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隆廣慶

教授/Professor of Mathematics

南寧師范大學 校長辦公室

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學術   ACADEMIC

個人簡介

隆廣慶,二級教授,南寧師范大學黨委副書記、校長、博士生導師

【研究興趣】

積分微分方程數(shù)值算法;特征值問題數(shù)值解法;

奇異攝動問題數(shù)值解法;界面問題高精度數(shù)值算法;

【教育經歷】

1、2007.06-2009.07,中國科學院數(shù)學所博士后流動站工作。導師:許躍生;

2、2003.09-2006.06,中山大學計算數(shù)學專業(yè),獲理學博士學位。導師:陳仲英、許躍生;

3、2000.09-2003.06,中山大學計算數(shù)學專業(yè),獲理學碩士學位。導師:陳仲英、許躍生;

4、1993.09-1997.06, 蘭州大學計算數(shù)學專業(yè),獲理學學士學位;

【行政經歷】

1、2012.06-2015.06,廣西師范學院數(shù)學科學學院副院長;

2、2015.06-2018.12,廣西師范學院數(shù)學與統(tǒng)計科學學院院長;

3、2018.12-2021.04,南寧師范大學數(shù)學與統(tǒng)計學院院長;

4、2020.07-2021.04,南寧師范大學數(shù)學與統(tǒng)計學院黨委書記;

5、2021.01-2021.04,南寧師范大學校長助理;

6、2021.04-2023.12,南寧師范大學黨委常委、副校長;

7、2023.11-2025.01,南寧師范大學黨委副書記;

8、2025.01- 至     今,南寧師范大學黨委副書記、校長;

【榮譽】

2016年廣西高校優(yōu)秀共產黨員;2014年獲廣西高校 “卓越學者”;2013年獲廣西科技進步三等獎;2012年入選廣西財政出國留學資助計劃;2010年入選廣西高校優(yōu)秀人才資助計劃;

【國家項目】

主持國家自然科學基金項目3項(項目號:12261062、11461011、11061008);

主要參與國家自然科學基金項目2項(項目號:11826211、11761015);

主持和參與廣西科技計劃項目2項(項目號:桂科2022AC06003、桂科AD20238065);

主持和參與廣西自然科學基金重點項目2項(項目號:2018GXNSFDA050014,2017GXNSFDA198014);

【教學成果】

先后獲廣西職業(yè)教育自治區(qū)級教學成果一等獎1項(2023年);廣西高等教育(研究生)自治區(qū)級教學成果二等獎1項(2023年);廣西高等教育(本科)自治區(qū)級教學成果二等獎1項(2023年);廣西高等教育自治區(qū)級教學成果二等獎1項(2021年)。

主要合作者和代表作

發(fā)表論文】(標注:中國數(shù)學會 數(shù)學領域高質量科技期刊分級目錄(2024年)

一、界面問題高精度數(shù)值算法: S.Zhao(教授,美國阿拉巴馬大學),C.Li(教授,美國西切斯特大學),H. Yang (在讀博士,湘潭大學),Y. Ren(在讀博士,美國阿拉巴馬大學);

1. MR5075575 -Ren, Yiming; Li, Chuan; Long, Guangqing; Zhao, Shan;A Multigrid-Based High Order Finite Difference Method for Parabolic Interface Problems with Variable Coefficients, ICIAM2023 Springer Ser., 11,Springer, Singapore, 2026, 191–223. ISBN: 978-981-95-6106-3; 978-981-95-6107-0. 

2. 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. (跨學科應用數(shù)學類 T1 期刊)

3. 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. (應用數(shù)學類 T2 期刊)

4. 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.(跨學科應用數(shù)學類 T1 期刊)

5. 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. (應用數(shù)學類 T3 期刊)

6. 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.  (應用數(shù)學類 T2 期刊)

7. 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. (應用數(shù)學類 T2 期刊)

二、奇異攝動問題數(shù)值解法: L.Liu(教授,南寧師范大學),X.Luo(教授,貴州大學),Y.Liao(在讀博士,貴州大學);

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. (應用數(shù)學類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. (應用數(shù)學類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. (數(shù)學類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.(應用數(shù)學類 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、積分微分方程及其特征值問題數(shù)值解:L.Liu(教授,南寧師范大學),H.Chen(教授,中南林大),H. Yang (在讀博士,湘潭大學),R. Jie(碩士,南寧師范大學)

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. (應用數(shù)學類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.(跨學科應用數(shù)學類 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. (應用數(shù)學類 T2 期刊)

4. MR4322699-Long, Guangqing*; Jie, Rong; Liu, Li-bin; Multilevel augmentation methods for eigen-problems of compact integral operators, Numer. Algorithms 88 (2021), no. 3, 1523–1540. (應用數(shù)學類 T2 期刊)

【2021-2026 發(fā)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. (跨學科應用數(shù)學類 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. (應用數(shù)學類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. (應用數(shù)學類 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. (應用數(shù)學類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. (數(shù)學類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. (應用數(shù)學類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.(跨學科應用數(shù)學類 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.(跨學科應用數(shù)學類 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.(應用數(shù)學類 T2 期刊

【2024】

1.  -Ren, Yiming, Li, Chuan, Long, Guangqing and 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. (應用數(shù)學類 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. (應用數(shù)學類 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. Media 18 (2023), no. 2, 547–561. (跨學科應用數(shù)學類 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.  (應用數(shù)學類 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 Vulanovi?-Bakhvalov mesh,  Comput. Appl. Math. 42 (2023), no. 3, Paper No. 117, 20 pp.(應用數(shù)學類 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.(應用數(shù)學類 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. B 27 (2022), no. 10, 5977–6008. (數(shù)學類 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. (應用數(shù)學類 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. (應用數(shù)學類 T2 期刊

3. MR4322699-Long, Guangqing*; Jie, Rong; Liu, Li-bin; Multilevel augmentation methods for eigen-problems of compact integral operators, Numer. Algorithms 88 (2021), no. 3, 1523–1540. (應用數(shù)學類 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.

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