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On the nonstandard finite difference method for reaction–diffusion models
Chaos, Solitons and Fractals, 2023Syed Ahmed Pasha +2 more
exaly
Hyperordinals and nonstandard alpha-models
1996In this paper we extend the traditional set-theoretic notion of standard models and nonstandard models going up to alpha levels in the cumulative hierarchy, alpha any given limit ordinal. A proof of the representation theorem is given and the structure of nonstandard models is studied where the "transfer principle" holds for every (not necessarily ...
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Recent developments in problems with nonstandard growth and nonuniform ellipticity
Journal of Mathematical Analysis and Applications, 2021Giuseppe Mingione +1 more
exaly
Seven nonstandard models coupling quantum matter and gravity
AVS Quantum Science, 2022Sandro Donadi, Angelo Bassi
exaly
Constructive Nonstandard Models for Peano Arithmetic
This paper explores the notion of constructive nonstandard models for Peano Arithmetic (PA). While classical model theory provides a rich landscape of nonstandard models, their existence often relies on non-constructive principles such as the Axiom of Choice or the Compactness Theorem.openaire +1 more source

