Results 41 to 50 of about 377,631 (158)
Positivity-preserving scheme for two-dimensional advection-diffusion equations including mixed derivatives [PDF]
, 2018 In this work, we propose a positivity-preserving scheme for solving two-dimensional advection-diffusion equations including mixed derivative terms, in order to improve the accuracy of lower-order methods.
Vann, Roderick G L +5 more
core +1 more source
Privacy-Preserving Horizontally Partitioned Linear Programs
, 2010 We propose a simple privacy-preserving reformulation of a linear program whose equality constraint matrix is partitioned into groups of rows. Each group of matrix rows and its corresponding right hand side vector are owned by a distinct private entity ...
Olvi L. Mangasarian, Mangasarian, Olvi
core +1 more source
Finite element approximation of a nonlinear cross-diffusion population model [PDF]
, 2003 We consider a fully discrete finite element approximation of the nonlinear cross-diffusion population model: Find u i, the population of the ith species, i = 1 and 2, such that ∂ui ∂t −Δ [ ci ui + ai u2i + ui uj] − bi ∇.
John W. Barrett +6 more
core +1 more source
A positivity preserving and oscillation-free entropy stable discontinuous Galerkin scheme for the reactive Euler equations [PDF]
The reactive Euler equations are a basic model for fluid flows with chemical reactions. In this work, we construct a high order positivity preserving and oscillation-free entropy stable discontinuous Galerkin (DG) scheme for the reactive Euler equations.
Zhao, Weifeng, Lin, Ping, Zuo, Hujian
core +1 more source
, 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
core +1 more source
, 2011 In this paper we develop high order positivity-preserving finite volume weighted essentially non-oscillatory (WENO) schemes for solving a hierarchical size-structured population model with nonlinear growth, mortality and reproduction rates.
Shu, Chi-Wang +5 more
core +1 more source
A Positivity-Preserving Finite Volume Scheme for Nonequilibrium Radiation Diffusion Equations on Distorted Meshes. [PDF]
Entropy (Basel), 2022 Yang D, Peng G, Gao Z.
europepmc +1 more source
Positivity Preserving Gradient Approximation with Linear Finite Elements [PDF]
Computational Methods in Applied Mathematics, 2018 Abstract Preserving positivity precludes that linear operators onto continuous piecewise affine functions provide near best approximations of gradients. Linear interpolation thus does not capture the approximation properties of positive continuous piecewise affine functions.
openaire +1 more source
, 2020 The Poisson-Nernst-Planck (PNP) system is a widely accepted model for simulation of ionic channels. In this paper, we design, analyze, and numerically validate a second order unconditional positivity-preserving scheme for solving a reduced PNP system ...
Maimaitiyiming, Wumaier, Liu, Hailiang
core +1 more source
On positivity preserving finite volume schemes for compressible Euler equations
, 1993 Positivity preserving property of first and higher order finite volume schemes for one and two dimensional compressible Euler equations of gas dynamics is considered.
Shu, Chi-Wang, Perthame, Benoit
core