Finite difference methods have become a cornerstone in the simulation of seismic wave propagation, providing a robust numerical framework to approximate the differential equations that govern seismic ...

Finite-Difference Time-Domain (FDTD) methods have long served as a workhorse for simulating electromagnetic wave propagation. In dispersive media, where material responses vary with frequency, the ...

SIAM Journal on Numerical Analysis, Vol. 34, No. 6 (Dec., 1997), pp. 2306-2318 (13 pages) We are interested in the rate of convergence in L 1 of the approximate solution of a conservation law ...

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Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...