# Qin (Tim) Sheng

Professor of Mathematics

Casper Faculty

#### Professor of Mathematics

##### Qualifications

Ph.D. in Mathematics, University of Cambridge, 1990

##### Biography

Dr. Sheng joined the Baylor faculty in August 2005. Prior to coming to Baylor he held
a research position in University of London (1989-1990), a visiting professor position
in Baylor University (2003) and faculty positions in National University of Singapore
(1990-1995), University of Louisiana (1996-2001) and University of Dayton (2001-2005).
He was a recipient of the J. T. Knight Prize in Mathematics (1987),
Lundgren Research Award (1989), and Ky and Y. Fan Award from the AMS (2017).
Dr. Sheng was an invited research participant of the Isaac Newton Institute for
Mathematical Sciences, Cambridge, England (2007, 2015, 2019). He was a
U.S. Air Force Research Fellow (2005-2013). He has been on the NSF Panel Board since
2014. Dr. Sheng has been an Editor-in-Chief of International Journal of Computer
Mathematics, an SCI journal published by Taylor and Francis since 2010. Dr. Sheng
directed a number of doctoral dissertations, M.S. theses and several undergraduate research
projects. He is married to Helen. They have two sons. He enjoys reading, painting,
traveling and spending time with the family.

##### Academic Interests and Research

Dr. Sheng's research is in applied and computational mathematics. In particular, he is interested
in splitting and adaptive methods for solving singular partial differential equations.
He is also interested in financial mathematics, deep machine learning and algorithm designs.
He has been involved in cross-disciplinary projects in scientific and engineering
computations. Dr. Sheng has been active in his research fields and community. He is on
editorial boards of several scholarly journals and special research issues. He gives
presentational in major national and international conferences. His
projects have been supported by the United States Air Force Research Laboratory and
Department of Defense.

##### Selected Research Articles

(with L. Zhu) A note on the adaptive numerical solution of a Riemann-Liouville space-fractional Kawarada problem,
*J. Comput. Appl. Math.,* 374 (2020), https://doi.org/10.1016/j.cam.2020.112714

(with B. Li, T. Zhu, A. Wang, K. Kirsten and G. Cleaver ) Preinationary perturbations from the closed
algebra approach in loop quantum cosmology, *Phys. Rev. D,* 99 (2019), 103536

(with T.N. Jones) Asymptotic stability of a dual-scale compact method for
approximating highly oscillatory Helmholtz solutions, *J. Comp. Phys,* 392 (2019), 403-418

(with T.N. Jones) Numerical stabilities study of a decomposed compact method for highly
oscillatory Helmholtz equations, *J. Comput. Appl. Math.,* 354 (2019),
334-347.

(with T. Zhu, A. Wang, K. Kirsten and G. Cleaver) Primordial non-Gaussianity and power
asymmetry with quantum gravitational effects in loop quantum cosmology, *Phys. Rev. D,*
97 (2018), 043501

(with J. Padgett) Numerical solution of degenerate stochastic Kawarada equations via a
semi-discretized approach, *Appl. Math. Comput.,* 325 (2018) 210-226

(with J. Padgett) Nonuniform Crank-Nicolson schemes for solving the stochastic
Kawarada equation via arbitrary grids, *Numer. Meth. PDEs,* 33 (2017), 1305-1328

(with T. Jones, L.P. Gonzalez and S. Guha) A continuing exploration of a decomposed
compact method for highly oscillatory wave problems, *J. Comp. Appl. Math.,* 299 (2016), 207-220

The legacy of ADI and LOD methods and an operator splitting algorithm for
solving highly oscillatory wave problems, *Springer Proc. Math. Stat.,* 171 (2016), 215-230

##### Book Chapters

Encyclopedia of Applied and Computational Mathematics, Springer Verlag GmbH, Heidelberg, 2015.

Adaptive Method of Lines, CRC Press, New York and London, 2001.

##### Teaching Interests

Dr. Sheng's teaching interests range from introductory calculus classes to specialized
courses for graduate students. He has been offering individual study courses on numerical
methods for partial differential equations, approximation theory and methods as well as
computational finance for graduate and undergraduate students.

##### Courses taught at Baylor

- MTH 1321 - Calculus I
- MTH 1322 - Calculus II
- MTH 3325 - Differential Equations
- MTH 3326 - Partial Differential Equations
- MTH 4322 - Numerical Analysis
- MTH 4328 - Numerical Linear Algebra
- MTH 6352 - Finite Difference Methods
- MTH 4V90 - Special Topics in Mathematics
- MTH 5V92 - Special Topics in Applied Mathematics
- MTH 6V24 - Numerical Methods for Partial Differential Equations
- MTH 6V28 - Computational Finance
- MTH 6V99 - Ph.D. Dissertation
- Baylor Honor's College - Honor's Research Projects in Mathematics