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09/02/2023
Multiscale Modeling with Differential Equations
Many physical systems are governed by ordinary or partial differential e...
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07/31/2023
Self-regulated biological transportation structures with general entropy dissipations, part I: the 1D case
We study self-regulating processes modeling biological transportation ne...
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07/26/2023
Time multiscale modeling of sorption kinetics I: uniformly accurate schemes for highly oscillatory advection-diffusion equation
In this paper we propose a numerical method to solve a 2D advection-diff...
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03/19/2023
Finite element discretization of a biological network formation system: a preliminary study
A finite element discretization is developed for the Cai-Hu model, descr...
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01/30/2023
Asymmetry and condition number of an elliptic-parabolic system for biological network formation
We present results of numerical simulations of the tensor-valued ellipti...
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09/17/2022
Comparison of two aspects of a PDE model for biological network formation
We compare the solutions of two systems of partial differential equation...
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06/06/2022
A finite-difference ghost-point multigrid method for multi-scale modelling of sorption kinetics of a surfactant past an oscillating bubble
We propose a method for the numerical solution of a multiscale model des...
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02/05/2022
Multiscale Modeling of Sorption Kinetics
In this paper we propose and validate a multiscale model for the descrip...
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02/03/2022