Workshop on Computational Methods for Eigenvalue Problems

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Workshop on Computational Methods for Eigenvalue Problems 天元数学东北中心 Tianyuan Mathematical Center in Northeast China Workshop on Computational Methods for Eigenvalue Problems Jilin University·Changchun Tianyuan Mathematical Center in Northeast China 2018.8.14 - 8.17 国家自然科学基金数学天元基金资助 吉林大学资助 Contents Goal of the Workshop .................................................................................................... 1 Organizing Committee ................................................................................................... 2 Workshop Sponsors........................................................................................................ 3 Information .................................................................................................................... 4 Invited Speakers ............................................................................................................. 6 Schedule ......................................................................................................................... 8 Abstracts ...................................................................................................................... 12 Workshop Participants ................................................................................................. 33 Introduction to Tianyuan Mathematical Center in Northeast China ............................ 36 Goal of the Workshop The purpose of this workshop is to bring together people working on various aspects of the study of practical nonlinear iterative methods, mesh based adaptive methods, scalable computational methods of the discretized problems as well as their corresponding tractable models and highly efficient numerical simulation on computers with more than ten thousand CPU cores, for solving eigenvalue problems arising from modeling the microstructure of matter. This workshop is one of workshop series on Computational Methods for Eigenvalue Problems. The past four workshops were held at Academy of Mathematics and Systems Science, Chinese Academy of Sciences, on July 15-16, 2014, May 30-31, 2015, September 24-25, 2016, and December 9-10, 2017, respectively. 1 Organizing Committee Xiaoying Dai Academy of Mathematics and Systems Science, Chinese Academy of Sciences Ran Zhang Jilin University Weiying Zheng Academy of Mathematics and Systems Science, Chinese Academy of Sciences Aihui Zhou Academy of Mathematics and Systems Science, Chinese Academy of Sciences 2 Workshop Sponsors This workshop is sponsored by: ※National Natural Science Foundation Mathematics Tianyuan Fund ※Academy of Mathematics and Systems Science, Chinese Academy of Sciences ※Jilin University. 3 Information 1、Registration Registration Opens: 14:00pm to 20:00pm on August 13, at June Hotel 8:00am to 11:30am on August 14, at the Lecture Hall of the Math Building For other time registration, please contact us. 2、Venue The First Lecture Hall, School of Mathematics of Jilin University The Math Building The Lecture Hall 4 3、Dining Breakfast Lunch Dinner 6:30-9:00 12:00-14:00 18:00-20:00 August 13 —— —— June Hotel August 14 June Hotel June Hotel June Hotel August 15 June Hotel June Hotel June Hotel August 16 June Hotel June Hotel Banquet August 17 June Hotel June Hotel June Hotel *The Banquet will be held on August 16, starting at 6:00pm. 4、Contact us Xiuping Gao 13596117968 Danhong Wang 13404775711 Xingwu Sun 13504468895 5、Tips ※June Hotel Address: No.811 Xiuzheng Road, Changchun City, Jilin Province, China Tel:+86-431-87058888 ※Taking taxi Please do not take a taxi in the night. If you need, Please contact Mr. Lv for picking up service before you come to Changchun , Tel:13624465812. 5 Invited Speakers No. Name Institute 1 Zhaojun Bai University of California, Davis, USA 2 Yongyong Cai Beijing Computational Science Research Center, China 3 Huajie Chen Beijing Normal University, China 4 Lizhen Chen Beijing Computational Science Research Center, China 5 Xingqiu Chen Institute of Metal Research, Chinese Academy of Sciences, China 6 Zhengyu Chen University of Waterloo, Canada Academy of Mathematics and Systems Science, Chinese Academy Xiaoying Dai 7 of Sciences, China 8 Jun Fang Institute of Applied Physics and Computational Mathematics,China 9 Weiguo Gao Fudan University, China 10 Xingyu Gao Institute of Applied Physics and Computational Mathematics,China 11 Yali Gao Northwestern Polytechnical University, China Stefano de Scuola Internazionale Superiore di Studi Avanzati (SISSA) and 12 Gironcoli CNR-IOM DEMOCRITOS Simulation Centre, Italy 13 Guanghui Hu University of Macau, China 14 Jun Hu Peking University, China 15 Wenjian Liu Peking University, China Academy of Mathematics and Systems Science, Chinese Academy Xin Liu 16 of Sciences, China 17 Yanming Ma Jilin