陈明华,福建宁德人,兰州大学教授、博士生导师。2015年兰州大学与美国哥伦比亚大学联合培养博士毕业,师从邓伟华教授、伍渝江教授、杜强教授(SIAM Fellow)。入选甘肃省杰出青年科学基金项目,获甘肃省“陇原青年英才”称号。先后主持国家自然科学基金面上项目、青年基金项目、湖南省重点实验室开放课题等,获教育部自然科学二等奖、中国数学会计算数学分会“优秀青年论文二等奖”。聚焦扩散与反常扩散模型的分析及计算,在SINUM, SISC, SIMAX, IMAJNA等计算数学权威期刊发表高质量论文40余篇,主要贡献包括:1.攻克近40年经典难题,建立热传导方程BDF6格式的稳定性理论;突破传统认知,构建稳定的加权和位移BDF7格式。2.针对奇异源项模型导致的低阶收敛问题,提出积分-微分光滑化技术,恢复BDFk算法的高阶精度。3.对几类复杂代数系统,引入新的椭圆正则性条件,拓展多重网格法理论框架。现任中国数学会计算数学分会理事、fractal and fractional (SCI杂志)客座编辑、中国理论数学前言杂志编委、中国仿真学会仿真算法专业委员会委员。
主讲本科生《数值分析》、《偏微分方程数值解》、《高等数学》、《线性代数》、《概率统计》及研究生全英文课程《现代计算方法》等教学工作。《数值分析》课程荣获国家级一流本科课程(4/5),指导毕业博士生4名。
专著: 陈明华; Shi Jiankang; Yu Fan, Diffusion and Anomalous Diffusion Problems:An Introduction to Their Analysis and Numerical Solution, Springer, Accept 代表性论文: 一、扩散模型的分析与计算 [1]陈明华; Shi Jiankang; Yu Fan; Zhou Zhi, Correction of weighted and shifted seven-step BDF for parabolic equations with nonsmooth data, IMA Journal of Numerical Analysis, doi:10.1093/imanum/draf125 [2]Akrivis Georgios; 陈明华; Yu Fan, The weighted and shifted seven-step BDF method for parabolic equations, IMA Journal of Numerical Analysis, (2025) 3207-3234 [3]Akrivis Georgios; 陈明华; Yu Fan; Zhou Zhi, The energy technique for the six-step BDF method, SIAM Journal on Numerical Analysis, (2021) 2449-2472 [4]Yu Fan; 陈明华, Third-order convergence of three-Step BDF method for Navier-Stokes equations with H^1 initial data, Journal of Scientific Computing, (2025) 103:26 [5]陈明华; Yu Fan; Zhang Qingdong; Zhang Zhimin, Variable step-size BDF3 method for Allen-Cahn equation, Journal of Computational Mathematics, (2024) 1380-1406 二、反常扩散模型的分析与计算 [1]Shi Jiankang; 陈明华, High-order BDF convolution quadrature for subdiffusion models with a singular source term, SIAM Journal on Numerical Analysis, (2023) 2559-2579 [2]陈明华; Qi Wenya; Shi Jiankang; Wu Jiming, A sharp error estimate of piecewise polynomial collocation for nonlocal problems with weakly singular kernels, IMA Journal of Numerical Analysis, (2021) 3145-3174 [3]陈明华; Deng Weihua, High order algorithms for the fractional substantial diffusion with truncated Lévy flights, SIAM Journal of on Scientific computing, (2015) A890-A917 [4]陈明华; Deng Weihua, Fourth order accurate scheme for the space fractional diffusion equations, SIAM Journal on Numerical Analysis, (2014) 1418-1438 [5]陈明华; Deng Weihua, Discretized fractional substantial calculus, ESAIM: Mathematical Modelling and Numerical Analysis, (2015) 373-394 [6] 陈明华; Deng Weihua; Min Chao; Shi Jiankang; Stynes Martin, Error analysis of a collocation method on graded meshes for a fractional Laplacian problem, Advances in Computational Mathematics, (2024) 50:49 [7]陈明华; Min Chao; Shi Jiankang; Wang Jizeng, Error analysis of a collocation method on graded meshes for nonlocal diffusion problems with weakly singular kernels, Journal of Scientific Computing, (2024) 101:84 [8]Cao Rongjun; 陈明华; Qi Yingfan; Shi Jiankang; Yin Xiaobo, Analysis of (shifted) piecewise quadratic polynomial