Workshop on
Numerical Methods and Analysis for PDEs

June 26-27, 2024
Harbin Institute of Technology, Shenzhen

Workshop on
Numerical Methods and Analysis for PDEs
Date: June 26-27, 2024
Address: H407, Harbin Institute of Technology, Shenzhen
Organizers:
Norikazu Saito

The University of Tokyo

Jilu Wang

Harbin Institute of Technology, Shenzhen

Buyang Li

The Hong Kong Polytechnic University

Tomoya Kemmochi

Nagoya University

Invited Speakers (Alphabetical order):Takahito Kashiwabara

The University of Tokyo

Tomoya Kemmochi

Nagoya University

Buyang Li

The Hong Kong Polytechnic University

Yonglin Li

The Hong Kong Polytechnic UniversityYuwen LiZhejiang University

Takayasu Matsuo

The University of Tokyo

Norikazu Saito

The University of Tokyo

Shun SatoThe University of Tokyo

Zuoqiang Shi

Tsinghua University

Akitoshi Takayasu

University of Tsukuba

Shinya Uchiumi

Hokkaido University

Yuki Ueda

Hokkaido University

Li-Lian Wang

Nanyang Technological University

Yifei Wu

Tianjin University

Wenjun Ying

Shanghai Jiao Tong University

Weiying Zheng

Academy of Mathematics and Systems Science, CAS

Guanyu Zhou

University of Electronic Science and Technology of China

Qingsong Zou

Sun Yat-sen University1

Schedule
8:40-8:50

June 26
OpeningJune 27

Chair: Weiying Zheng

Chair: Yifei Wu

8:50-9:25Norikazu Saito

8:40-9:15

Li-Lian Wang

9:25-10:00

Takahito Kashiwabara

9:15-9:50

Qingsong Zou

10:00-10:30

Break, poster session

9:50-10:20

Break, poster session

Chair: Norikazu Saito

Chair: Takayasu Matsuo

10:30-11:05

Takayasu Matsuo

10:20-10:55

Tomoya Kemmochi

11:05-11:40

Akitoshi Takayasu

10:55-11:30

Shinya Uchiumi

11:40-12:15

Shun Sato

11:30-12:05

Yuki Ueda

12:15-15:00

Lunch, photo

12:05-15:00

Lunch

Chair: Buyang Li

Chair: Tomoya Kemmochi

15:00-15:35

Weiying Zheng

15:00-15:35

Yifei Wu

15:35-16:10

Wenjun Ying

15:35-16:10

Buyang Li

16:10-16:40

Break, poster session

16:10-16:40

Break, poster session

Chair: Wenjun Ying

Chair: Jilu Wang

16:40-17:15

Zuoqiang Shi

16:40-17:15

Yuwen Li

17:15-17:50

Guanyu Zhou

17:15-17:50

Yonglin Li

17:50-20:00

Dinner

17:50-20:00

Dinner2

Timetable
June 26 (Wednesday)
8:40-8:50
8:50-9:25

Opening

Chair:
Weiying Zheng

9:25-10:00
10:00-10:30

Norikazu Saito: A fictitious-play finite-difference
method for mean field games with a quadratic
Hamiltonian
Takahito Kashiwabara: L∞ -error estimates for
isoparametric FEM on smooth domains
Break, poster session

10:30-11:05

Takayasu Matsuo: Structure-preserving numericalmethods for PDEs and their aggressive splitting

11:05-11:40 Chair:
Norikazu Saito

Akitoshi Takayasu: Rigorous integrator andcomputer-assisted proofs for semilinear parabolic
PDEs in higher dimensions

11:40-12:15

Shun Sato: Linearly implicit conservative exponential
integrators for scalar auxiliary variable approach

12:15-15:00

Lunch, photo

15:00-15:35

15:35-16:10

Chair:
Buyang Li

16:10-16:40
16:40-17:15
17:15-17:50

Weiying Zheng: A two-grid finite element method for
the Schrödinger-Poisson system
Wenjun Ying: A Cartesian grid method fornonhomogeneous elliptic interface problems on
unbounded domains
Break, poster session

Chair:
Wenjun Ying

Zuoqiang Shi: Gradient enhanced ADMM fordynamic optimal transport on manifolds
Guanyu Zhou: The fully mixed finite element methodfor the Signorini problem

17:50-20:00

Dinner3

Timetable
June 27 (Thursday)
8:40-9:15

Chair:
Yifei Wu

9:15-9:50
9:50-10:20

Li-Lian Wang: Low-regularity estimates of time-splitting
Fourier spectral method for logarithmic Schrödinger
equation
Qingsong Zou: PDENNEval: A comprehensive evaluationof neural network methods for solving PDEs
Break, poster session

10:20-10:55
Chair:
10:55-11:30 Takayasu
MatsuoTomoya Kemmochi: Discrete maximal regularity for thediscontinuous Galerkin time-stepping method without
logarithmic factor
Shinya Uchiumi: A finite element / spectral mixed
approximation for the Stokes problem
Yuki Ueda: Time periodic profile on a diffusion equation
model to describe a bubble cluster with rupture
FBSDEs with jumpsLunch

11:30-12:05
12:05-15:00

Yifei Wu: Regularity Mechanism of Nonlinear
15:00-15:35 Chair:
Schrodinger Equations with Rough Potential
TomoyaBuyang Li: Numerical approximation of discontinuous
15:35-16:10 Kemmochi
solutions of the semilinear wave equation
16:10-16:40

Break, poster session

16:40-17:15

Yuwen Li: Reduced Krylov basis methods

17:15-17:50

Chair:
Jilu Wang

Yonglin Li: A new perfectly matched layer method for theHelmholtz equation in nonconvex domains

17:50-20:00

Dinner4