隆广庆，教授，南宁师范大学党委副书记、博士生导师

【研究兴趣】

积分微分方程数值算法；特征值问题数值解法；

奇异摄动问题数值解法；界面问题高精度数值算法；

【教育经历】

1、2007.06-2009.07，中国科学院数学所博士后流动站工作。导师：许跃生；

2、2003.09-2006.06，中山大学计算数学专业，获理学博士学位。导师：陈仲英、许跃生；

3、2000.09-2003.06，中山大学计算数学专业，获理学硕士学位。导师：陈仲英、许跃生；

4、1993.09-1997.06，兰州大学计算数学专业，获理学学士学位；

【荣誉】

2016年广西高校优秀共产党员；2014年获广西高校 “卓越学者”；2013年获广西科技进步三等奖；2012年入选广西财政出国留学资助计划；2010年入选广西高校优秀人才资助计划；

【国家项目】

主持国家自然科学基金项目3项（项目号：12261062、11461011、11061008）；

主要参与国家自然科学基金项目2项（项目号：11826211、11761015）；

主持和参与广西科技计划项目2项（项目号：桂科2022AC06003、桂科AD20238065）；

主持和参与广西自然科学基金重点项目2项（2018GXNSFDA050014，2017GXNSFDA198014）；

【教学成果】

先后获广西职业教育自治区级教学成果一等奖1项（2023年）；广西高等教育（研究生）自治区级教学成果二等奖1项（2023年）；广西高等教育（本科）自治区级教学成果二等奖1项（2023年）；广西高等教育自治区级教学成果二等奖1项（2021年）。

【发表论文】

【2025】

1、L.Liu, L.Xu, Z. Huang and G.Long, Supercloseness of the NIPG method on a Bakhvalov-type mesh for a singularly perturbed problem with two small parameters， APPL NUMER MATH 207 (2025), 431-449.

【2024】

1、H. Yang , G. Long* , Y. Ren and S.Zhao,  A FFT accelerated fourth order domain-decomposed method for solving three-dimensional Helmholtz interface problems and its applications, JOURNAL of COMPUTATIONAL PHYSICS  (2024).

2、Y. Ren, C. Li, G. Long and S.Zhao，A multigrid-based high order finite difference method for parabolic interface problems with variable coefficients，Recent advances on two-phase flows, fluid-structure interactions, and interface problems  (ICIAM2023 · ICIAM2023-2 ).  (2024).

3、G.Long*, H. Yang and D. Cheng, Fast multi-level iteration schemes with compression technique for eigen-problems of compact integral operators, APPL NUMER MATH 198 (2024), 448-460.

4、H. Yang, S. Zhao and G. Long*, A MAC grid based FFT-AMIB solver for incompressible stokes flows with interfaces and singular forces, J COMPUT APPL MATH 450 (2024), 116019.

【2023】

1、C. Li, Y. Ren, G. Long, E. Boerman and S. Zhao, A fast sine transform accelerated high-order finite difference method for parabolic problems over irregular domains, J SCI COMPUT 95 (2023), 49.

2、L. Liu, Y. Liao and G. Long, A novel parameter-uniform numerical method for a singularly perturbed volterra integro-differential equation, COMPUT APPL MATH (2023).

3、L. Liu, Y. Liao and G. Long, Error estimate of bdf2 scheme on a bakhvalov-type mesh for a singularly perturbed volterra integro-differential equation, NETW HETEROG MEDIA 18 (2023), 547-561.

4、Y. Liao, L. B. Liu, L. Xu and G. Long, Richardson extrapolation method for 2d-spp on vb mesh singularly perturbed convection–diffusion problem on a vulanović–bakhvalov mesh, COMPUTAIONAL AND APPLIED MATHMATICS 42 (2023), no. 3, 1-20.

【2021-2022】

1、Y. Li, S. Yang and G. Long, Continuity of random attractors on a topological space and fractional delayed fitzhugh-nagumo equations with wz-noise, Discrete & Continuous Dynamical Systems - B 27 (2022), no. 10, 5977-6008.

2、L. B. Liu, C. Zhu and G. Long, Numerical analysis of a system of semilinear singularly perturbed first-order differential equations on an adaptive grid, MATH METHOD APPL SCI 45 (2022), no. 4, 2042-2057.

3、X. Zhu, D. Cheng and G. Long, Matched interface and boundary method for the helmholtz equation with a discretization by 4th-order 17-point fd scheme, JOURNAL of PHYSICS: Conference Series 2219 (2022), 12020.

4、C. Li, G. Long, Y. Li and S. Zhao, Alternating direction implicit (adi) methods for solving two-dimensional parabolic interface problems with variable coefficients, COMPUTATION, 9 (2021), 79.

5、H. Feng, G. Long and S. Zhao, Fft-based high order central difference schemes for poisson's equation with staggered boundaries, J SCI COMPUT 86 (2021), no. 1, 1-25.

6、G. Long, R. Jie and L. B. Liu, Multilevel augmentation methods for eigen-problems of compact integral operators, NUMER ALGORITHMS 88 (2021), 1523-1540.

7、G. Long, L. B. Liu and Z. Huang, Richardson extrapolation method on an adaptive grid for singularly perturbed volterra integro-differential equations, NUMER FUNC ANAL OPT 42 (2021), no. 7, 739-757.