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[00617] Low-regularity exponential-type integrators for the Zakharov system under rough data

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @E703
  • Type : Contributed Talk
  • Abstract : Two low-regularity exponential-type integrators (LREIs) are proposed and analyzed for the Zakharov system (ZS), including a first-order integrator and a second-order one. To my knowledge, it is the first time to propose such LREIs that achieve the first- and second-order accuracy by requiring one or two additional derivatives for the solutions of ZS, respectively. Numerical comparison with other methods demonstrates the superiority of the newly proposed LREIs for rough data.
  • Classification : 65M70, 65M12, 65M15, 65T50
  • Format : Talk at Waseda University
  • Author(s) :
    • Hang Li (Tsinghua University )
    • Chunmei Su (Tsinghua University)