报告题目：Uniformly accurate methods for Vlasov equations in strong magnetic field regime
摘要：I will present the work on 2D/3D Vlasov equation with non-homogeneous strong magnetic field. The problem has highly oscillatory characteristics with solution dependent frequency. In 2D case, benefited from a confinement property, we derived a suitable formulation of the characteristics and then proposed a two-scale integrator under the Particle-In-Cell discrestization. The proposed method has uniform accuracy in terms of the magnetic field and preserves the confinement in the discrete level. In 3D, we apply the Rodrigues’ rotation formula. Uniformly accurate methods are obtained in either the linear case or the nonlinear case but with magnetic field of fixed intensity.
个人介绍：赵晓飞，武汉大学数学与统计学院、湖北国家应用数学中心教授、博导，担任湖北省工业与应用数学会常务理事，从事计算数学与应用数学方面的研究。2010年北京师范大学本科毕业，2014年新加坡国立大学博士毕业，2015-2018在法国国家信息与自动化研究院做博后，2019年初加入武大，科研兴趣主要为色散和动力学类方程的计算方法和误差分析。曾获国家青年人才项目支持，近5年主持国家自然科学基金青年和面上项目，参与科技部重点研发项目一项，并承接多项横向课题研发。
