The generalized local maximum principle for a difference operator $L_h$ asserts that if $L_hu(x) > 0$ then $\Gamma u$ cannot attain its positive maximum at the net ...
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 ...
SIAM Journal on Numerical Analysis, Vol. 25, No. 6 (Dec., 1988), pp. 1272-1278 (7 pages) A new condition is shown to be equivalent to the other conditions of the Kreiss Matrix Theorem for power ...
This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...
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