Results 21 to 30 of about 15,388 (303)
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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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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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
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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
doaj +1 more source
Monotonicity-preserving splitting schemes for solving balance laws [PDF]
Iranian 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
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
doaj +1 more source
Bounded real lemmas for positive descriptor systems [PDF]
, 2015 A well known result in the theory of linear positive systems is the existence of positive definite diagonal matrix (PDDM) solutions to some well known linear matrix inequalities (LMIs).
Yan, Xinggang +3 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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Preserving positivity for rank-constrained matrices
, 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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Representation and Approximation of Positivity Preservers [PDF]
Journal of Geometric Analysis, 2010 17 ...
openaire +3 more sources