# Qin (Tim) Sheng, Ph.D.

Professor of Mathematics Casper Faculty

## Education

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, along with interests in financial mathematics, deep machine learning and algorithm designs. Dr. Sheng has been involved in cross-disciplinary projects in scientific and engineering computations and active in his research fields and community. He has served on editorial boards of several scholarly journals and special research issues and presented at major national and international conferences. Dr. Sheng's projects have been supported by the National Science Foundation and Simons Foundation.

## 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