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Efficient numerical simulations based on an explicit group approach for the time fractional advection–diffusion reaction equation
The time-fractional advection–diffusion reaction equation (TFADRE) is a fundamental mathematical model because of its key role in describing various...
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An explicit example of an iteration group in the ring of formal power series
We give an example of some iteration group in a ring of formal power series over a field of characteristic 0. It allows us to obtain an explicit...
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Explicit Generators of the Centre of the Quantum Group
A finite generating set of the centre of any quantum group is obtained, where the generators are given by an explicit formulae. For the slightly...
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Numerical Solution of Two-Dimensional Time Fractional Mobile/Immobile Equation Using Explicit Group Methods
In this paper, we shall present the development of two explicit group schemes, namely, fractional explicit group (FEG) and modified fractional...
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Maximal Tori in Infinite-Dimensional Hamiltonian Systems: a Renormalisation Group Approach
We study the existence of infinite-dimensional invariant tori in a mechanical system of infinitely many rotators weakly interacting with each...
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Explicit Interpolation-Based CFD Mesh Morphing
This paper describes mesh morphing methodology based on explicit interpolation. The method handles large displacements while maintaining high mesh...
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A Group-Theoretic Approach to the Bifurcation Analysis of Spatial Cosserat-Rod Frameworks with Symmetry
We present a general approach to the bifurcation analysis of spatial framework structures with symmetry. While group-theoretic methods for...
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Centrality of K2 for Chevalley groups: a pro-group approach
We prove the centrality of K 2 (F 4 , R ) for an arbitrary commutative ring R . This completes the proof of the centrality of K 2 (Φ, R ) for any root system...
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Time scale theory on stability of explicit and implicit discrete epidemic models: applications to Swine flu outbreak
Time scales theory has been in use since the 1980s with many applications. Only very recently, it has been used to describe within-host and...
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Explicit two-cover descent for genus 2 curves
Given a genus 2 curve C with a rational Weierstrass point defined over a number field, we construct a family of genus 5 curves that realize descent...
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Explicit Kronecker–Weyl theorems and applications to prime number races
We prove explicit versions of the Kronecker–Weyl theorems, both in a discrete and a continuous settings, without any linear independence hypothesis....
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A group theoretic approach to model comparison with simplicial representations
The complexity of biological systems, and the increasingly large amount of associated experimental data, necessitates that we develop mathematical...
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Group Fairness
Assessing whether a model is discriminatory, or not, is a complex problem. As in Chap. 3 , where we...
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Discovering Explicit Scale-Up Criteria in Crisis Response with Decision Mining
In modern society, incidents such as road incidents or fires, occur daily, requiring institutions to develop appropriate management protocols to...
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Differential Calculi in Group Algebras and Group Ends
AbstractGraphs generalizing Cayley graphs and arising from various actions of groups on themselves are studied. A relationship between such graphs...
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A DC programming approach for solving a centralized group key management problem
A single trusted entity known as a Key Server is in charge of key generation, distribution, and management in centralized key management schemes. To...
