Numerical Methods for Spectral Problems: Theory and Applications 2024

5 - 9 August, 2024     Guiyang, China

August 6, 2024

S0   August 6 8:30-9:00   Room A
8:30-9:00 Opening ceremony and group photo
S1   Session 1 August 6 9:00-12:00   Room A
Chairman: Zhimin Zhang (张智民), Xuefeng LIU(刘雪峰)
9:00 - 9:30 Kohn-Sham GGA 模型及其逼近   abstract
Aihui Zhou (Academy of Mathematics and Systems Science, Chinese Academy of Sciences)  
9:30 - 10:00 Numerical Methods for Scattering Poles   abstract
Jiguang Sun (Michigan Technological University)  
10:00 - 10:15 Break time
10:15 - 10:45 A fast Fourier-Galerkin method for solving boundary integral equations on surfaces diffeomorphic to a torus   abstract
Ying Jiang (Sun Yat-sen University)  
10:45 - 11:15 An Introduction to Over-Penalized Weak Galerkin Methods   abstract
Lunji Song (Lanzhou University)  
11:15 - 11:45 Mathematical analysis of deep learning from a viewpoint of numerical analysis   abstract
Noboru Isobe (Univ. of Tokyo)  
S2   Session 2 August 6 14:00-17:00   Room A
Chairman: Aihui ZHOU (周爱辉), Jiguang SUN(孙继广)
14:00 - 14:30 Eigenvalue Analysis of Spectral-Galerkin Discretisation of IVPs and Space-Time Spectral Methods   abstract
Li-Lian Wang (Nanyang Technological University)  
14:30 - 15:00 A C0 Finite Element Method for the Triharmonic Problem   abstract
Hengguang Li (Wayne State University)  
15:00 - 15:30 Arbitrary high order finite difference schemes for the fractional differential equations   abstract
Peng Ding (Xiamen University)  
15:30 - 15:45 Break time
15:45 - 16:15 On the eigen-spectra of Riesz derivative operator   abstract
Changpin Li (Shanghai University)  
16:15 - 16:45 Construction of fractional pseudospectral differentiation matrix with applications   abstract
Tinggang Zhao (Shandong University of Technology)  
16:45 - 17:15 An efficient decoupled and dimension reduction scheme for quad-curl eigenvalue problem in balls and spherical shells   abstract
Jiantao Jiang (Beijing Computational Science Research Center)  

August 7, 2024

S3   Session 3 August 7 9:00-12:00   Room A
Chairman: Lilian WANG (王立联), Hengguang LI (李恒光)
9:00 - 9:30 追求更满意算法,打造新一代软件   abstract
Jun Hu (Peking University)  
9:30 - 10:00 The fully mixed finite element method for the Signorini problem   abstract
Guanyu Zhou (University of Electronic Science and Technology of China)  
10:00 - 10:15 Break time
10:15 - 10:45 Error estimation for finite element solutions on meshes that contain thin elements   abstract
Kenta Kobayashi (Hitotsubashi University)  
10:45 - 11:15 DECOUPLING PDE COMPUTATION WITH INTRINSIC ROBIN INTERFACE CONDITION   abstract
Mo Mu (Hong Kong Univ of Sci & Tech)  
11:15 - 11:45 High-precision eigenvalue estimation with Kato-Lehmann-Goerisch's theorem   abstract
Xuefeng Liu (TWCU)  
S4   Session 4 August 7 14:00-17:00   Room A
Chairman: Jun HU (胡俊), Changpin LI (李常品)
14:00 - 14:30 Continuity and differentiability of eigenvalues of Laplacian with respect to general domain perturbations   abstract
Takuya Tsuchiya (Osaka University)  
14:30 - 15:00 Adaptive FEM for Elliptic Eigenvalue Optimization in Phase Field   abstract
Yifeng Xu (Shanghai Normal University)  
15:00 - 15:15 Break time
15:15 - 15:45 Weak Galerkin spectral element methods for elliptic eigenvalue problems: lower bound approximation and superconvergence   abstract
Huiyuan Li (Institute of Software Chinese Academy of Sciences)  
15:45 - 16:15 Verified computation method for difference quotients of Laplacian eigenvalues   abstract
Ryoki Endo (Niigata University)  
16:15 - 16:45 A variational Crank--Nicolson ensemble Monte Carlo algorithm for a heat equation under uncertainty   abstract
Changlun Ye (Guizhou Normal University)  

August 8, 2024

S5   August 8 9:00-12:00   Room A
9:00-12:00 (tentative) Intensive course: High-precision eigenvalue bounds computation method (Xuefeng LIU)
S6   August 8 14:00-17:00   Room A
14:00-17:00 Free discussion

August 9, 2024

S7   Session 7 August 9 9:00-12:00   Room A
9:00-10:00 Closing ceremony