm. Computer Info. Sci., (2023), to appear.