隆广庆，二级教授，南宁师范大学党委副书记、校长，博士生导师
学者网个人网页:https://www.scholat.com/longguangqing
【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（项目号：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）。
主要合作者和代表作
【发表论文】（标注：中国数学会 数学领域高质量科技期刊分级目录（2024年））
一、界面问题高精度数值算法:S.Zhao（教授，美国阿拉巴马大学），C.Li（教授，美国西切斯特大学），H. Yang（在读博士，湘潭大学），Y. Ren（在读博士，美国阿拉巴马大学）；
1.MR5029198-Ren,Yiming; Li,Chuan;Long, Guangqing; Zhao, Shan*; A fourth-order Cartesian grid method for elliptic problems with sharp-edged interfaces,J. Comput. Phys.554(2026), Paper No. 114746. （跨学科应用数学类 T1 期刊）
2.MR4964415-Yang, Huanfeng;Long, Guangqing*; Ren, Yiming; Zhao, Shan; An Augmented Fourth Order Domain-Decomposed Method with FFT-Poisson Solver for Parabolic Interface Problems,J. Sci. Comput.105 (2025), no. 2, Paper No. 40. （应用数学类 T2 期刊）
3.MR4850527- Yang, Huanfeng;Long, Guangqing*; Ren, Yiming; Zhao, Shan; An augmented fourth order domain-decomposed method with fast algebraic solvers for three-dimensional Helmholtz interface problems,J. Comput. Phys.524 (2025), Paper No. 113742.（跨学科应用数学类 T1 期刊）
4.MR4751575- Yang, Huanfeng; Zhao, Shan;Long, Guangqing*; A MAC grid based FFT-AMIB solver for incompressible Stokes flows with interfaces and singular forces,J. Comput. Appl. Math.450 (2024), Paper No. 116019, 21 pp. （应用数学类 T3 期刊）
5.MR4566204- Li, Chuan; Ren, Yiming;Long, Guangqing;Boerman, Eric; Zhao, Shan*; A fast sine transform accelerated high-order finite difference method for parabolic problems over irregular domains,J. Sci. Comput.95 (2023), no. 2, Paper No. 49, 38 pp. （应用数学类 T2 期刊）
6.MR4194461-Feng, Hongsong;Long, Guangqing; Zhao, Shan*; FFT-based high order central difference schemes for Poisson's equation with staggered boundaries,J. Sci. Comput.86 (2021), no. 1, Paper No. 7, 25 pp. （应用数学类 T2 期刊）
二、奇异摄动问题数值解法:L.Liu（教授，南宁师范大学），X.Luo（教授，贵州大学），Y.Liao（在读博士，贵州大学）；
1.MR4953011- Liao, Yige; Liu, Li-Bin*; Luo, Xianbing;Long, Guangqing；A Crank–Nicolson ultra-weak discontinuous Galerkin method for solving a unsteady singularly perturbed problem with a shift in space，Appl. Math. Lett.172 (2026), Paper No. 109736. （应用数学类T3期刊）
2.MR4925462-Liao, Yige; Liu, Li-Bin*; Luo, Xianbing;Long, Guangqing; Three direct discontinuous Galerkin methods on a Bakhvalov-type mesh for a singularly perturbed reaction-diffusion problem,ZAMM Z. Angew. Math. Mech.105 (2025), no. 6, Paper No. e70129. （应用数学类T2期刊）
3.MR4902527- Liu, Libin*; Liao, Yige;Long, Guangqing；A parameter-uniform numerical method for a singularly perturbed Volterra integro-differential equation，Acta Math. Sci. Ser. A (Chinese Ed.)45 (2025), no. 2, 576–583. （数学类T3期刊）
4.MR4799261- Xu, Lei; Liu, Li-Bin*; Huang, Zaitang;Long, Guangqing; 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.（应用数学类 T2 期刊）
5.MR4279170-Long, Guangqing; Liu, Li-Bin*; Huang, Zaitang; Richardson extrapolation method on an adaptive grid for singularly perturbed Volterra integro-differential equations,Numer. Funct. Anal. Optim.42 (2021), no. 7, 739–757.
