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[00728] Descriptions of distribution function and hyperfunction using discretization

  • Session Time & Room : 1E (Aug.21, 17:40-19:20) @G401
  • Type : Contributed Talk
  • Abstract : Nonlinear systems with singular solutions, such as vortices and vortex sequences, can be mathematically described using the distribution function (δ function). However, it is difficult to numerically analyze the singular solution. In this study, we have considered approaches to discretize the distribution function and discussed the usefulness of introducing it into numerical analysis. Furthermore, we have carried out some examples of applications to discrete distribution functions and Sato’s hyperfunction. 
  • Classification : 32A45, 46F15, 46F30, 46T30, 65E05
  • Format : Talk at Waseda University
  • Author(s) :
    • Yuya Taki (Graduate School of Science and Engineering, SOKA University)
    • Yoshio Ishii (Faculty of Science and Engineering, SOKA University)