106 citations · 119 across the 4 of their papers we have counts for
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Stability of a numerical scheme for methane transport in hydrate zone under equilibrium and non-equilibrium conditions
Malgorzata Peszynska, Choah Shin
In this paper we carry out numerical analysis for a family of simplified gas transport models with hydrate formation and dissociation in subsurface, in equilibrium and non-equilibr…
Approximation of Hysteresis Functional
Malgorzata Peszynska, Ralph E. Showalter
We develop a practical discrete model of hysteresis based on nonlinear play and generalized play, for use in first-order conservation laws with applications to adsorption-desorptio…
Numerical Analysis of a Parabolic Variational Inequality System Modeling Biofilm Growth at the Porescale
Azhar Alhammali, Malgorzata Peszynska
In this paper we consider a system of two coupled nonlinear diffusion--reaction partial differential equations (PDEs) which model the growth of biofilm and consumption of the nutri…
Stability for implicit-explicit schemes for non-equilibrium kinetic systems in weighted spaces with symmetrization
F. Patricia Medina, Malgorzata Peszynska
We consider kinetic systems and prove their stability working in weighted spaces in which the systems are symmetric. We prove stability for various explicit and implicit semi-discr…