• Corpus ID: 246275880

A conservative low rank tensor method for the Vlasov dynamics

  title={A conservative low rank tensor method for the Vlasov dynamics},
  author={W. Guo and Jing-Mei Qiu},
  • W. Guo, J. Qiu
  • Published 25 January 2022
  • Computer Science
  • ArXiv
Abstract. In this paper, we propose a conservative low rank tensor method to approximate nonlinear Vlasov solutions. The low rank approach is based on our earlier work [17]. It takes advantage of the fact that the differential operators in the Vlasov equation are tensor friendly, based on which we propose to dynamically and adaptively build up low rank solution basis by adding new basis functions from discretization of the differential equation, and removing basis from a singular value… 
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