Numerical methods for spectral problems: theory and applications

2 - 4 September, 2019 RIMS, Kyoto, Japan

September 1, 2019

S-1-1 General session (VCCP)		September 1 14:00-15:30 Room 127(Bd 3)
Chairman: Kouta SEKINE
14:00 - 14:30 Verified pointwise evaluation for Poisson's equation via hypercircle method abstract Xuefeng LIU (Niigata University)
14:30 - 15:00 Fast verified computation for the Perron pair of an irreducible nonnegative matrix abstract Shinya Miyajima (Iwate University)
15:00 - 15:30 Numerical analysis of the method of fundamental solutions applied to Helmholtz-type equations abstract Koya Sakakibara (Kyoto University)

S-1-2 General session (VCCP)		September 1 16:00-17:00 Room 127(Bd 3)
Chairman: Xuefeng LIU
16:00 - 16:30 Optimal guaranteed lower bounds of eigenvalues for Steklov eigenvalue problems abstract Qin Li (Beijing Technology and Business University)
16:30 - 17:00 Some high-efficiency algorithms for eigenvalue problems abstract Shuo Zhang (Institute of Computational Mathematics, Chinese Academy of Sciences)

September 2, 2019

S-2-1: Keynote lecture		September 2 9:00-10:30 Room 110(RIMS)
Chairman: Xuefeng LIU
9:00 - 9:45 A priori and a posteriori estimates for eigenvalue problems abstract Daniele Boffi (University of Pavia)
9:45 - 10:30 Eigenvalue Problems in Inverse Electromagnetic Scattering Theory abstract Peter Monk (University of Delaware)

S-2-2 General session		September 2 10:50-12:20 Room 110(RIMS)
Chairman: Xuefeng LIU
10:50 - 11:20 Multigrid method for linear and nonlinear eigenvalue problems abstract Hehu Xie (Academy of Mathematics and Systems Science, Chinese Academy of Sciences)
11:20 - 11:50 An operator matrix expression to the solution of linear operator equations in Banach space and its application abstract Kouta Sekine (Toyo University)

S-2-3 Keynote Lecture		September 2 13:30-15:00 Room 110(RIMS)
Chairman: Mitsuhiro NAKAO
13:30 - 14:15 Verification of existence of periodic solutions for nonlinear delay differential equations and related eigenvalue problems abstract Shin'ichi Oishi (Waseda University)
14:15 - 15:00 Computer-assisted existence and multiplicity proofs for semilinear problems on bounded and unbounded domains abstract Michael Plum (Karlsruher Institut für Technologie)

S-2-4 General session		September 2 15:15-16:45 Room 110(RIMS)
Chairman: Michael Plum
15:15 - 15:45 Orbital stability investigation for travelling waves in a nonlinearly supported beam abstract Kaori Nagatou (Karlsruhe Institute of Technology)
15:45 - 16:15 Guaranteed bounds for the eigenvalues of Laplacian in curved domains abstract Shinya Uchiumi (Gakushuin University)
16:15 - 16:45 Explicit a posteriori local error estimation for FEM solutions abstract Taiga Nakano (Graduate school of Science and Technology, Niigata University)

September 3, 2019

S-3-1 Keynote Lecture		September 3 9:00-9:45 Room 110(RIMS)
Chairman: Xuefeng LIU
9:00 - 9:45 An analysis on lower bound and upper bound and construction of high accuracy schemes in PDE eigen-computation abstract Jiachang Sun (Institute of Software Chinese Academy of Sciences)

S-3-2 General session		September 3 10:00-12:00 Room 110(RIMS)
Chairman: Miyajima Shinya/Xuefeng LIU
10:00 - 10:30 Efficient Spectral and Spectral Element Methods for Eigenvalue Problems of Schrodinger Equations with an Inverse Square Potential abstract Huiyuan Li (Institute of Software Chinese Academy of Sciences)
10:30 - 11:00 An accelerated technique for solving one type of continuous-time algebraic Riccati equations arising from palindromic eigenvalue problems abstract Chun-Yueh Chiang (Center for General Education, National Formosa University)
11:00 - 11:10 Break time
11:10 - 11:40 The numerical methods for nonlinear eigenvalue problems abstract Ching-Sung Liu (National University of Kaohsiung, Taiwan)
11:40 - 12:10 A Structured Eigensolver for Spectral Conformal Parameterizations abstract Wei-Qiang Huang (General Education, National Formosa University, Taiwan)

S-3-3 General session		September 3 13:30-15:00 Room 110(RIMS)
Chairman: Jeffrey Ovall
13:30 - 14:00 A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques abstract Harri Hakula (Aalto University)
14:00 - 14:30 Conforming and nonconforming virtual elements for eigenvalue problems abstract Francesca Gardini (University of Pavia)
14:30 - 15:00 Filtered subspace iteration for selfadjoint operator eigenvalue problems abstract Jeffrey Ovall (Portland State University)

September 4, 2019

S-4-1 General session		September 4 9:00-10:30 Room 110(RIMS)
Chairman: Xuefeng LIU
9:00 - 9:30 On spectral optimization problems with mixed Dirichlet-Neumann data abstract Nilima Nigam (Simon Fraser University)
9:30 - 10:00 Some eigenvalue problems for the Lam\'e operator abstract Sebastian Dominguez (Simon Fraser University)
10:00 - 10:15 Break time
10:15 - 10:45 Explicit lower eigenvalue bounds of differential operators abstract Xuefeng LIU (Niigata University)
10:45 - 11:15 Rigorous and fully computable a posteriori error bounds for eigenfunctions abstract Tomas Vejchodsky (Institute of Mathematics, Czech Academy of Sciences)