Research Interests: Numerical methods for partial differential equations; numerical computation in fluid mechanics and phase-field models

Born in October 1994, male, Han ethnicity, native of Xingtai, Hebei. PhD in Science, reviewer for Mathematical Reviews (USA). He has published 8 papers in important international SCI journals including Journal of Scientific Computing, Journal of Computational and Applied Mathematics, Computers and Mathematics with Applications, Applied Mathematics Letters, Communications in Nonlinear Science and Numerical Simulation, and Applied Numerical Mathematics.

Education:

(1) 2013-09 to 2017-06, Inner Mongolia University, Mathematics and Applied Mathematics (Mathematics and Physics Base Class), Bachelor of Science

(2) 2017-09 to 2022-12, Xi'an Jiaotong University, Mathematics, PhD in Science, supervisor: Professor Yanren Hou

Work Experience:

(1) 2023-02 to present, Hebei Normal University, School of Mathematical Sciences, Lecturer

(2) 2018-03 to 2022-06, Xi'an Jiaotong University, School of Mathematics and Statistics, Teaching Assistant

Teaching:

Lecturer for Advanced Mathematics

Research Projects Led and Participated In:

(1) National Natural Science Foundation of China, General Program, 11971378, Research on time-stepping parallel algorithms based on two-grid and superposition principle for the non-stationary Navier-Stokes equations, 2020-01-01 to 2023-12-31, participant

(2) Hebei Normal University Research Foundation Committee, Doctoral (Postdoctoral) Research Startup Fund, L2024B04, Efficient numerical methods for two-phase flow in coupled free-flow and porous-media-flow models, 2024-01-01 to 2026-12-31, principal investigator

Representative Papers (in reverse chronological order)

8. Longzhao Qi, Numerical analysis of a second-order energy-stable finite element method for the Swift-Hohenberg equation. Applied Numerical Mathematics, 2024, 197:119-142.

7. Longzhao Qi, Yanren Hou, Error analysis of a linear unconditionally energy-stable Leapfrog scheme for the Swift-Hohenberg equation. Communications in Nonlinear Science and Numerical Simulation, 2023, 120:107185.

6. Longzhao Qi, Yanren Hou, An energy-stable second-order finite element method for the Swift-Hohenberg equation. Computational and Applied Mathematics, 2023, 42:5.

5. Longzhao Qi, Yanren Hou, Error estimates for the Scalar Auxiliary Variable (SAV) schemes to the modified phase field crystal equation. Journal of Computational and Applied Mathematics, 2023, 417:114579.

4. Longzhao Qi, Yanren Hou, Error analysis of first- and second-order linear, unconditionally energy-stable schemes for the Swift-Hohenberg equation. Computers and Mathematics with Applications, 2022, 127:192-212.

3. Longzhao Qi, Yanren Hou, An unconditionally energy-stable linear Crank-Nicolson scheme for the Swift-Hohenberg equation. Applied Numerical Mathematics, 2022, 181:46-58.

2. Longzhao Qi, Yanren Hou, Error estimate of a stabilized second-order linear predictor-corrector scheme for the Swift-Hohenberg equation. Applied Mathematics Letters, 2021, 127:107836.

1. Longzhao Qi, Yanren Hou, A Second Order Energy Stable BDF Numerical Scheme for the Swift-Hohenberg Equation. Journal of Scientific Computing, 2021, 88:74.

Awards and Honors

1. Awarded "Outstanding Teaching Assistant" of Xi'an Jiaotong University for the 2017-2018 academic year;

2. Awarded "Outstanding Teaching Assistant" of Xi'an Jiaotong University for the 2019-2020 academic year;

3. Awarded "Outstanding Graduate Student" of Xi'an Jiaotong University for the 2020-2021 academic year;

4. Awarded the "National Scholarship" of Xi'an Jiaotong University in 2022;

Academic Service:

From February 2023 to present, serving as a reviewer for Mathematical Reviews (USA)

Serving as a reviewer for the following journals:

Engineering Analysis with Boundary Elements

Computers and Mathematics with Applications

Numerical Algorithms