In the present paper, we investigate the existence of solutions for coupled systems of ψ-Caputo semilinear fractional differential equations in Banach space with initial conditions. The stability of the relevant solu...
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In this article, we explore a specific class of hybrid fractional differential equations using the ψ-Caputo derivative and subject to initial value constraints. Precisely, we rigorously establish the existence and un...
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In this work, we study the local existence of weak solutions for a Kirchhoff-type problem involving the fractional p-Laplacian. Under appropriate assumptions, we obtain the existence of weak solutions by using the Gal...
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This paper addresses the existence of weak solutions for a class of nonlinear Dirichlet boundary value problems governed by a double phase operator. The main results are established under precise assumptions on the no...
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In this paper, we analyze a class of Dirichlet boundary value problems governed by nonlinear (α(z),β(z))-Laplacian operators in the framework of Musielak-Orlicz-Sobolev spaces with variable exponents. This approach ...
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We are intrigued by the issues of shock instability,with a particular emphasis on numerical schemes that address the carbuncle phenomenon by reducing dissipation rather than increasing *** a specific class of planar f...
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We are intrigued by the issues of shock instability,with a particular emphasis on numerical schemes that address the carbuncle phenomenon by reducing dissipation rather than increasing *** a specific class of planar flow fields where the transverse direction exhibits vanishing but non-zero velocity components,such as a disturbed onedimensional(1D)steady shock wave,we conduct a formal asymptotic analysis for the Euler system and associated numerical *** analysis aims to illustrate the discrepancies among various low-dissipative numerical ***,a numerical stability analysis of steady shock is undertaken to identify the key factors underlying shock-stable *** verify the stability mechanism,a consistent,low-dissipation,and shock-stable HLLC-type Riemann solver is presented.
Light field (LF) imaging captures both spatial and angular information of the real world, enabling precise depth estimation. However, images are merely discrete expressions of scenes. Limited by imaging technology, LF...
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Locating small features in a large, dense object in virtual reality (VR) poses a significant interaction challenge. While existing multiscale techniques support transitions between various levels of scale, they are no...
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Graph-based approximate nearest neighbor algorithms have shown high neighbor structure representation quality. NN-Descent is a widely known graph-based approximate nearest neighbor (ANN) algorithm. However, graph-base...
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ISBN:
(纸本)9798350355543
Graph-based approximate nearest neighbor algorithms have shown high neighbor structure representation quality. NN-Descent is a widely known graph-based approximate nearest neighbor (ANN) algorithm. However, graph-based approaches are memory- and *** address the drawbacks, we develop a scalable distributed NN-Descent. Our NEO-DNND (neighbor-checking efficiency optimized distributed NN-Descent) is built on top of MPI and designed to utilize network bandwidth efficiently. NEO-DNND reduces duplicate elements, increases intra-node data sharing, and leverages available DRAM to replicate data that may be sent ***-DNND showed remarkable scalability up to 256 nodes and was able to construct neighborhood graphs from billion-scale datasets. Compared to a leading shared-memory ANN library, NEO-DNND achieved competitive performance even on a single node and exhibited 41.7X better performance by scaling up to 32 nodes. Furthermore, NEO-DNND outperformed a state-of-the-art distributed NN-Descent implementation, achieving up to a 6.0X speedup.
In this work, we have explored a fractional Newton’s Second Law of motion involving the ψ-Caputo operator of order α∈(1,2]. We proved the existence and uniqueness of solutions for different classes of force functi...
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