Faculty Profile

Shuang Liu

Assistant Professor
College of Science



PhD, University of South Carolina, 2019.
Major: Mathematics

Current Scheduled Teaching*

No current or future courses scheduled.

* Texas Education Code 51.974 (HB 2504) requires each institution of higher education to make available to the public, a syllabus for undergraduate lecture courses offered for credit by the institution.

Previous Scheduled Teaching*

MATH 1650.130, Pre Calculus, Spring 2024 Syllabus SPOT
MATH 1650.150, Pre Calculus, Fall 2023 Syllabus SPOT
MATH 1650.510, Pre Calculus, Fall 2023 Syllabus SPOT

* Texas Education Code 51.974 (HB 2504) requires each institution of higher education to make available to the public, a syllabus for undergraduate lecture courses offered for credit by the institution.

Published Publications

Published Intellectual Contributions

Journal Article
Liu, S., Wu, Y., Zhao, X. (2024). A ternary mixture model with dynamic boundary conditions. Other. 21(2), 2050-2083. Pasadena, California: American Institute of Mathematical Sciences. http://www.aimspress.com/article/doi/10.3934/mbe.2024091
Liu, S., Cheng, L., Li, B. (2023). CELL POLARITY AND MOVEMENT WITH REACTION-DIFFUSION AND MOVING BOUNDARY: RIGOROUS MODEL ANALYSIS AND ROBUST SIMULATIONS. SIAM Journal on Applied Mathematics. S515-S537. Philadelphia,Philadelphia: the Society for Industrial and Applied Mathematics (SIAM). https://epubs.siam.org/doi/10.1137/22M1506766
Peng, Z., Appelö, D., Liu, S. (2023). Universal AMG Accelerated Embedded Boundary Method Without Small Cell Stiffness. Other. 97(40), 1-29. New York City, New York: Springer New York. https://link.springer.com/article/10.1007/s10915-023-02353-9#citeas
Liu, S., Liu, X. (2023). Exponential Time Differencing Method for a Reaction‑ Diffusion System with Free Boundary. Other. New York City, New York: Springer Link.
Liu, S., Zhang, Z., Cheng, H., Cheng, L., Li, B. (2022). Explicit-Solute Implicit-Solvent Molecular Simulation with Binary Level-Set, Adaptive-Mobility, and GPU.. Journal of Computational Physics. 472(111673), 1-19. Amsterdam: Elsevier. https://pdf.sciencedirectassets.com/272570/1-s2.0-S0021999122X00223/1-s2.0-S0021999122007367/main.pdf?X-Amz-Security-Token=IQoJb3JpZ2luX2VjEE8aCXVzLWVhc3QtMSJHMEUCIQDpCgzoABUF5s%2B0YGhI6ZcPfNFW3C5m5xJ8gjTtLxi6GgIgNovph7IngZK3OasMHtxNU20OcDPZzjz%2FICo6ERfZt%2BAqswUIGBAFGgwwNTkwMDM1NDY4NjUiDHiSJqohP%2BHnqW9vGyqQBVYWl4YQfrZDIOcuffzUWp4%2FsDbcMuPOdcMfENougvayHgV3XpGPJRmJWiT1iyKz8s1xGdtpxLI4SmFEizYezIoemPr7WFyqCEEyWjqcIW0r8R9sbRBh5ggo7dsahfyuntgGWXTQwjzAGE3wUYSCY%2BJnQL6Mnu4wvnYc4V3yfOLqehl8KAUu65uFTm4arefPnX%2B%2FhtZtvfPbcBEBSVXEPOPoJPJWW8SHrRbkeWQYS5EyA1frz%2B6uaLGMBP5YCwbSQWXsu55tZ6z6pu9%2Bg%2BGOamlNWcIaUG866sUiHXsPDr5RCNA%2FtuyA0w87UKkEta%2F66DagxiKjXxNE3y2GCp9AwAEJlZfrtCg97fL4HmS2wOwSL9YNbvxUVP4GEoNSw9WJ5pcg7UKqBrDzfphnkTiMONRcLfLDXZAh1ygPAj46WeDhDhNkJCpNPV9d64DsWpb1ExP6l%2FjoDcvO%2B%2BXfnSfUKCqTeuViOM%2Fe2QG%2FNvPfLbogBq8jdCiur6ypLKR22mIGy70yT5hguL%2BUcHyx%2F8sIqQSU1Fj30oKLr6vylectn3CcDp8G1CIHY%2Fyj0H8rswxqVjsDgHvSGfhQUIdAEWCFplaWruRKvT47knIKmVn8cuTFNFjWQwzoX6xe6%2FO2M%2BhL6ZaHeQQsDGsS%2B%2FQefhbleu4IFQh8s8NOHFKvWCTcik4SvKVFOeSluDiwDoJaOIkcinihe%2Bcpg6lP20i5RASv1Mb0A119YWnnkuU5csvrl71aTKhAs2RpHx4geExOy4sUqdSmy5wWDx8gIVqOsBN5rZR0XLdk9LIl24VsrjWoLyr23t0%2Fzsbq%2FjlfO5V9TYLOv7J5%2FIsGSUltMlEKTTu0Cx4LRlSeVaUs5eIXz%2B6d0GA9MPWb5K0GOrEBuIEFeKqNfZJeE58sJdlei6oynVthh3L3KLMo6WAjkLB2Kle2vbWyNj93htN3NXDPcdin8pIwY9FpjbgBzY%2BCi6ufitypeNY27O83yTmqSjhC5wEc%2Bz5dieySb5eBGmEc%2FuJd1DxK3SP5RQVUKUNt6zGnJvGTgIBdC6Br7hUl08UvP2wgBI7FZE7BGDuLFZTfUjlChehvZuVtTWSdTca4SA73Uv7GvFEYX9PSZpeVg8g6&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Date=20240130T155004Z&X-Amz-SignedHeaders=host&X-Amz-Expires=299&X-Amz-Credential=ASIAQ3PHCVTY6XH2BUOB%2F20240130%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Signature=97ba20034647ee17dfba8722dd368a0fd28592e22d4dd72c0393f6ff623c9b99&hash=8414767adb656cc379b0f9e1962a791f8a95d045a9867390422a7e674ba48348&host=68042c943591013ac2b2430a89b270f6af2c76d8dfd086a07176afe7c76c2c61&pii=S0021999122007367&tid=spdf-31cd840f-d159-4a52-9952-13a5e906d700&sid=f8da9bdc9bb46048265aa999c6e48269292fgxrqa&type=client&tsoh=d3d3LnNjaWVuY2VkaXJlY3QuY29t&ua=0f1559520000060a5752&rr=84dade56bcd43ac4&cc=us
Liu, S., Tang, Q., Tang, X. (2021). A parallel cut-cell algorithm for the free-boundary Grad--Shafranov problem. Other. 43(6), B1198-B1225. SIAM. https://epubs.siam.org/doi/abs/10.1137/20M1385470?journalCode=sjoce3
Khan, K., Liu, S., Schaerf, T. M., Du, Y. (2021). Invasive behaviour under competition via a free boundary model: a numerical approach. Other. 83(23), 1-43. New York City: Springer Verlag. https://link.springer.com/article/10.1007/s00285-021-01641-y
Liu, S., Liu, X. (2020). Krylov implicit integration factor method for a class of stiff reaction-diffusion systems with moving boundaries. 25(1), 141-159. Springfield, MO: Dept. of Mathematics, Southwest Missouri State University. https://www.aimsciences.org/article/doi/10.3934/dcdsb.2019176
Liu, S., Du, Y., Liu, X. (2018). Numerical studies of a class of reaction–diffusion equations with Stefan conditions. 97(5), 959–979. Milton Park, Oxfordshire: Taylor & Francis. https://www.tandfonline.com/doi/full/10.1080/00207160.2019.1599868
Liu, S., Liu, X. (2018). Numerical methods for a two-species competition-diffusion model with free boundaries. Other. 6(5), 72. Basel, Switzerland: MDPI. https://www.mdpi.com/2227-7390/6/5/72
Liu, S., Cheng, T. (2016). A Liouville type theorem for higher order Hardy–Hénon equation in R^n. Journal of Mathematical Analysis and Applications. 444(1), 370-389. Amsterdam, The Netherlands: Elsevier. https://www.sciencedirect.com/science/article/pii/S0022247X16301883