University, China Laboratoire Jacques-Louis Lions and French Institute for Research Xinran Ruan 18 in Computer Science and Automation, France 19 Tetsuya Sakurai University of Tsukuba, Japan 20 Sihong Shao Peking University, China Tomohiro Nagoya University, Japan 21 SOGABE 22 Yangfeng Su Fudan University, China 6 Michigan Technological University, USA and Beijing Jiguang Sun 23 Computational Science Research Center, China 24 Yanqiu Wang Nanjing Normal University, China 25 Wei Wang Beijing Computational Science Research Center, China Academy of Mathematics and Systems Science, Chinese Academy Hehu Xie 26 of Sciences, China 27 Chao Yang Lawrence Berkeley National Laboratory, USA 28 Xiaobo Yin Central China Normal University, China 29 Zhimin Zhang Beijing Computational Science Research Center, China 30 Yuzhi Zhou Institute of Applied Physics and Computational Mathematics,China 7 Schedule Workshop on Computational Methods for Eigenvalue Problems Venue: The First Lecture Hall, School of Mathematics of Jilin University Date Time Schedule August 13 14:00-20:00 Registration: June Hotel (Monday) 08:30-08:50 Opening Ceremony and Group Photo 08:50-10:20 Chair: Zhiming Zhang Zhaojun Bai: Nonlinear Eigenvalue Problems: Recent Advances and 08:50-09:35 Challenges Tetsuya Sakurai: An Eigen-analysis Engine for Large-scale Simulation and 09:35-10:20 Data Analysis 10:20-10:35 Tea Break 10:35-12:05 Chair: Xingqiu Chen Stefano de Gironcoli: Comparing Efficiency of Iterative Eigenvalue 10:35-11:20 Solvers: the Quantum ESPRESSO Experience Yuzhi Zhou: Applicability of Kerker Preconditioning Scheme to the Self- 11:25-12:05 consistent Density Functional Theory Calculations August 14 12:05-14:30 Lunch (Tuesday) 14:30-16:00 Chair: Tetsuya Sakurai Wenjian Liu: iVI: An Iterative Vector Interaction Method for Large 14:30-15:15 Eigensystems Zhiming Zhang: An Efficient Spectral Galerkin Method for Maxwell 15:15-16:00 Transmission Eigenvalue Problems 16:00-16:15 Tea Break 16:15-17:45 Chair: Stefano de Gironcoli Zhengyu Chen: Eigenvalue Problems in Polymer Theory: Their Physics 16:15-17:00 and Challenges Huajie Chen: A Discontinuous Galerkin Scheme for Full-potential 17:00-17:45 Electronic Structure Calculations 18:00-20:00 Dinner 8 Date Time Schedule 08:30-10:00 Chair: Zhaojun Bai Chao Yang: Many-body Localization and Thermalization: A 08:30-09:15 Computational Study 09:15-10:00 Weiguo Gao: TBA 10:00-10:15 Tea Break 10:15-11:45 Chair: Wenjian Liu 10:15-11:00 Xingqiu Chen: TBA 11:00-11:45 Sihong Shao: Computational Quantum Mechanics in Phase Space 11:45-14:30 Lunch August 15 (Wednesday) 14:30-16:00 Chair: Chao Yang 14:30-15:15 Yanming Ma: TBA Jun Fang: On the Wavefunction Prediction Techniques in Born- 15:15-16:00 Oppenheimer Molecular Dynamics 16:00-16:15 Tea Break 16:15-17:45 Chair: Yanming Ma Xin Liu: Parallelizable Algorithms for Optimization Problems with 16:15-17:00 Orthogonality Constraints Tomohiro Sogabe: Recent Progress on Numerical Algorithms for Large 17:00-17:45 Eigenvalue Problems 18:00-20:00 Dinner 9 Date Time Schedule 08:30-10:00 Chair: Ran Zhang 08:30-09:15 Jun Hu: TBA Hehu Xie: The Construction and Application of Subspace in Solver for 09:15-10:00 Eigenvalue Problems 10:00-10:15 Tea Break 10:15-11:45 Chair: Weiguo Gao 10:15-11:00 Yangfeng Su: Theory and Computation of 2D Eigenvalue Problems Wei Wang: Domain Decomposition Method for Discrete Elliptic 11:00-11:45 Eigenvalue Problems August 16 11:45-14:30 Lunch (Thursday) 14:30-16:00 Chair: Xin Liu Xingyu Gao: The Adaptive Self-consistent Field Iteration for Solving the 14:30-15:15 Kohn-Sham Equation Guanghui Hu: H-adaptive Finite Element Methods in Kohn-Sham 15:15-16:00 Density Functional Theory 16:00-16:15 Tea Break 16:15-17:45 Chair: Xingyu Gao 16:15-17:00 Yongyong Cai: Ground States of Spinor Bose-Einstein Condensates Xinran Ruan: Preliminary Studies of the Fundamental Gaps of the 17:00-17:45 Gross-Pitaevskii Equation and the Fractional Schrödinger Operator 18:00-20:00 Banquet 10 Date Time Schedule 08:30-10:00 Chair: Yangfeng Su 08:30-09:15 Jiguang Sun: A Multilevel Memory Efficient Spectral Indicator Method Yanqiu Wang: Finite Elements on Prisms and Cones with Polygonal 09:15-10:00 Bases 10:00-10:15 Tea Break 10:15-11:45 Chair:Jiguang Sun Xiaoying Dai: A Conjugate Gradient Method for Electronic Structure 10:15-11:00 Calculations Yali Gao: Decoupled, Linear, and Energy Stable Finite Element 11:00-11:45 Method for the Two-phase Flows in Karstic Geometry August 17 (Friday) 11:45-14:30 Lunch 14:30-16:00 Chair: Xiaoying Dai Xiaobo Yin: Acceleration of Stabilized Finite Element Discretizations 14:30-15:15 for the Stokes Eigenvalue Problem 15:15-16:00 Lizhen Chen: Stokes Eigen-modes in 2D Regular Polygons 16:00-16:15 Tea Break 16:15-17:45 Chair: Zhaojun Bai 16:15-17:30 Panel Discussion 18:00-20:00 Dinner 11 Abstracts Nonlinear Eigenvalue Problems:
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