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
