[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.