Awarded Grants

Contracts, Grants and Sponsored Research

Liu, S., "Texas Section Project NExT Fellowship," Sponsored by the Mathematical Association of America (MAA), Regional, $600 Funded. (September 1, 2023August 31, 2025).
Grant - Research
Liu, S., "AMS Simons Travel Grant," Sponsored by American Mathematical Society, National, $5000 Funded. (July 1, 2021June 30, 2023).
Sponsored Research
Liu, S., "Research fund of Department of Mathematics at University of California, San Diego," Sponsored by University of California, San Diego, Other, $4000 Funded. (January 1, 2021June 30, 2023).
Summative Rating
Challenge and
Engagement Index
Response Rate

out of 5

out of 7
students responded
  • Overall Summative Rating (median):
    This rating represents the combined responses of students to the four global summative items and is presented to provide an overall index of the class’s quality. Overall summative statements include the following (response options include a Likert scale ranging from 5 = Excellent, 3 = Good, and 1= Very poor):
    • The course as a whole was
    • The course content was
    • The instructor’s contribution to the course was
    • The instructor’s effectiveness in teaching the subject matter was
  • Challenge and Engagement Index:
    This rating combines student responses to several SPOT items relating to how academically challenging students found the course to be and how engaged they were. Challenge and Engagement Index items include the following (response options include a Likert scale ranging from 7 = Much higher, 4 = Average, and 1 = Much lower):
    • Do you expect your grade in this course to be
    • The intellectual challenge presented was
    • The amount of effort you put into this course was
    • The amount of effort to succeed in this course was
    • Your involvement in course (doing assignments, attending classes, etc.) was