计算数学教研室-姚彦忠
所在单位：北京应用物理与计算数学研究所
导师职称：研究员
电子邮箱：yao_yanzhong@iapcm.ac.cn
招生专业：计算数学
研究方向：辐射流体力学数值方法， 偏微分方程深度学习方法
姚彦忠，北京应用物理与计算数学研究所，全国计算物理实验室，研究员，博士生导师。
主要从事辐射流体力学数值方法研究及程序研制工作。在流体网格优化、辐射输运问题快速迭代格式以及扩散方程保正算法等方面开展了深入研究，提出了系列具有创新性的计算方法，部分成果在应用程序中实施，取得良好的实际效果；近期开始开展基于物理神经网络的偏微分方程深度学习方法的研究工作。主持过国家自然科学基金、重点实验室基金、中物院创新发展基金等多项科研课题；曾获军队科技进步一等奖一项、二等奖一项，中物院基础创新奖一等奖一项；2022年度“邓稼先研究生创新奖优秀指导教师”称号。
主要论著：
1.Y. Yao, J. Guo, T. Gu, A deep learning method for multi-material diffusion problems based on physics-informed neural networks, Comput. Methods Appl. Mech. Engrg. 417 (2023) 116395.
2.J. Guo, Y. Yao*, H. Wang, T. Gu, Pre-training strategy for solving evolution equations based onphysics-informed neural networks, J. Comput. Phys. 489 (2023) 112258.
3.Y. Yu, X. Chen, and Y. Yao*, Iteration acceleration methods for solving three-temperature heat conduction equations on distorted meshes, Numer. Methods Partial Differ. Eq. (2023), e23085.
4.Shuai Miao, Jiming Wu, Yanzhong Yao, An interpolation-free cell-centered discretization of the heterogeneous and anisotropic diffusion problems on polygonal meshes, Comput. Math. Appl. 130 (2023), 105-118.
5.Yanzhong Yao, Shuai Miao, Guixia Lv, An efficient iterative method for radiation heat conduction problems, Int. J. Numer. Methods Fluids, 93:7(2021), 2362-2379.
6.Shuai Miao, Yanzhong Yao*, Guixia Lv, An efficient parallel iteration algorithm for nonlinear diffusion equations with time extrapolation techniques and the Jacobi explicit scheme, J. Comput. Phys., 441(2021), 110435.
7.Yanzhong Yao, Guangwei Yuan, Enforcing positivity with conservation for Nine-Point scheme of nonlinear diffusion equations, Comput. Meth. Appl. Mech. Engrg., 223-224(2012), 161-172 .
8.Guangwei Yuan, Yanzhong Yao*, Li Yin, Conservative domain decomposition procedure for nonlinear diffusion problems on arbitrary quadrilateral grids, SIAM J. Sci. Comput., 33:3(2011), 1352-1368.
9.Yuan Guangwei, Yao Yanzhong*, Parallelization methods for solving three-temperature radiation-hydrodynamic problems, Discrete and Continuous Dynamical Systems Series B, 21:5 (2016), 1651-1669.
10.Yu Yunlong, Yao Yanzhong, Yuan Guangwei, Chen Xingding, A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes, Communications in Computational Physics, 20:5(2016),1405-1423.
11.Cao Fujun, Yao Yanzhong, Yu Yunlong, Yuanguangwei, A conservative enforcing positivity -preserving algorithm for diffusion scheme on general meshes, Int. J. Numer. Anal. & Model., 13:5(2016), 739-752.
12.Li. Yin, Jiming Wu, Yanzhong Yao, A cell functional minimization scheme for domain decomposition method on non-orthogonal and non-matching meshes, Numer. Math., 128:4(2014), 773-804.
13.Li Yin, Jiming Wu, Yanzhong Yao, A cell functional minimization scheme for parabolic problem, J. Comput. Phys., 229(2010), 8935-8951.
14.袁光伟,盛志强,杭旭登,姚彦忠,常利娜,岳晶岩,扩散方程计算方法,北京：科学出版社, 2015.