三、积分微分方程及其特征值问题数值解：L.Liu（教授，南宁师范大学），H.Chen（教授，中南林大），H. Yang （在读博士，湘潭大学），R. Jie（硕士，南宁师范大学）
1.MR4878687-Long, Guangqing*; Yang, Huanfeng; Liu, Li-Bin; A Fast wavelet collocation method with compression techniques for Steklov eigenvalue problems of Helmholtz equations,Appl. Math. Lett.166 (2025), Paper No. 109532. （应用数学类T3期刊）
2.MR4871507- Yang, Huanfeng; Chen, Hongbin*; Yue, Xiaoqing,Long, Guangqing; High-order fractional central difference method for multi-dimensional integral fractional Laplacian and its applications,Commun. Nonlinear Sci. Numer. Simul.145 (2025), Paper No. 108711.（跨学科应用数学类 T3 期刊）
3.MR4705022-Long, Guangqing*; Yang, Huanfeng; Cheng, Dongsheng; Fast multi-level iteration schemes with compression technique for eigen-problems of compact integral operators,Appl. Numer. Math.198 (2024), 448–460. （应用数学类 T2 期刊）
4.MR4322699-Long, Guangqing*; Jie, Rong; Liu, Li-bin; Multilevel augmentation methods for eigen-problems of compact integral operators,Numer. Algorithms88 (2021), no. 3, 1523–1540. （应用数学类 T2 期刊）
【2021-2026 发表的文章列表】
【2026】
1.MR5029198 -Ren,Yiming; Li,Chuan;Long, Guangqing; Zhao, Shan*; A fourth-order Cartesian grid method for elliptic problems with sharp-edged interfaces, J. Comput. Phys. 554(2026), Paper No. 114746. （跨学科应用数学类 T1 期刊）
2.MR4953011 -Liao, Yige; Liu, Li-Bin; Luo, Xianbing;Long, Guangqing；A Crank–Nicolson ultra-weak discontinuous Galerkin method for solving a unsteady singularly perturbed problem with a shift in space，Appl. Math. Lett. 172 (2026), Paper No. 109736.（应用数学类T3期刊）
【2025】
1.MR4964415-Yang, Huanfeng;Long, Guangqing*; Ren, Yiming; Zhao, Shan; An Augmented Fourth Order Domain-Decomposed Method with FFT-Poisson Solver for Parabolic Interface Problems,J. Sci. Comput.105 (2025), no. 2, Paper No. 40.（应用数学类 T2 期刊）
2.MR4925462 -Liao, Yige; Liu, Li-Bin; Luo, Xianbing;Long, Guangqing; Three direct discontinuous Galerkin methods on a Bakhvalov-type mesh for a singularly perturbed reaction-diffusion problem,ZAMM Z. Angew. Math. Mech. 105 (2025), no. 6, Paper No. e70129. （应用数学类T2期刊）
3.MR4902527 -Liu, Libin; Liao, Yige;Long, Guangqing；A parameter-uniform numerical method for a singularly perturbed Volterra integro-differential equation，Acta Math. Sci. Ser. A(Chinese Ed.) 45 (2025), no. 2, 576–583.（数学类T3期刊）
4.MR4878687- Long, Guangqing*; Yang, Huanfeng; Liu, Li-Bin; A Fast wavelet collocation method with compression techniques for Steklov eigenvalue problems of Helmholtz equations,Appl. Math. Lett.166 (2025), Paper No. 109532. （应用数学类T3期刊）
5.MR4871507-Yang, Huanfeng; Chen, Hongbin; Yue, Xiaoqing,Long, Guangqing; High-order fractional central difference method for multi-dimensional integral fractional Laplacian and its applications,Commun. Nonlinear Sci. Numer. Simul. 145 (2025), Paper No. 108711.（跨学科应用数学类 T3 期刊）
6.MR4850527- Yang, Huanfeng;Long, Guangqing*; Ren, Yiming; Zhao, Shan; An augmented fourth order domain-decomposed method with fast algebraic solvers for three-dimensional Helmholtz interface problems,J. Comput. Phys.524 (2025), Paper No. 113742.（跨学科应用数学类 T1 期刊）
7.MR4799261- Xu, Lei; Liu, Li-Bin; Huang, Zaitang;Long, Guangqing;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.（应用数学类 T2 期刊）
【2024】
1. -Ren, Yiming, Li, Chuan,Long, Guangqingand Zhao, Shan; 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).
