召集人：汤涛（北京师范大学—香港浸会大学联合国际学院）、金石（上海交通大学）、沈捷（东方理工大学）

时   间：2024.05.19—2024.05.25

Tianyuan Mathematics Research Center

Seminar on New Synergies between Scientific Computing and Applied Analysis

PROGRAM

Kunming, Yunnan

May 19th - May 24th, 2024

Conference Schedule for the Seminar on New Synergies between Scientific Computing and Applied Analysis

This conference is one of the series of academic activities approved by the Academic Committee of the Tianyuan Mathematical Research Center (Approval No. TY-2023-012). Scientific computing and applied analysis are typically considered as distinct research domains, each with its own research communities and conference organizations. However, many problems in scientific computing rely on applied analysis for validation and assessment, while numerous results in applied analysis are driven by problems originating from scientific computing. The purpose of this seminar is to bring together experts from both scientific computing and applied analysis to discuss challenging issues in both research domains and to foster further collaboration between the two fields. Tianyuan Mathematical Research Center adopts a organizer system for its conferences. The organizers for this seminar are as follows:

Sunday, May 19th

09:00-22:00  Check-in and Registration

18:00-20:00  Dinner

Monday morning, May 20th

Session Chair：Jie Shen

08:20-08:40  Opening Ceremony

1. Opening remarks by Tang Tao (Online)

2. Opening remarks by the Director of Tianyuan Mathematics

  Research Center

3. Conference Group Photo

Session Chair：Olivier Goubet

08:40-09:10  Structure preserving schemes using the Lagrange multiplier approach

Speaker：Jie Shen  Eastern Institute of Technology, Ningbo

09:15-09:45  On a 2D transmission problem with singularity at the interface modeling autoignition of reactive jets 

Speaker：Claude-Michel Brauner  University of Bordeaux Institut de                 Mathématiques de Bordeaux (IMB)

09:45-10:15  Coffee & Tea break

Session Chair：Claude-Michel Brauner

10:15-10:45  Modeling forest ecosystem and comparison principles

Speaker：Olivier Goubet  Univ. of Lille, France

10:50-11:20  On some joint effects of dispersion and dissipation for a class of nonlinear dispersive wave equations

Speaker：Bingyu Zhang  University of Cincinnati

11:25-11:55  A Novel Stochastic Interacting Particle-Field Algorithm for 3D       Parabolic-Parabolic Keller-Segel Chemotaxis System

Speaker：Zhiwen Zhang  The University of Hong Kong

12:00-14:30  Lunch

Monday afternoon, May 20th

Session Chair：Carole Rosier

14:30-15:00  Energy-dissipative spectral renormalization exponential integrator method for gradient flow problems 

Speaker：Zhonghua Qiao  The Hong Kong Polytechnic University

15:05-15:35  Original energy diminishing Runge-Kutta methods for phase field      models

Speaker：Jiang Yang  Southern University of Science and Technology

15:35-16:05  Coffee & Tea break

Session Chair：Zhonghua Qiao 

16:05-16:35  A case study towards the fusion computation of mechanism and data in CFD

Speaker：Guanghui Hu  University of Macau

16:40-17:10  TBD

Speaker：Francis Filbet  University of Toulouse, France

17:50-20:00   Dinner

Tuesday morning, May 21th

Session Chair：Jie Shen

08:30-09:00  Dimension lifting for quantum computation of partial differential equations 

Speaker：Shi Jin  Shanghai Jiao Tong University

09:05-09:35  Random ordinate method and Random source iteration for mitigating the ray effect in radiative transport equation simulations

Speaker：Min Tang  Shanghai Jiao Tong University

09:40-10:10  Multiscale numerical methods for isothermal fluid models of confined plasma

Speaker：Chang Yang  Harbin Institute of Technology

10:10-10:40  Coffee & Tea break 

Session Chair：Min Tang

10:40-11:10  Ergodicity and long-time behavior of the Random Batch Method for interacting particle systems

Speaker：Zhennan Zhou  Peking University

11:15-11:45  New unconditionally stable high-order consistent splitting schemes for the Navier-Stokes equations

Speaker：Fukeng Huang  National University of Singapore

11:50-14:30  Lunch

Tuesday afternoon, May 21th

Session Chair：Zhennan Zhou

14:30-15:00  Numerical methods for linearly elastic shallow shell model

Speaker：Xiaoqin Shen  Xi’an University of Technology

15:05-15:35  Schrödingerisation based computationally stable algorithm for ill-posed problems in partial differential equations

Speaker：Chuwen Ma  Shanghai Jiao Tong University

15:35-16:05  Coffee & Tea break

Session Chair：Bingyu Zhang

16:05-16:35  A class of positivity preserving and mass conserving numerical scheme for the PNP equation

Speaker：Yongyong Cai  Beijing Normal University

16:40-17:10  Efficient stochastic methods for semi-linear PDEs driven by α-stable Lévy process 

Speaker：Changtao Sheng  Shanghai University of Finance Economics

17:50-20:00  Dinner

Wednesday morning, May 22th

Session Chair：Shi Jin

08:30-09:00  Modeling of underground flows Application to reactive transport

Speaker： Carole Rosier  University of the Littoral Opal Coast

09:05-09:35  Random Batch Ewald and Random Batch Sum-of-Gaussians Methods

Speaker： Zhenli Xu  Shanghai Jiao Tong University

09:40-10:10  Solving Kinetci Equations via Deep Learning 

Speaker： Zheng Ma  Shanghai Jiao Tong University

10:10-10:40  Coffee & Tea break 

Session Chair：Zhenli Xu

10:40-11:10  Convection in Layered Porous Media

Speaker： Xiaoming Wang  Missouri University of Science and Technology

11:15-11:45  Structure-preserving spectral and spectral-element method for plasma simulation

Speaker： Zhiguo Yang  Shanghai Jiao Tong University

11:50-14:30  Lunch

Wednesday afternoon, May 22th

14:30-18:00  Open Discussion

18:00-20:00  Dinner

Thursday morning, May 23th

Session Chair：Min Chen

08:30-09:00  Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Hyd-rodynamics 

Speaker： Huazhong Tang  Peking University

09:05-09:35  TBD

Speaker： Yana Di  Beijing Normal University - Hong Kong Baptist       University United International College

09:40-10:10  When PDE can help with continuous-time Reinforcement learning?

Speaker： Yuhua Zhu  University of California San Diego

10:10-10:40  Coffee & Tea break 

Session Chair：Huazhong Tang

10:40-11:10  Optimal Transport: Calculation and Application 

Speaker： Hao Wu  Tsinghua University

11:15-11:45  TBD 

Speaker： Lorenzo Pareschi  University of Ferrara, Italy

11:50-14:30  Lunch

Thursday afternoon, May 23th

Session Chair：Xiaoqin Shen

14:30-15:00  TBD 

Speaker： Jerry Bona  University of Illinois at Chicago

15:30-16:00  TBD 

Speaker： Hongqiu Chen  University of Memphis

16:00-18:00  Open Discussion

18:00-20:00  Dinner

Friday, May 24th

Departure

List of Participants