A note on the polynomial approximation of vertex singularities in the boundary element method in three dimensions [PDF]
, 2008 We study polynomial approximations of vertex singularities of the type $r^\lambda |\log r|^\beta$ on three-dimensional surfaces. The analysis focuses on the case when $\lambda > -\frac 12$.
Bespalov, A
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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
, 2013 The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
Reese, Jason M. +6 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 The possibility of constructing a full-parametric analytical solution of the stress-strain state problem for the body caused by the influence of volumetric forces is studied.
Viktor Borisovich Pen'kov +2 more
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Linear stationary iterative methods for the force-based quasicontinuum approximation [PDF]
, 2012 Force-based multiphysics coupling methods have become popular since they provide a simple and efficient coupling mechanism, avoiding the difficulties in formulating and implementing a consistent coupling energy.
Luskin, Mitchell Barry +1 more
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The spectrum of the force-based quasicontinuum operator for a homogeneous periodic chain [PDF]
, 2012 We show under general conditions that the linearized force-based quasicontinuum (QCF) operator has a real, positive spectrum. The spectrum is identical to that of the quasinonlocal quasicontinuum (QNL) operator in the case of second-neighbor interactions.
Ortner, C. +4 more
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Homogeneous Approximation of One- Dimensional Series of Iterated Integrals and Time Optimality [PDF]
, 2023 In the paper we consider nonlinear systems depending linearly on control with one-dimensional output. As is well known, under the analyticity requirement, the output can be expressed as a series of iterated integrals of controls with scalar coefficients.
Andreieva, Daria M.; Department of Applied Mathematics, V. N. Karazin Kharkiv National University +1 more
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Metric Diophantine approximation on homogeneous varieties [PDF]
, 2014 We develop the metric theory of Diophantine approximation on homogeneous varieties of semisimple algebraic groups and prove results analogous to the classical Khinchin and Jarnik theorems. In full generality our results establish simultaneous Diophantine
Nevo, Amos +3 more
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A priori error analysis of two force-based atomistic/continuum models of a periodic chain [PDF]
, 2011 The force-based quasicontinuum (QCF) approximation is a non-conservative atomistic/continuum hybrid model for the simulation of defects in crystals. We present an a priori error analysis of the QCF method, applied to a one-dimensional periodic chain ...
Makridakis , C. +9 more
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Iterative methods for the force-based quasicontinuum approximation : analysis of a 1D model problem [PDF]
, 2011 Force-based atomistic-continuum hybrid methods are the only known pointwise consistent methods for coupling a general atomistic model to a finite-element continuum model.
Luskin, Mitchell Barry +7 more
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Variance of the Infection Number of Heterogeneous Malware Spread in Network
Applied SciencesThe Susceptible–Infected–Susceptible (SIS) model in complex networks is one of the critical models employed in the modeling of virus spread. The study of the heterogeneous SIS model with a non-homogeneous nodal infection rate in finite-size networks has ...
Dongchao Guo +3 more
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