Results 41 to 50 of about 7,957,612 (305)
Mass-Preserving Approximation of a Chemotaxis Multi-Domain Transmission Model for Microfluidic Chips
Mathematics, 2021 The present work is inspired by the recent developments in laboratory experiments made on chips, where the culturing of multiple cell species was possible.
Elishan Christian Braun +2 more
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Journal of Computational Physics, 2022 There have been intensive studies on maximum-principle-satisfying and positivity-preserving methods for hyperbolic conservation laws. Most of them are based on the method of lines type time marching approaches, e.g.
Ziyao Xu, Chi-Wang Shu
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Positivity-preserving third order DG schemes for Poisson--Nernst--Planck equations [PDF]
Journal of Computational Physics, 2021 In this paper, we design and analyze third order positivity-preserving discontinuous Galerkin (DG) schemes for solving the time-dependent system of Poisson--Nernst--Planck (PNP) equations, which has found much use in diverse applications.
Hailiang Liu +3 more
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A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system [PDF]
Mathematics of Computation, 2020 In this paper we propose and analyze a finite difference numerical scheme for the Poisson-Nernst-Planck equation (PNP) system. To understand the energy structure of the PNP model, we make use of the Energetic Variational Approach (EnVarA), so that the ...
Chun Liu +4 more
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Positivity preserving finite element approximation [PDF]
Mathematics of Computation, 2001 We consider finite element operators defined on “rough” functions in a bounded polyhedron Ω \Omega
Ricardo H. Nochetto, Lars B. Wahlbin
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Positivity Preserving Interpolation Using Rational Bicubic Spline
Journal of Applied Mathematics, 2015 This paper discusses the positivity preserving interpolation for positive surfaces data by extending the C1 rational cubic spline interpolant of Karim and Kong to the bivariate cases. The partially blended rational bicubic spline has 12 parameters in the
Samsul Ariffin Abdul Karim +2 more
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Discrete Dynamics in Nature and Society, 2021 In this study, we present an unconditionally stable positivity-preserving numerical method for the Fisher–Kolmogorov–Petrovsky–Piskunov (Fisher–KPP) equation in the one-dimensional space. The Fisher–KPP equation is a reaction-diffusion system that can be
Sangkwon Kim +8 more
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Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme
Mathematics, 2020 In this paper, we analyze shape-preserving behavior of a relaxed four-point binary interpolating subdivision scheme. These shape-preserving properties include positivity-preserving, monotonicity-preserving and convexity-preserving.
Pakeeza Ashraf +5 more
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Representation and Approximation of Positivity Preservers [PDF]
Journal of Geometric Analysis, 2010 17 ...
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Shape-Preservation of the Four-Point Ternary Interpolating Non-stationary Subdivision Scheme
Frontiers in Physics, 2020 In this paper, we present the shape-preserving properties of the four-point ternary non-stationary interpolating subdivision scheme (the four-point scheme). This scheme involves a tension parameter.
Pakeeza Ashraf +4 more
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