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传记
Guangming 姚 has an undergraduate degree and master degree in mathematics from Haerbin Normal University and a Ph.D. in computational mathematics from the 南密西西比大学. Her research concentrates on meshless method for solving differential equations and mathematical modeling. She is curious about differences on mathematics education between China and US.
教育背景
计算科学(数学)博士.D. - 2010年南密西西比大学
数学(非线性分析.S. - 2006年，哈尔滨师范大学
数学与应用数学.S. ——哈尔滨师范大学
课程
- 微积分我
- 微积分二世
- 指南针微积分
- 初等微分方程
- 高等工程数学
- 线性代数
- 数值微分方程
- Initial and Boundary Value Problems and Partial Differential Equations
- 功能分析
研究兴趣
My research interests include numerical solutions of ODEs and PDEs, 径向基函数, and related mathematical modelings and computations:
RBF-PDE. This is my primary research area where I'm investigating numerical methods using 径向基函数 (RBFs) to solve various types of partial differential equations including elliptic PDEs and other time dependent PDEs. RBFs are used to discretize spatial domains on scattered data.
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奖
- NSF Award #1431882 COMPASS: CoOrdinated Math-Physics Assessment for Student Success, 2015--2017. The COMPASS (Co-Ordinated Math and Physics Assessment for Student Success) program will support a national initiative to retain STEM majors and will be designed to aid students to navigate successfully through their first year. 特别是, the program will be designed to help students improve their achievements in their introductory courses and increase retention. The proposed approach combines effective educational programs tailored to specific student needs prior to their enrollment.
- esball国际app奖, 南密西西比大学, two graduate students received this award per academic year, 2010.
- Excellent esball国际app奖 in Heilongjiang Province, China, 2016.
出版物
- G. 姚, Karen Bliss, Michelle Crimi, Katie Fowler, Jesse Clark-Stone, and Wen Li, Radial Basis Function Simulation of Slow-Release Permanganate for Groundwater Remediation Via Oxidation, Journal of Computational and 应用数学, 307, 235--247, 2016.
- M. Bani-Yaghoub, G. 姚， H. Voulov, Existence and stability of stationary waves of a population model with strong allee effect, Journal of Computational and 应用数学, 307, 385--393, 2016.
- G. 姚, An Improved localized method of approximate particular solutions for solving elliptic PDEs, Computers and 数学 with Applications, 71(1), 171--184, 2016.
- G. 姚, C. S. 陈，李文，D. L. 年轻的时候, The localized method of approximated particular solutions for near-singular two- and three-dimensional problems, Computers and 数学 with Applications, 70, 2883--2894, 2015.
- 李文，刘晓燕，还有 G. 姚, A local meshless collocation method for solving certain inverse problems, Engineering Analysis with Boundary Elements, 57, 9--15, 2015.
- C. S. 陈，蒋新荣，陈文，等 G. 姚, Fast Solution for Solving the Modified HelmholtzEquationwith theMethod of Fundamental Solutions, 计算物理通讯, 17(03), 867--886, 2015.
- G. 姚，贾铎，C. S. 陈和L. H. 沈, Implicit local radial basis function interpolations based on function values, 应用数学与计算, 265(15), 91--102, 2015.
- Majid Bani-Yaghoub, G. 姚，藤原雅美和大卫E. 阿蒙森, Understanding the interplay between density dependent birth function and maturation time delay using a reaction-diffusion population model, 生态复杂性, 21, 14--26, 2015.
- Majid Bani-Yaghoub, G. 姚, 亚伦·里德, Modeling and Numerical Simulations of Single Species Dispersal in Symmetrical Domains, International Journal of 应用数学, 27(6), 525--547, 2014.
- 霍柏荣，严秀玲， G. 姚, Analysis of credit portfolio risk in a localized one-factor model, 信用风险杂志, 10(4), 45--70, 2014.
- 凯利·布莱克和 G. 姚, The efficacy of note taking for video examples, PRIUM 24(5), 421--441, 2014.
- K. 刘, G. 姚和Z. Yu, Parallel acceleration for numerical simulations of calcium dynamics in cardiac myocytes, “生物医学材料与工程 24(1), 1417-1424, 2014.
- G. 姚，文松， A weaker constraint qualification of globally convergent homotopy method for a multiobjective programming problem, 应用数学, 4 (2), 343--347, 2013.
- G. 姚西拉杰·伊尔·伊斯兰和博兹达尔·萨勒， Assessment of global and local meshless methods based on collocation with 径向基函数 for parabolic partial differential equations in three dimensions, Engineering Analysis with Boundary Elements, 36, 1640--1648, 2012.
- G. 姚 余泽云; A localized meshless approach for modeling spatial-temporal calcium dynamics in ventricular myocytes>, International Journal for Numerical Methods in Biomedical Engineering, 28(2), 187--204, 2012.
- 余泽云和 G. 姚, M. Hoshijima,. 米切洛娃和M. 霍尔斯特, Multi-scale modeling of calcium dynamics in ventricular myocytes with realistic transverse tubules, IEEE生物医学工程学报,卷. 58 No .10, 2947-2951, 2011.
- G. 姚约瑟夫·科利巴尔和C.S. 陈, A localized approach for the method of approximate particular solutions, Computers and 数学 with Applications,卷. 61 No. 9, 2376--2387, 2011.
- G. 姚Bozidar Sarler和C. S. 陈, A comparison of three meshless methods for diffusion equations using 径向基函数, Engineering Analysis with Boundary Elements,卷. 35, 600-609, 2011.
- G. 姚Siraj-ul-Islam和Bozidar Sarler， A comparative study of global and local meshless methods for diffusion-reaction equation, 工程中的计算机建模 & 科学 ,卷. 59, No. 2, 127--154, 2010.
- G. 姚, C. H. 蔡康永和陈文， A comparison of three meshless methods for solving high-order elliptic partial differential equations, Engineering Analysis with Boundary Elements,卷.34, No. 7, 625--631, 2010.
- G. 姚, C. S. 陈、C. C. 蔡, A revisit on the derivation of the particular solution for thin plate vibration, Advances in 应用数学 and Mechanics,卷. 1, No. 6, 750--768, 2009.
- G. 姚, C. S. 陈、玛丽娜·杰伦和B. sarl), Meshless solutions of temperature fields for use in dendritic growth simulations, International Conference on Optimization Using Exergy-Based Methods and Computational Fluid Dynamics, 柏林, 德国, 10月20日——23日, 2009.
- 宁E，和 G. 姚, The boundedness of the lagrange multiplier set, Natural 科学 Journal of Harbin Normal University,卷. 124, No. 6, 2008.
- 文松和 G. 姚, Homotopy method for general multiobjective programming problems, Journal of Optimization Theory and Applications,卷. 138, No.1, 139--153, 2008.
- G. 姚 和文松， Homotopy method for multi-objective programming problems, Journal of Natural Science of Heilongjiang University,卷. 24, No. 2, 253--256, 2007.
- 九鼎和 G. 姚, The eigenvalue of a specially updated matrix, 应用数学与计算,卷. 185, No. 1, 415--420, 2007.