نتایج جستجو برای: nonstandard finite differences

تعداد نتایج: 852860  

Journal: :SIAM J. Numerical Analysis 2010
Kun Zhou Qiang Du

In this paper, we study the linear bond-based nonlocal peridynamic models with a particular focus on problems associated with nonstandard nonlocal displacement loading conditions. Both stationary and time-dependent problems are considered for a one-dimensional scalar equation defined on a finite bar and for a two-dimensional system defined on a square. The related peridynamic operators and asso...

Journal: :Journal of the Egyptian Mathematical Society 2017

2009
LARS BRÜNJES CHRISTIAN SERPÉ

This paper is about the question whether a cycle in the l-adic cohomology of a smooth projective variety over Q, which is algebraic over almost all finite fields Fp, is also algebraic over Q. We use ultraproducts respectively nonstandard techniques in the sense of A. Robinson, which the authors applied systematically to algebraic geometry in [BS07] and [BS08]. We give a reformulation of the que...

Journal: :Bulletin of Symbolic Logic 1997
Jeremy Avigad Richard Sommer

We describe a model-theoretic approach to ordinal analysis via the finite combinatorial notion of an α-large set of natural numbers. In contrast to syntactic approaches that use cut elimination, this approach involves constructing finite sets of numbers with combinatorial properties that, in nonstandard instances, give rise to models of the theory being analyzed. This method is applied to obtai...

2014
Anand Pillay

In this note we point out that any strongly minimal pseudofinite structure (or set) is unimodular in the sense of [1], [5], [2], and hence measurable in the sense of Macpherson and Steinhorn [3], [2] as well as 1-based. The argument, involving nonstandard finite cardinalities, is straightforward. A few people asked about this issue in private conversations and communications, in particular Mart...

Journal: :Fractal and fractional 2023

A nonlinear mathematical model of COVID-19 containing asymptomatic as well symptomatic classes infected individuals is considered and examined in the current paper. The largest eigenvalue next-generation matrix known reproductive number obtained for model, serves an epidemic indicator. To better understand dynamic behavior continuous unconditionally stable nonstandard finite difference (NSFD) s...

2011
GILBERTO GONZÁLEZ-PARRA Gilberto Gonzalez-Parra Rafael J. Villanueva Abraham J. Arenas

This paper is concerned with the construction and developing of several nonstandard finite difference (NSFD) schemes in matrix form in order to obtain numerical solutions of epidemic models. In particular, we deal with a classical SIR epidemic model and a seasonal model associated with the evolution of the transmission of respiratory syncytial virus RSV in the human population. The first model ...

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