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math.NA2017★ 1 cited
A Comparison Study of Two High Accuracy Numerical Methods for a Parabolic System in Air Pollution Modelling
Ivan Dimov, Juri Kandilarov, Venelin Todorov +1
We present two approaches for enhancing the accuracy of second order finite difference approximations of two-dimensional semilinear parabolic systems. These are the fourth order co…
math.NA2014★ 2 cited
A Positive Flux Limited Difference Scheme for Option Pricing 2D Fully Non-linear Parabolic Equation with Uncertain Correlation
Miglena N. Koleva, Lubin G. Vulkov
We consider a two-asset non-linear model of option pricing in an environment where the correlation is not known precisely, but varies between two known values. First we discuss the…