PDE Numerical Methods Finite Difference Time Domain method: First order derivative Second order derivative Taylor operator High order Taylor operator Acoustic w. 1D Acoustic w. homogeneous 2D Acoustic w. heterogeneous 2D Acoustic w. homogeneous 3D Optional operator Elastic staggered 1D Advection eq. 1D Advection diffusion reaction Seismometer Pseudospectral method: Finite Element method: Spectral Element method: Finite Volume method: Discontinuous Galerkin method: