This work analyzes the sensitivities of the solution of a system of ordinary differential equations (ODEs) and a corresponding quantity of interest (QoI) to perturbations in a state-dependent component function that a...
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This paper presents a multilevel tensor compression algorithm called tensor butterfly algorithm for efficiently representing large-scale and high-dimensional oscillatory integral operators, including Green’s function...
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We consider the problem of embedding point cloud data sampled from an underlying manifold with an associated flow or velocity. Such data arises in many contexts where static snapshots of dynamic entities are measured,...
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Recently, the appealing structure of dual cubes has captured the attention of numerous researchers. A more general class of interconnection networks sharing similar recursive structures as dual cubes is called Dual Cu...
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ISBN:
(数字)9798350386844
ISBN:
(纸本)9798350386851
Recently, the appealing structure of dual cubes has captured the attention of numerous researchers. A more general class of interconnection networks sharing similar recursive structures as dual cubes is called Dual Cube Extensive Network. This paper delves into the examination of cycle constructions of dual cube extensive networks. Our result can be extended to the studies when specific faulty edges are present.
Given a family of pretrained models and a hold-out set, how can we construct a valid conformal prediction set while selecting a model that minimizes the width of the set? If we use the same hold-out data set both to s...
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In this paper, we present the derivation of a multicontinuum model for the coupled flow and transport equations by applying multicontinuum homogenization. We perform the multicontinuum expansion for both flow and tran...
The doping effects on the stacking fault energies(SFEs),including the superlattice intrinsic stacking fault and superlattice extrinsic stacking fault,were studied by first principles calculation of the/phase in the Ni...
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The doping effects on the stacking fault energies(SFEs),including the superlattice intrinsic stacking fault and superlattice extrinsic stacking fault,were studied by first principles calculation of the/phase in the Ni-based *** formation energy results show that the main alloying elements in Ni-based superalloys,such as Re,Cr,Mo,Ta,and W,prefer to occupy the Al-site in Ni3 AI,Co shows a weak tendency to occupy the Ni-site,and Ru shows a weak tendency to occupy the *** SFE results show that Co and Ru could decrease the SFEs when added to fault planes,while other main elements increase *** double-packed superlattice intrinsic stacking fault energies are lower than superlattice extrinsic stacking fault energies when elements(except Co) occupy an ***,the SFEs show a symmetrical distribution with the location of the elements in the ternary model.A detailed electronic structure analysis of the Ru effects shows that SFEs correlated with not only the symmetry reduction of the charge accumulation but also the changes in structural energy.
Let Ω be a bounded domain in RN with C2 boundary and let K ⊂ ∂Ω be either a C2 submanifold of the boundary of codimension k 2/4. We establish parabolic boundary Harnack inequalities as well as related two-sided heat...
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We prove the existence and stability of smooth solutions to the steady Navier-Stokes equations near plane Poiseuille-Couette flow. Consequently, we also provide the zero viscosity limit of the 2D steady Navier-Stokes ...
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Nonparametric density models are of great interest in various scientific and engineering disciplines. Classical density kernel methods, while numerically robust and statistically sound in low-dimensional settings, bec...
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