Results 1 to 10 of about 706 (105)
Linearly Stratified Models for the Foundations of Nonstandard Mathematics [PDF]
Mathematical Logic Quarterly, 1998 AbstractAssuming the existence of an inaccessible cardinal, transitive full models of the whole set theory, equipped with a linearly valued rank function, are constructed. Such models provide a global framework for nonstandard mathematics.
Mauro Di Nasso
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An unconditionally stable nonstandard finite difference method to solve a mathematical model describing Visceral Leishmaniasis [PDF]
Mathematics and Computers in Simulation, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elias M. Adamu +2 more
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Nonstandard Mathematical Model for Fatigue Failure [PDF]
Advanced Engineering Forum, 2015 Tests performed under simulated regime, use simulating tools with different structures and often have a corresponding physical test to complete certain conclusions in order to explain complex phenomena that are difficult, impossible, or very costly to run physically.
Petru Cardei +5 more
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Mathematics and Computers in Simulation, 2021 [EN]In this paper, a nonstandard explicit discretization strategy is considered to construct a new nonstandard finite difference scheme for solving a mathematical model of the influenza disease. The new proposed scheme has some interesting properties such as high accuracy and ease of implementation, as well as some preserving properties of the exact ...
Mohammad Mehdizadeh Khalsaraei +3 more
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Vopěnkova Alternativní teorie množin v matematickém kánonu 20. století
Filosofický časopis, 2022 Vopěnka’s Alternative Set Theory can be viewed both as an evolution and as a revolution: it is based on his previous experience with nonstandard universes, inspired by Skolem’s construction of a nonstandard model of arithmetic, and its inception has been
Haniková, Zuzana
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An improvement of two nonstandard finite difference schemes for two population mathematical models
Journal of Difference Equations and Applications, 2021 The aim of this paper is to design appropriate nonstandard finite difference (NSFD) schemes for two population mathematical models based on coupled nonlinear ordinary differential equations. Our work clarifies existing constructions of NSFD schemes for these two population models, which are not in full compliance with Mickens' methodology.
Julia Calatayud, Marc Jornet
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An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection [PDF]
International Journal of Applied Mathematics and Computer Science, 2013 We formulate and analyze an unconditionally stable nonstandard finite difference method for a mathematical model of HIV transmission dynamics. The dynamics of this model are studied using the qualitative theory of dynamical systems. These qualitative features of the continuous model are preserved by the numerical method that we propose in this paper ...
Hasim A. Obaid +2 more
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Nonstandard discrete approximationspreserving stability properties of continuous mathematical models
Mathematical and Computer Modelling, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francisco Javier Solís +1 more
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Results in Physics, 2021 Mathematical modeling with nonlinear delay differential equations (DDES) impart a significant role in the different disciplines such as epidemiology, computer modeling, immunology, physiology, neural networks, social sciences, bio-medical engineering, and many more.
Ali Raza +6 more
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Malaysian Journal of Mathematical Sciences, 2022 This paper proposes a novel nonlinear fractional-order pandemic model with Caputo derivative for corona virus disease. A nonstandard finite difference (NSFD) approach is presented to solve this model numerically. This strategy preserves some of the most significant physical properties of the solution such as non-negativity, boundedness and stability or
Raza, N., Tunc, C., Bakar, A., Khan, A.
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