Results 11 to 20 of about 548,121 (295)

The $L^{\infty }$-positivity Preserving Property and Stochastic Completeness [PDF]

open access: yesPotential Analysis, 2022
We say that a Riemannian manifold satisfies the $L^p$-positivity preserving property if $(-Δ+ 1)u\ge 0$ in a distributional sense implies $u \ge 0$ for all $ u \in L^p$.While geodesic completeness of the manifold at hand ensures the $L^p$-positivity preserving property for all $p \in (1, +\infty)$, when $p = + \infty$ some assumptions are needed.
Bisterzo, A, Marini, L
openaire   +4 more sources

An Unconditionally Stable Positivity-Preserving Scheme for the One-Dimensional Fisher–Kolmogorov–Petrovsky–Piskunov Equation

open access: yesDiscrete 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
doaj   +2 more sources

Symmetric Positivity Preserving Balanced Truncation [PDF]

open access: yesPAMM, 2012
AbstractWe consider positivity preserving model order reduction of SISO linear systems. Whereas well‐established model reduction methods usually do not result in a positive approximation, we show that a symmetry characterization of balanced truncation can be used to preserve positivity after performing balanced truncation.
Christian Grußler, Tobias Damm
openaire   +3 more sources

Positivity preserving high order schemes for angiogenesis models

open access: yes, 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
core   +2 more sources

Preserving positivity for rank-constrained matrices [PDF]

open access: yes, 2017
Entrywise functions preserving the cone of positive semidefinite matrices have been studied by many authors, most notably by Schoenberg [Duke Math. J. 9] and Rudin [Duke Math. J. 26].
Khare, Apoorva   +2 more
core   +2 more sources

A positivity-preserving scheme for fluctuating hydrodynamics

open access: yesJournal of Computational Physics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesco Magaletti   +4 more
openaire   +3 more sources

Construction of C1 Rational Bi-Quartic Spline With Positivity-Preserving Interpolation: Numerical Results and Analysis

open access: yesFrontiers in Physics, 2021
From the observed datasets, we should be able to produce curve surfaces that have the same characteristics as the original datasets. For instance, if the given data are positive, then the resulting curve or surface must be positive on entire given ...
Samsul Ariffin Abdul Karim   +2 more
doaj   +1 more source

Positivity preserving finite element approximation [PDF]

open access: yesMathematics of Computation, 2001
We consider finite element operators defined on “rough” functions in a bounded polyhedron Ω \Omega
Ricardo H. Nochetto, Lars B. Wahlbin
openaire   +2 more sources

Mass-Preserving Approximation of a Chemotaxis Multi-Domain Transmission Model for Microfluidic Chips

open access: yesMathematics, 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
doaj   +1 more source

Monotonicity-preserving splitting schemes for solving balance laws [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2021
In this paper, some monotonicity-preserving (MP) and positivity-preserving (PP) splitting methods for solving the balance laws of the reaction and diffusion source terms are investigated.
F. Khodadosti, J. Farzi, M.M. Khalsaraei
doaj   +1 more source

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