We propose energy-conserving numerical schemes for the Vlasov-type  systems. Those equations are fundamental models in the simulation of plasma  physics. The total energy is an important physical quantity that is conserved  by those models. Our methods are the first Eulerian solver that can  preserve fully discrete total energy conservation. The main features of our  methods include energy-conservative temporal and spatial discretization. In particular, an energy-conserving operator splitting is proposed to  enable efficient calculation of fully implicit methods. We validate our  schemes by rigorous derivations and benchmark numerical examples.

仲杏慧于2007年获中国科学技术大学学士学位，2012年获美国布朗大学博士学位，之后分别在密歇根州立大学和犹他大学从事博士后研究工作。现任浙江大学百人计划研究员、博士生导师。研究方向为数值分析，科学计算，不确定性量化等领域，主要研究工作包括间断有限元方法的算法设计及其分析、动力学传输方程的数值模拟及其在等离子体物理中的应用、不确定量化及随机计算算法及应用等方面。