MS19

Title: Recent Advances in Analysis and Computation of Nonlocal and Fractional Models

Session 1

Name of the speaker	Title	University
Zuoqiang Shi	An effcient finite element method for nonlocal diffusion model with error analysis	Tsinghua University
Xiaobo Yin	Asymptotic error estimates for nonlocal problems with exact or approximated interaction neighborhoods	Central China Normal University
Shuonan Wu	Local discontinuous Galerkin methods for the integral fractional Laplacian	Peking University

Session 2

Name of the speaker	Title	University
Zhiping Mao	A novel class of arbitrary high-order numerical schemes for fractional differential equations	Eastern Institute of Technology
Yiqun Li	The multiscale nonlocal-in-time Schrödinger bridge problem	Wuhan University
Xuehong Cui	A Finite difference method for the relativistic Schrodinger operator: algorithm, analysis and applications	Southeast University

Session 3

Name of the speaker	Title	University
Changpin Li	Analysis and computation for quenching solution to the time-space fractional Kawarada problem	Shanghai University
Changtao Sheng	Effcient sparse Monte Carlo method for high dimensional semi-linear PDEs with jumps	Shanghai University of Finance and Economics
Yufeng Nie	Stability and Error Analysis of Reduced-Order Methods Based on POD with Finite Element Solutions for Nonlocal Diffusion Problems	Northwestern Polytechnical University
Xiangcheng Zheng	Two methods addressing variable-exponent fractional initial and boundary value problems and Abel integral equation	Shandong University

Session 4

Name of the speaker	Title	University
Daxin Nie	Analysis and numerical approximation for space-dependent variable-order fractional diffusion equation in the flowing media	Lanzhou University
Maria Lopez-Fernandez	Convolution Quadrature for the quasilinear subdiffusion equation	University of Malaga
Zihao Yang	An energy-based local-nonlocal coupling method for brittle fracture of heterogeneous materials: Model, Analysis and Simulations	Northwestern Polytechnical University
Yuwen Li	A Rational Approximation Algorithm via the Empirical Interpolation Method	Zhejiang University

Session 5

Name of the speaker	Title	University
Xiaochuan Tian	A Meshfree Framework for Nonlocal Models with Heterogeneous Localization	University of California, San Diego
Nicola De Nitti	Nonlocal regularizations for hyperbolic systems of conservation laws	Università di Pisa
Jieqiong Zhang	Extended random batch method for short range nonlocal interactions with EAM potential	Northwest University
Minghua Chen	Grönwall vector inequality for diagonally dominant systems arising from a class of time-dependent nonlocal problems	Lanzhou University