Efficient SAV--Hermite methods for the nonlinear Dirac Equation 

报告学者:于哲

报告者单位:哈尔滨工业大学(深圳)

报告时间:2025/07/05  17:10-17:35

报告地点:红果园三层多功能厅

Abstract: We construct two SAV/CN–Hermite schemes for one and two dimensional nonlinear Dirac equation in this paper. Both SAV/CN methods preserve the energy and mass and an efficient and accurate scheme is proposed by Hermite approximation. The numerical analysis of error estimates is established on SAV/CN scheme. Numerical experiments confirm the expected convergence order. In addition, they are given to show the simulations of binary and ternary collisions. 

报告学者简介:于哲,哈尔滨工业大学(深圳)理学院讲师。2021年3月博士毕业于哈尔滨工业大学,研究方向为偏微分方程高精度数值算法。在ANM, MMAS, DCDS-B等杂志发表论文5篇。目前,主持1项广东省基础与应用基础研究基金粤深联合基金·青年基金项目,1项深圳市优秀科技创新人才培养项目·博士启动项目。