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SS109: Multiscale Methods for Highly Oscillatory Partial Differential Equations

Organizer(s):
Name:	Affiliation:	Country:
Qinglin TANG	National University of Singapore	Singapore
Yongyong CAI	Beijing Computational Science Research Center	Peoples Rep of China
Weizhu BAO	National University of Singapore	Singapore

Abstract:
Partial differential equations with highly oscillatory solutions arise in vast areas of science and engineering, such as quantum mechanics, plasma physics and acoustics, with important applications in semiconductors and low-temperature physics. These equations bring great challenges to both mathematical analysis and numerical simulations. This session aims to bring together prominent international experts who have been active in this field to share their ideas and experiences. Emphasis is placed on reviewing, developoing and promoting interdisciplinary researches on the multi-scale methods and beyond for higly osillatory systems, including Schrodinger-type equation, Dirac equation, Klein-Gordon equation, Zakharov system, etc.

List of approved abstract
Name	Affiliation	Title
Weizhu Bao	National University of Singapore	Multiscale methods and analysis for the Dirac equation in the nonrelativistic limit regime
Christophe Besse	Universite de Toulouse	Transparent boundary conditions for dispersive PDEs
Yongyong Cai	Beijing CSRC	Numerical methods for the Zakharov system
Philippe Chartier	INRIA	A generic technique for constructing uniformly accurate methods for oscillating evolution equations
Romain Duboscq	Institut de Mathematiques de Toulouse	On the nonlinear Schrodinger equation with white noise dispersion
Yong Lu	Nanjing University	Non-relativistic limit of Klein-Gordon equations and stability analysis in geometric optics
Qinglin Tang	SiChuan University	Computing ground states of spin 2 Bose--Einstein condensates by the normalized gradient flow
Shu Wang	Beijing University of Technology	Quasineutral Limit of Drift-diffusion Models for Semiconductors and the Related Models
Yong ZHANG	University of Vienna	CONVERGENCE OF MULTI-REVOLUTION COMPOSITION TIME-SPLITTING METHODS FOR HIGHLY OSCILLATORY DIFFERENTIAL EQUATIONS OF SCHRODINGER TYPE
Zhennan Zhou	Peking University	The Gaussian wave packets transform for the semi-classical Schr\\odinger equation with vector potentials