In the hyperbolic research community,there exists the strong belief that a continuous Galerkin scheme is notoriously unstable and additional stabilization terms have to be added to guarantee *** the first part of the ...
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In the hyperbolic research community,there exists the strong belief that a continuous Galerkin scheme is notoriously unstable and additional stabilization terms have to be added to guarantee *** the first part of the series[6],the application of simultaneous approximation terms for linear problems is investigated where the boundary conditions are imposed *** applying this technique,the authors demonstrate that a pure continu-ous Galerkin scheme is indeed linearly stable if the boundary conditions are imposed in the correct *** this work,we extend this investigation to the nonlinear case and focus on entropy *** switching to entropy variables,we provide an estimation of the boundary operators also for nonlinear problems,that guarantee *** numerical simulations,we verify our theoretical analysis.
This paper deals with the large deflection of rigid-plastic structural members subjected to intense dynamic loads, such as explosive pressure and impact loadings. From the viewpoint of energy equilibrium, a theoretica...
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Random stealing is a well-known dynamic scheduling algorithm. However, in a large-scale cluster, an idle node must randomly steal many times to obtain a task from another node, especially, this problem severely affect...
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The dynamic behavior of RMSprop and Adam algorithms is studied through a combination of careful numerical experiments and theoretical explanations. Three types of qualitative features are observed in the training loss...
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Here we investigate the kinematic transports of the defects in the nematic liquid crystal system by numerical *** model is a shear flow case of the viscoelastic continuummodel simplified fromthe Ericksen-Leslie *** nu...
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Here we investigate the kinematic transports of the defects in the nematic liquid crystal system by numerical *** model is a shear flow case of the viscoelastic continuummodel simplified fromthe Ericksen-Leslie *** numerical experiments are carried out by using a *** on these numerical experiments we find some interesting and important relationships between the kinematic transports and the characteristics of the *** present the development and interaction of the *** results are partly consistent with the observation from the *** this scheme illustrates,to some extent,the kinematic effects of the defects.
We report first results of a large-scale simulation of two-dimensional quantum gravity using the dynamical triangulation model for systems of up to sixteen thousand triangles. Our results for the internal geometry sho...
We report first results of a large-scale simulation of two-dimensional quantum gravity using the dynamical triangulation model for systems of up to sixteen thousand triangles. Our results for the internal geometry show an unexpectedly complicated behavior of the internal volume as function of the internal radius. A simple fractal characterization is inadequate to describe the geometry of the states in the system.
Interface enhanced superconductivity over 50 K has been discovered in monolayer Fe Se films grown on several TiO_2-terminated oxide *** such phenomenon exists in other oxide substrates remains an extremely interesting...
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Interface enhanced superconductivity over 50 K has been discovered in monolayer Fe Se films grown on several TiO_2-terminated oxide *** such phenomenon exists in other oxide substrates remains an extremely interesting *** we report enhanced superconductivity with an onset transition temperature of 18 K in monolayer Fe Se on Mg O(001) substrate by transport *** transmission electron microscopy investigation on the interface structure indicates that Fe Se films grow epitaxially on Mg O(001) and that overlayer Fe atoms diffuse into the top two layers of Mg O and substitute Mg *** density functional theory calculations reveal that this substitution promotes the charge transfer from the Mg O substrate to the Fe Se films,an essential process that also occurs in monolayer Fe Se on TiO_2-terminated oxides and contributes to the enhanced superconductivity *** finding suggests that superconductivity enhancement in monolayer Fe Se films on oxides substrates is rather general as long as charge transfer is allowed at the interface,thus pointing out an explicit direction for searching for new high temperature superconductivity by interface engineering.
The classic Hegselmann-Krause (HK) model for opinion dynamics consists of a set of agents on the real line, each one instructed to move, at every time step, to the mass center of the agents within a fixed distance R. ...
Deep neural networks have been demonstrated to be vulnerable to adversarial attacks, where small perturbations intentionally added to the original inputs can fool the classifier. In this paper, we propose a defense me...
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The dynamical triangulation model of 3-dimensional Quantum Gravity is defined and studied. We propose two different algorithms for numerical simulations, leading to consistent results. One is the 3-dimensional general...
The dynamical triangulation model of 3-dimensional Quantum Gravity is defined and studied. We propose two different algorithms for numerical simulations, leading to consistent results. One is the 3-dimensional generalization of the bonds flip, another is more sophisticated algorithm, based on Schwinger–Dyson equations. We found such care necessary, because our results appear to be quite unexpected. We simulated up to 60000 tetrahedra and observed none of the feared pathologies like factorial growth of the partition function with volume, or collapse to the branched polymer phase. The volume of the Universe grows exponentially when the bare cosmological constant λ approaches the critical value λ c from above, but the closed Universe exists and has peculiar continuum limit. The Universe compressibility diverges as (λ − λ c ) −2 and the bare Newton constant linearly approaches negative critical value as λ goes to λ c , provided the average curvature is kept at zero. The fractal properties turned out to be the same, as in two dimensions, namely the effective Hausdorff dimension grows logarithmically with the size of the test geodesic sphere.
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