Results 11 to 20 of about 547,947 (201)
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
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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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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Preserving positivity for rank-constrained matrices [PDF]
, 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
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The $L^\infty$-positivity preserving property and stochastic completeness [PDF]
, 2021 We say that a Riemannian manifold satisfies the $L^p$-positivity preserving property if $(-\Delta + 1)u\ge 0$ 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 ...
Bisterzo, Andrea, Marini, Ludovico
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Positivity-preserving methods for population models
CoRR, 2021 Many important applications are modelled by differential equations with positive solutions. However, it remains an outstanding open problem to develop numerical methods that are both (i) of a high order of accuracy and (ii) capable of preserving positivity.
Sergio Blanes +2 more
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A positivity-preserving scheme for fluctuating hydrodynamics
Journal of Computational Physics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesco Magaletti +4 more
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Positivity-preserving adaptive Runge–Kutta methods [PDF]
Communications in Applied Mathematics and Computational Science, 2021 Many important differential equations model quantities whose value must remain positive or stay in some bounded interval. These bounds may not be preserved when the model is solved numerically. We propose to ensure positivity or other bounds by applying Runge-Kutta integration in which the method weights are adapted in order to enforce the bounds.
Stephan Nüßlein +2 more
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Numerical solution of a malignant invasion model using some finite difference methods
Demonstratio Mathematica, 2023 In this article, one standard and four nonstandard finite difference methods are used to solve a cross-diffusion malignant invasion model. The model consists of a system of nonlinear coupled partial differential equations (PDEs) subject to specified ...
Appadu Appanah Rao +1 more
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Positivity-preserving methods for ordinary differential equations [PDF]
, 2022 Many important applications are modelled by differential equations with positive solutions. However, it remains an outstanding open problem to develop numerical methods that are both (i) of a high order of accuracy and (ii) capable of preserving ...
Iserles, A +8 more
core +1 more source