A Positivity-Preserving Finite Volume Scheme for Nonequilibrium Radiation Diffusion Equations on Distorted Meshes. [PDF]
Entropy (Basel), 2022 In this paper, we propose a new positivity-preserving finite volume scheme with fixed stencils for the nonequilibrium radiation diffusion equations on distorted meshes.
Yang D, Peng G, Gao Z.
europepmc +3 more sources
Positivity Preserving Interpolation Using Rational Bicubic Spline [PDF]
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
Kong Voon Pang +2 more
core +2 more sources
Positivity-Preserving Hybridizable Discontinuous Galerkin Scheme for Solving PNP Model. [PDF]
Entropy (Basel)We introduce a hybridizable discontinuous Galerkin (HDG) scheme for solving the Poisson–Nernst–Planck (PNP) equations. The log-density formulation as introduced by Metti et al. in their paper “Energetically stable discretizations for charge transport and
Morales D, Xu Z.
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Positivity-Preserving Consensus of Homogeneous Multiagent Systems
IEEE Transactions on Automatic Control, 2020 This note deals with the positivity-preserving consensus problem for undirected positive multiagent systems. The case that all agents have identical positive state-space models with multiple inputs is investigated.
Jason J R Liu, James Lam, Zhan Shu
exaly +2 more sources
Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations [PDF]
SIAM Journal of Scientific Computing, 2019 Currently, nearly all positivity preserving discontinuous Galerkin (DG) discretizations of partial differential equations are coupled with explicit time integration methods.
J J W Van Der Vegt, Yinhua Xia, Yan Xu
exaly +2 more sources
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
Chaeyoung Lee +8 more
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Stability analysis and numerical simulation of nonlocal extended epidemic models using positivity-preserving scheme. [PDF]
Sci RepIn this paper we introduce a robust numerical framework for simulating the nonlocal extended epidemic models that incorporate the fractional diffusion to capture the complex spatial–temporal dynamics of disease spread. The presented numerical scheme uses
Yousuf M, Alshakhoury N.
europepmc +2 more sources
THE SLICE BALANCE APPROACH USING AN ADAPTIVE-WEIGHTED CLOSURE [PDF]
EPJ Web of Conferences, 2021 In this paper, we present a formulation of the slice balance approach using a nonlinear closure relation derived analogously from the adaptive-weighted diamond-difference form of the weighted diamond-difference method for Cartesian grids.
Hackemack Michael W.
doaj +1 more source
Qualitatively Stable Schemes for the Black–Scholes Equation
Fractal and Fractional, 2023 In this paper, the Black–Scholes equation is solved using a new technique. This scheme is derived by combining the Laplace transform method and the nonstandard finite difference (NSFD) strategy. The qualitative properties of the method are discussed, and
Mohammad Mehdizadeh Khalsaraei +5 more
doaj +1 more source
Positivity preserving high order schemes for angiogenesis models
, 2022 Hypoxy induced angiogenesis processes can be described by coupling an integrodifferential kinetic equation of Fokker–Planck type with a diffusion equation for the angiogenic factor.
Cebrián, Elena +1 more
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