High-order entropy stable schemes for special relativistic hydrodynamics

报告人：Huazhong Tang,

摘要：We develop the high-order accurate entropy stable nite difference schemes for one- and two-dimensional special relativistic hydrodynamic equations.

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Construction and analysis of nonlinear finite volume scheme preserving maximum principle on distorted meshes problems

报告人：Zhiqiang Sheng, Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing

摘要：The maximum principle is one of the key requirements to discretization schemes, and can ensure that there is no spurious oscillations for the numerical solution and preserve physical bounds of problem.

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Gentlest Ascent Dynamics

报告人：, Xiang Zhou

摘要：Gentlest Ascent Dynamics (GAD) is the first nonlinear dynamical system locally converging to saddle point.

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Time domain full waveform inversion for velocity and density

报告人：Wensheng Zhang,

摘要：The full waveform inversion is a method for estimating media parameters such as the velocity and density by using the waveform data including traveltime, phase and amplitude observed on surface.

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The numerical methods for a class of nonlinear eigenvalue problem

报告人：Qingzhi Yang, School of Mathematics, Nankai University

摘要：In this talk, we are going to discuss the numerical algorithms for a class of nonlinear eigenvalues, which arises in the Bose-Einstein condensation problem.

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Lovsz extension and graph cut

报告人：Sihong Shao, School of Mathematical Sciences, Peking University

摘要：A firm bridge between discrete data world and continuous math field should be tremendously helpful in data analysis.

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Numerical methods for some nonlinear transport equations in biology

报告人：Zhennan Zhou, Beijing International Center for Mathematical Research

摘要：In the first part, we first introduce a semi-discrete scheme for 2D KellerSegel equations based on a symmetrization reformation, which is equivalent to the convex splitting method and is free of any nonlinear solver.

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Random Batch Methods for Interacting Classical and Quantum Particles

报告人：Shi Jin, School of Mathematical Sciences and Institute of Natural Sciences, Shanghai Jiao Tong University

摘要：We develop random batch methods for interacting particle systems with large number of particles.

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The self-consistent field iteration for the Kohn-Sham equation of inhomogeneous systems

报告人：Xingyu Gao, Institute of Applied Physics and Computational Mathematics

摘要：Solving the Kohn-Sham equation is most computationally demanding in the first-principles calculations.

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Some bifurcation properties of several semilnear PDEs

报告人：Ziqing Xie, LCSM, School of Mathematics and Statistics, Hunan Normal University

摘要：In this talk ,we will discuss some interesting bifurcation properties for several semilinear PDES due to the change of some parameters.

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Min Tang

报告人：Accurate front capturing asymptotic preserving scheme for nonlinear gray radiative transfer equation, Institute of Natural Science and Department of Mathematics, Shanghai Jiao Tong University

摘要：We develop an asymptotic preserving scheme for the nonlinear gray radiative transfer equation.

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A pure source transfer domain decomposition method for Helmholtz equations in unbounded domain

报告人：Haijun Wu, Department of Mathematics, Nanjing University

摘要：Nonlinear Problems: Numerics and Applications

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Invariant preserving discontinuous Galerkin methods for nonlinear wave equations

报告人：Yinhua Xia （夏银华）, School of Mathematical Sciences, USTC

摘要：In this talk, we will present and analyze the invariant preserving discontinuous Galerkin (DG) discretizations for nonlinear wave equations, e.g.

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Two sampling methods using random batches

报告人：Lei Li, Shanghai Jiao Tong university

摘要：I will talk about two sampling methods: a splitting Monte Carlo and the Stein Variational Gradient Descent.

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An Alternating SDP Algorithm for Biclustering

报告人：Weiguo Gao, School of Mathematical Sciences, Fudan University

摘要：We propose a convex model and an alternating SDP algorithm for biclustering which is an extension of the standard clustering.

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Construct the Solution Landscape on a complicated energy landscape

报告人：Lei Zhang, Beijing International Center for Mathematical Research, Peking University

摘要：How do we search for the entire family tree of possible intermediate states, without unwanted random guesses, starting from a stationary state on the energy landscape all the way down to energy minima?

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Higher order structure-preserving numerical schemes for nonlinear time-dependent problems

报告人：Yan Xu, University of Science and Technology of China

摘要：In this talk, we discuss local discontinuous Galerkin (LDG) method for solving the nonlinear equations which contain nonlinear high order deriva- tives.

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Numerical method for random interface Maxwell’s equation

报告人：Kai Zhang, Mathematics School and Institute of Jilin University

摘要：A robust numerical method via the shape derivatives and low-rank approximation is developed for computations of three-dimensional Maxwell’s equations with random interfaces.

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High-order entropy stable schemes for special relativistic hydrodynamics

报告人：Huazhong Tang, School of Mathematical Sciences, Peking University

摘要：The full waveform inversion is a method for estimating media parameters such as the velocity and density by using the waveform data including traveltime, phase and amplitude observed on surface.

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