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Computational modeling could improve how scientists and planners understand and prepare for natural disasters on our coasts ...
We present a collection of stability results for finite difference approximations to the advection-diffusion equation ut = aux + buxx. The results are for centered difference schemes in space and ...
SIAM Journal on Numerical Analysis, Vol. 49, No. 3/4 (2011), pp. 945-969 (25 pages) We present an unconditionally energy stable finite difference scheme for the Modified Phase Field Crystal equation, ...