Results 71 to 80 of about 4,104,623 (169)
In the paper, the Gagliardo–Nirenberg type inequalities for smoothness spaces Bpqsτ(Tn) of Nikol’skii–Besov type and spaces Fpqsτ(Tn) of Lizorkin–Triebel type both related to Morrey spaces over n-dimensional torus for some range of the parameters s, p ...
Sh.A. Balgimbayeva, A.K. Janabilova
doaj +1 more source
Dimensionality Reduction and Uncertainty Quantification for Inverse Problems [PDF]
Many inverse problems in science and engineering involve multi-experiment data and thus require a large number of forward simulations. Dimensionality reduction techniques aim at reducing the number of forward solves by (randomly) subsampling the data. In
van Leeuwen, Tristan +2 more
core
A detectability criterion and data assimilation for nonlinear differential equations [PDF]
In this paper we propose a new sequential data assimilation method for nonlinear ordinary differential equations with compact state space. The method is designed so that the Lyapunov exponents of the corresponding estimation error dynamics are negative ...
Dep Wiskunde +4 more
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Aspects of random geometric graphs: Pursuit-evasion and treewidth [PDF]
In this thesis, we studied two aspects of random geometric graphs: pursuit-evasion and treewidth. We first studied one pursuit-evasion game: Cops and Robbers. This game, which dates back to 1970s, are studied extensively in recent years.
Li, A. +2 more
core
The probability of connectivity in a hyperbolic model of complex networks [PDF]
We consider a model for complex networks that was introduced by Krioukov et al. (Phys Rev E 82 (2010) 036106). In this model, N points are chosen randomly inside a disk on the hyperbolic plane according to a distorted version of the uniform distribution ...
Fountoulakis, Nikolaos +5 more
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The evolution of a polydisperse ensemble of prolate and oblate ellipsoidal crystals in a supercooled one-component melt is theoretically studied. The volume growth rates for prolate and oblate ellipsoids are analytically found and compared at the same ...
Dmitri V. Alexandrov +4 more
doaj +1 more source
On the structure of λ-Cantor set with overlaps [PDF]
Given λ∈(0,1), let Eλ be the self-similar set generated by the iterated function system (IFS) {x/3,(x+λ)/3,(x+2)/3}. Then Eλ is a self-similar set with overlaps.
Mathematical Modeling +4 more
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A homotopy perturbation method for fractional-order advection-diffusion-reaction boundary-value problems [PDF]
In this paper we describe the application of the homotopy perturbation method (HPM) to two-point boundary-value problems with fractional-order derivatives of Caputo-type.
I. Ateş +5 more
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This paper investigates an inverse problem of recovering the spatial component of a source term for a degenerate ultraslow diffusion equation with a Hadamard–Caputo fractional derivative.
Makhmud Sadybekov, Gulnar Dildabek
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Induced random β-transformation [PDF]
In this article we study the first return map defined on the switch region induced by the greedy and lazy maps. In particular we study the allowable sequences of return times, and when the first return map is a generalised L¨uroth series transformation ...
Mathematical Modeling +6 more
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