54 citations · 150 across the 13 of their papers we have counts for
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math.DS2009★ 54 cited
Turing Instability for a Ratio-Dependent Predator-Prey Model with Diffusion
Shaban Aly, Imbunm Kim, Dongwoo Sheen
Ratio-dependent predator-prey models have been increasingly favored by field ecologists where predator-prey interactions have to be taken into account the process of predation sear…
math.NA2009★ 8 cited
F. John's stability conditions vs. A. Carasso's SECB constraint for backward parabolic problems
Jinwoo Lee, Dongwoo Sheen
In order to solve backward parabolic problems F. John [{\it Comm. Pure. Appl. Math.} (1960)] introduced the two constraints "" and where …
q-fin.CP2009
Laplace transformation method for the Black-Scholes equation
Hyoseop Lee, Dongwoo Sheen
In this paper we apply the innovative Laplace transformation method introduced by Sheen, Sloan, and Thomée (IMA J. Numer. Anal., 2003) to solve the Black-Scholes equation. The algo…