2.MR4705022-Long, Guangqing*; Yang, Huanfeng; Cheng, Dongsheng; Fast multi-level iteration schemes with compression technique for eigen-problems of compact integral operators,Appl. Numer. Math.198 (2024), 448–460. （应用数学类 T2 期刊）
3.MR4751575- Yang, Huanfeng; Zhao, Shan;Long, Guangqing*; A MAC grid based FFT-AMIB solver for incompressible Stokes flows with interfaces and singular forces,J. Comput. Appl. Math.450 (2024), Paper No. 116019, 21 pp. （应用数学类 T3 期刊）
【2023】
1.MR4622952-Liu, Li-Bin; Liao, Yige;Long, Guangqing; Error estimate of BDF2 scheme on a Bakhvalov-type mesh for a singularly perturbed Volterra integro-differential equation,Netw. Heterog. Media18 (2023), no. 2, 547–561. （跨学科应用数学类 T3 期刊）
2.MR4566204- Li, Chuan; Ren, Yiming;Long, Guangqing; Boerman, Eric; Zhao, Shan; A fast sine transform accelerated high-order finite difference method for parabolic problems over irregular domains,J. Sci. Comput.95 (2023), no. 2, Paper No. 49, 38 pp. （应用数学类 T2 期刊）
3.MR4562159-Liao, Yige; Liu, Li-Bin; Xu, Lei;Long, Guangqing; Richardson extrapolation method for 2D-SPP on VB mesh singularly perturbed convection-diffusion problem on a Vulanović-Bakhvalov mesh,Comput. Appl. Math.42 (2023), no. 3, Paper No. 117, 20 pp.（应用数学类 T3 期刊）
4.MR4522825-Liu, Li-Bin; Liao, Yige;Long, Guangqing; A novel parameter-uniform numerical method for a singularly perturbed Volterra integro-differential equation,Comput. Appl. Math.42 (2023), no. 1, Paper No. 12, 12 pp.（应用数学类 T3 期刊）
【2022】
1.MR4470532- Li, Yangrong; Yang, Shuang;Long, Guangqing；Continuity of random attractors on a topological space and fractional delayed FitzHugh-Nagumo equations with WZ-noise，Discrete Contin. Dyn. Syst. Ser. B27 (2022), no. 10, 5977–6008.（数学类 T2 期刊）
2.MR4382293-Liu, Li-Bin; Zhu, Ciwen;Long, Guangqing; Numerical analysis of a system of semilinear singularly perturbed first-order differential equations on an adaptive grid,Math. Methods Appl. Sci.45 (2022), no. 4, 2042–2057.（应用数学类 T3 期刊）
3. Zhu, xiaoling; Cheng, Dongsheng;Long, Guangqing; 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.
【2021】
1. Li, Chuan;Long,Guangqing; Y. Li and Zhao, Shan; Alternating direction implicit (adi) methods for solving two-dimensional parabolic interface problems with variable coefficients, COMPUTATION, 9 (2021), 79.
2.MR4194461-Feng, Hongsong;Long, Guangqing; Zhao, Shan; FFT-based high order central difference schemes for Poisson's equation with staggered boundaries,J. Sci. Comput.86 (2021), no. 1, Paper No. 7, 25 pp. （应用数学类 T2 期刊）
3.MR4322699-Long, Guangqing*; Jie, Rong; Liu, Li-bin; Multilevel augmentation methods for eigen-problems of compact integral operators, Numer. Algorithms88 (2021), no. 3, 1523–1540. （应用数学类 T2 期刊）
4.MR4279170-Long, Guangqing; Liu, Li-Bin; Huang, Zaitang; Richardson extrapolation method on an adaptive grid for singularly perturbed Volterra integro-differential equations,Numer. Funct. Anal. Optim.42 (2021), no. 7, 739–757.
