Search Results - "Tian, Xiaochuan"

Mathematics of Smoothed Particle Hydrodynamics: A Study via Nonlocal Stokes Equations by Du, Qiang, Tian, Xiaochuan

“…Smoothed particle hydrodynamics (SPH) is a popular numerical technique developed for simulating complex fluid flows. Among its key ingredients is the use of…”
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Magmatism controls global oceanic transform fault topography by Tian, Xiaochuan, Behn, Mark D., Ito, Garrett, Schierjott, Jana C., Kaus, Boris J. P., Popov, Anton A.

“…Oceanic transform faults play an essential role in plate tectonics. Yet to date, there is no unifying explanation for the global trend in broad-scale transform…”
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How transform fault shear influences where detachment faults form near mid-ocean ridges by Schierjott, Jana C., Ito, Garrett, Behn, Mark D., Tian, Xiaochuan, Morrow, Thomas, Kaus, Boris J. P., Escartín, Javier

“…Oceanic detachment faults represent an end-member form of seafloor creation, associated with relatively weak magmatism at slow-spreading mid-ocean ridges. We…”
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L^{p} $ compactness criteria with an application to variational convergence of some nonlocal energy functionals by Du, Qiang, Mengesha, Tadele, Tian, Xiaochuan

“…Motivated by some variational problems from a nonlocal model of mechanics, this work presents a set of sufficient conditions that guarantee a compact inclusion…”
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Retraction Note: Does oil price volatility influences carbon emission trends and financial concerns of oil industry? by Tian, Xiaochuan, Sun, Liping

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Intrusions induce global warming before continental flood basalt volcanism by Tian, Xiaochuan, Buck, W. Roger

“…Extinction events are known to correlate with continental flood basalt eruptions. Massive carbon degassing from these eruptions can have catastrophic impacts…”
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Does oil price volatility influences carbon emission trends and financial concerns of oil industry? by Tian, Xiaochuan, Sun, Liping

“…This analysis explores the complicated relationship between oil price fluctuations, the oil industry's finances, and the resulting increase or decrease in…”
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RETRACTED ARTICLE: Does oil price volatilityinfluences carbon emission trends and financial concerns of oil industry? by Tian, Xiaochuan, Sun, Liping

“…This analysis explores the complicated relationship between oil price fluctuations, the oil industry’s finances, and the resulting increase or decrease in…”
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Monotone Meshfree Methods for Linear Elliptic Equations in Non-divergence Form via Nonlocal Relaxation by Ye, Qihao, Tian, Xiaochuan

“…We design a monotone meshfree finite difference method for linear elliptic equations in the non-divergence form on point clouds via a nonlocal relaxation…”
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Correction to: Monotone Meshfree Methods for Linear Elliptic Equations in Non-divergence Form via Nonlocal Relaxation by Ye, Qihao, Tian, Xiaochuan

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ASYMPTOTICALLY COMPATIBLE SCHEMES AND APPLICATIONS TO ROBUST DISCRETIZATION OF NONLOCAL MODELS by TIAN, XIAOCHUAN, DU, QIANG

“…Many problems in nature, being characterized by a parameter, are of interest both with a fixed parameter value and with the parameter approaching an asymptotic…”
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Publisher Correction: Intrusions induce global warming before continental flood basalt volcanism by Tian, Xiaochuan, Buck, W. Roger

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Effects of axially variable diking rates on faulting at slow spreading mid-ocean ridges by Tian, Xiaochuan, Choi, Eunseo

“…Magma supply for dike injection can be highly variable within a segment of a slow-spreading mid-ocean ridge but the tectonic impact of this variability is not…”
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Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations by Tao, Yunzhe, Tian, Xiaochuan, Du, Qiang

“…This paper studies nonlocal diffusion models associated with a finite nonlocal horizon parameter δ that characterizes the range of nonlocal interactions. The…”
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RETRACTED ARTICLE: Does oil price volatility influences carbon emission trends and financial concerns of oil industry? by Tian, Xiaochuan, Sun, Liping

“…This analysis explores the complicated relationship between oil price fluctuations, the oil industry’s finances, and the resulting increase or decrease in…”
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Compactness results for a Dirichlet energy of nonlocal gradient with applications by Han, Zhaolong, Mengesha, Tadele, Tian, Xiaochuan

“…We prove two compactness results for function spaces with finite Dirichlet energy of half‐space nonlocal gradients. In each of these results, we provide…”
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ANALYSIS AND COMPARISON OF DIFFERENT APPROXIMATIONS TO NONLOCAL DIFFUSION AND LINEAR PERIDYNAMIC EQUATIONS by TIAN, XIAOCHUAN, DU, QIAND

“…We consider the numerical solution of nonlocal constrained value problems associated with linear nonlocal diffusion and nonlocal peridynamic models. Two…”
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STABILITY OF NONLOCAL DIRICHLET INTEGRALS AND IMPLICATIONS FOR PERIDYNAMIC CORRESPONDENCE MATERIAL MODELING by DU, QIANG, TIAN, XIAOCHUAN

“…Nonlocal gradient operators are basic elements of nonlocal vector calculus that play important roles in nonlocal modeling and analysis. In this work, we extend…”
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A Class of High Order Nonlocal Operators by Tian, Xiaochuan, Du, Qiang

“…We study a class of nonlocal operators that may be seen as high order generalizations of the well known nonlocal diffusion operators. We present properties of…”
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The double adaptivity paradigm by Demkowicz, Leszek, Führer, Thomas, Heuer, Norbert, Tian, Xiaochuan

“…We present an efficient implementation of the double adaptivity algorithm of Cohen et al. (2012) within the setting of the Petrov–Galerkin method with optimal…”
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