主持科研项目情况(按起始时间排序)
1. 国家自然科学基金委员会,数学天元青年基金项目,11126287,基于移动网格的局部间断Galerkin
有限元方法研究,2012.01-2012.12,3万元,已结题,主持
2. 国家自然科学基金委员会,青年科学基金项目,11201242,Runge-Kutta间断Galerkin方法的各项异性自适应方法及其应用,2013.01-2015.12,22万元,已结题,主持
3. 江苏省教育厅,高等学校自然科学研究面上项目,17KJB110013,求解高阶偏微分方程的h自适应LDG方法,2017.09-2019.08,3万元,已结题,主持
4. 厦门大学,横向项目,探测器方法组件库,2020.12-2022.12,15万元,已结题,主持
5. 芯行纪科技有限公司,横向项目,基于有限元法求解互连线电容,2022.11-2023.11,75万元,已结题,主持
参加科研项目情况(按起始时间排序)
1. 江苏省科技厅,自然科学基金青年基金项目,BK20130860,时间分数阶偏微分方程的高精度差分算法设计及理论分析,2013.07-2016.06,20万元,已结题,参加
2. 国家自然科学基金委员会,数学天元青年基金项目,11426137,基于对偶两步模型的图像放大问题,2015.01-2015.12,3万元,已结题,参加
3. 国家自然科学基金委员会,青年科学基金项目,11401319,数值求解分数阶偏微分方程的高精度快速算法研究,2015.01-2017.12,22万元,已结题,参加
4. 国家自然科学基金委员会,面上项目,11871443,不确定性下的三维气体爆炸波的数值方法研究,2019.01-2022.12,50万元,已结题,参加
5. 江苏省科技厅,自然科学基金面上项目,BK20191375,求解四阶时间多项分数阶扩散波方程的差分算法研究,2019.07-2022.06,10万元,已结题,参加
6. 国家自然科学基金委员会,面上项目,12371435,基于深度神经网络的新型变分同化方法研究,2024.01-2027.12,43.5万元,在研,参加
Hongqiang Zhu, Jianxian Qiu*. Adaptive
Runge-Kutta discontinuous Galerkin methods using different indicators:
One-dimensional case. Journal of Computational Physics, 228: 6957-6976, 2009.
Hongqiang Zhu, Jianxian Qiu*. An
h-adaptive RKDG method with troubled-cell indicator for two-dimensional
hyperbolic conservation laws. Advances in Computational Mathematics, 39: 445-463,
2013.
Hongqiang Zhu, Jianxian Qiu, Jing-Mei
Qiu*. An h-adaptive RKDG method for the Vlasov-Poisson system. Journal of Scientific
Computing, 69: 1346-1365, 2016.
Hongqiang Zhu, Jianxian Qiu, Jing-Mei
Qiu*. An h-adaptive RKDG method for the two-dimensional incompressible Euler
equations and the guiding center Vlasov model. Journal of Scientific
Computing, 73: 1316-1337, 2017.
Hongqiang Zhu, Jianxian Qiu, Jun Zhu*. A
simple, high-order and compact WENO limiter for RKDG method. Computers &
Mathematics with Applications, 79: 317-336, 2020.
Hongqiang Zhu, Haiyun Wang, Zhen Gao*. A new troubled-cell indicator
for discontinuous Galerkin methods using K-means clustering. SIAM Journal on
Scientific Computing, 43: A3009-A3031, 2021.
Hongqiang Zhu, Zhihuan Wang, Haiyun Wang, Qiang Zhang, Zhen Gao*. Troubled-cell
indication using K-means clustering with unified parameters. Journal of Scientific
Computing, 93: 21, 2022.
Zhihuan
Wang, Zhen Gao, Haiyun Wang, Qiang Zhang, Hongqiang Zhu*. Three
indication variables and their performance for the troubled-cell indicator
using K-means clustering. Advances in Applied Mathematics and Mechanics, 15: 522-544, 2023.
Haiyun
Wang, Zhen Gao, Haijin Wang, Qiang Zhang, Hongqiang Zhu*. Troubled-cell
indicators using K-means clustering for RKDG methods on triangular meshes and
h-adaptive rectangular meshes. Advances in Applied Mathematics and Mechanics, 17: 1014-1036, 2025.
Hongqiang Zhu, Liang Sun, Fangfang Qin, Yanping Chen*. A capacitance extraction
method using local discontinuous Galerkin method on adaptive triangular meshes.
IEEE Transactions on Electron Devices, 72: 3796-3804, 2025.