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[00614] Sparse spectral methods for fractional PDEs

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G701
  • Type : Contributed Talk
  • Abstract : Fractional partial differential equations model nonlocal processes such as wave absorption in the brain, long-range geophysical effects, and Lévy flights. We introduce a spectral method for the fractional Laplacian in one dimension that induces sparse linear systems. We only deal with the coefficients of the expansion and thus time-stepping is fast. We consider a number of examples including the fractional heat and fractional wave propagation equations.
  • Classification : 35R11, 65N35, 65M70, 65R10, Numerical Analysis, Nonlocal PDEs
  • Format : Talk at Waseda University
  • Author(s) :
    • Ioannis P. A. Papadopoulos (Imperial College London)