Numerical methods for spectral problems: theory and applications

26 - 31 August, 2023     New Akan Hotel, Kushiro, Hokkaido, Japan

August 27, 2023

S21   August 27 9:00-12:00   Meeting room
9:00 - 9:25 Adaptive computation of harmonic and bi-harmonic eigenvalues   abstract
Carsten Carstensen (Humboldt)  
9:25 - 9:50 Lower/upper bound approximation of H(curl)-conforming spectral element methods for Maxwell eigenvalues   abstract
Jiayu Han (Guizhou Normal University)  
9:50 - 10:15 Asymptotic/guaranteed lower bounds for eigenvalues of several eigenvalue problems   abstract
Yu Zhang (Guizhou University of Finance and Economics)  
10:15 - 10:35 Break time
10:35 - 11:00 Why spectral methods are preferred in PDE eigenvalue computations in some cases?   abstract
Zhimin Zhang (Wayne State University)  
11:00 - 11:25 High-precision eigenvalue estimation using Lehmann-Goerisch's method   abstract
Xuefeng LIU (Niigata University)  
11:25 - 11:50 Numerical experiments with skeletal methods   abstract
Emilie Pirch (Friedrich-Schiller-Universität Jena)  
11:50 - 12:15 Skeletal methods for direct guaranteed lower eigenvalue bounds   abstract
Benedikt Gräßle (Humboldt-Universität zu Berlin)  
S23   August 27 14:15-18:00   Meeting room
14:15 - 14:40 Computer-assisted Existence Proofs for Navier-Stokes Equations on an Unbounded Strip with Obstacle   abstract
Michael Plum (Karlsruhe Institute of Technology)  
14:40 - 15:05 Computer-assisted counterexamples in spectral geometry   abstract
Javier Gomez Serrano (Brown University)  
15:05 - 15:30 Non-selfadjoint spectral problems related to self-similar blowup in nonlinear wave equations   abstract
Kaori Nagatou (Karlsruhe Institute of Technology)  
15:30 - 16:00 Break time
16:00 - 16:25 Log orthogonal functions in semi-infinite intervals: approximation results and applications   abstract
Sheng CHEN (Beijing normal university)  
16:25 - 16:50 Quasi resonances in acoustic scattering: analysis and algorithms   abstract
Luka Grubisic (University of Zagreb, Faculty of Science)  
16:50 - 17:15 Two-parameter localization for eigenfunctions of a Schrodinger operator in balls and spherical shells   abstract
Chen Jia (Beijing Computational Science Research Center)  
17:15 - 17:40 Addressing Open Challenges in Exploring Positivity and Sign-Change in Solutions of Elliptic Equations   abstract
Kazuaki Tanaka (Waseda University)  

August 28, 2023

S31   August 28 9:00-12:00   Meeting room
9:00 - 9:25 Generation of test matrices with specified eigenpairs   abstract
Katsuhisa Ozaki (Shibaura Institute of Technology)  
9:25 - 9:50 Fast verified computation for all eigenvalues and basis of invariant subspaces of a real symmetric matrix   abstract
Shinya Miyajima (Iwate University)  
9:50 - 10:15 Rigorous Eigenvalue Computational Methods for Large-Scale Matrices   abstract
Keisuke Tsukuda (Niigata University)  
10:15 - 10:35 Break time
10:35 - 11:00 Challenges towards and beyond exascale matrix eigenvalue computations   abstract
Toshiyuki Imamura (RIKEN)  
11:00 - 11:25 A parallel eigensolver for photonic crystals discretized by edge finite elements   abstract
Yan Xu (University of Science and Technology of China)  
11:25 - 11:50 Efficient algorithms for transmission eigenvalue problems arising in wave scattering   abstract
Tiexiang Li (Southeast University)  
11:50 - 12:15 Fast L2 optimal mass transport via reduced basis methods for the Monge-Ampère equation   abstract
Xia Yinhua (University of Science and Technology of China)  

August 30, 2023

S51   August 30 9:00-12:00   Meeting room
9:00 - 9:25 A class of efficient Hamiltonian conservative spectral methods for Korteweg-de Vries equations   abstract
Waixiang Cao (Beijing Normal Unviersity)  
9:25 - 9:50 H(curl2)-conforming triangular spectral element methods for quad-curl problems   abstract
Lixiu Wang (University of Science and Technology Beijing)  
9:50 - 10:15 Sparse spectral-Galerkin method on an arbitrary tetrahedron using generalized Koornwinder polynomials   abstract
Lueling Jia (Shandong Normal University, Beijing Computational Science Research Center)  
10:15 - 10:35 Break time
10:35 - 11:00 Convergence study on prolate-Galerkin linear sampling method for shape and parameter identification   abstract
Shixu Meng (Academy of Mathematics and Systems Science, Chinese Academy of Sciences)  
11:00 - 11:25 Efficient numerical method for some nonlocal phase field models   abstract
Wang Jiangxing (Hunan Normal University)  
S53   August 30 14:00-15:30   Meeting room
14:00 - 14:25 Continuity and differentiability of eigenvalues of Laplacian with respect to general domain perturbations   abstract
Takuya Tsuchiya (Osaka University)  
14:25 - 14:50 Conerning the spatial localization of eigenvectors   abstract
Jeffrey Ovall (Portland State University)  
14:50 - 15:15 Verified computation for shape derivative of the Laplacian eigenvalues   abstract
Ryoki Endo (Niigata University)