collocation for nonlocal diffusion model, Applied Numerical Mathematics, (2023) 120-140 [9]Cao Rongjun; 陈明华; Ng Michael K.; Wu Yu-Jiang, Fast and high-order accuracy numerical methods for time-dependent nonlocal problems in R^2, Journal of Scientific Computing, (2020) Paper No. 8 [10]陈明华; Jiang Suzhen; Bu Weiping, Two L1 schemes on graded meshes for fractional Feynman-Kac equation, Journal of Scientific Computing, (2021) Paper No. 58 三、深度学习和随机模拟 [1]Xue Na;陈明华, Multiprecision computing for multistage fractional physics-informed neural networks, Chaos, (2025) 113109 [2]Xu Xingjian;陈明华, Discovery of subdiffusion problem with noisy data via deep learning, Journal of Scientific Computing, (2022) Paper No. 23 [3]Song Zhen; 陈明华; Shi Jiankang, Superlinearly convergent algorithms for stochastic time-fractional equations driven by white noise, Journal of Computational Mathematics, doi:10.4208/jcm.2505-m2025-0062 [4]陈明华; Shi Jiankang, Song Zhen; Yan Yunbin; Zhou Zhi, Time discretization schemes for stochastic subdiffusion and fractional wave equations with integrated additive noise, Computers and Mathematics with Applications, (2026) 155-169 四、快速多重网格法 [1]陈明华; Ekström Sven-Erik; Serra-Capizzano Stefano, A multigrid method for nonlocal problems:non-diagonally dominant or Toeplitz-plus-tridiagonal systems, SIAM Journal on Matrix Analysis and Applications, (2020) 1546-1570 [2]陈明华; Deng Weihua, Convergence analysis of a multigrid method for a nonlocal model, SIAM Journal on Matrix Analysis and Applications, (2017) 869-890 [3]陈明华; Deng Weihua; Serra-Capizzano Stefano, Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation, Journal of Scientific Computing, (2018) 1034-1059 [4]陈明华; Cao Rongjun; Serra-Capizzano Stefano, Fast algebraic multigrid for block-structured dense systems arising from nonlocal diffusion problems, Calcolo, (2024) 61:57
1.甘肃省杰出青年基金项目,反常扩散模型的分析与计算,2023.07-2026.06,40万,主持,在研。 2.甘肃省陇原青年英才,中共甘肃省委人才工作领导小组(甘人社通 [2025] 184号),15万,主持,在研。 3.国家自然科学基金面上项目,具有奇异源项或噪声项反常扩散模型的算法设计、分析及其在污染物迁移示踪中的应用,2025.01-2028.12, 44万,主持,在研。 4.国家自然科学基金青年基金项目,非局部方程的高阶格式与多重网格算法,2017.01-2019.12, 19万,主持,结题。 5.湖南省重点实验室开放课题基金,非局部模型的数值算法,2019.12-2021.12,5万,主持,结题。
2023年获选甘肃省杰出青年基金项目 2025年获选甘肃省“陇原青年英才” 2020年获选教育部自然科学奖二等奖(邓伟华、王业娟、陈明华) 2017年获选中国数学会计算数学分会优秀青年论文二等奖 2025年指导“全国大学生统计建模大赛”,甘肃赛区研究生组一等奖 2024年指导“华为杯中国研究生数学建模竞赛” 二等奖 2024年兰州大学本科毕业论文“优秀指导教师” 2023年获评国家级一流本科课程(4/5)
担任 fractal and fractional 的客座编辑、中国数学会计算数学分会理事。担任 SIAM Journal on Numerical Analysis、SIAM Journal on Scientific Computing、SIAM Journal on Matrix Analysis and Applications、ESAIM:M2AN、Journal of Scientific computing、 Communications in Computational Physics、Journal of Computational Physics、Numerical Methods for Partial Differential Equations、Applied Mathematical Modelling 等杂志审稿人。受中俄数学中心资助参加由人力资源社会保障部(国家外国专家局)与上海市人民政府共同主办第23届中国国际人才交流大会(国际数学人才合作与交流活动)。
详见: https://orcid.org/0000-0002-1327-7688 https://www.researchgate.net/profile/Minghua-Chen-5/publications
作者:陈明华