Results 11 to 20 of about 4,365,462 (264)
Disentangling high-order mechanisms and high-order behaviours in complex systems
Nature Physics, 2022 Battiston et al. (arXiv:2110.06023) provide a comprehensive overview of how investigations of complex systems should take into account interactions between more than two elements, which can be modelled by hypergraphs and studied via topological data analysis.
Fernando E. Rosas +7 more
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A high-order Boris integrator [PDF]
Journal of Computational Physics, 2015 This work introduces the high-order Boris-SDC method for integrating the equations of motion for electrically charged particles in an electric and magnetic field. Boris-SDC relies on a combination of the Boris-integrator with spectral deferred corrections (SDC).
Mathias Winkel +2 more
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Arbitrary High-Order Finite Element Schemes and High-Order Mass Lumping [PDF]
International Journal of Applied Mathematics and Computer Science, 2007 Arbitrary High-Order Finite Element Schemes and High-Order Mass LumpingComputers are becoming sufficiently powerful to permit to numerically solve problems such as the wave equation with high-order methods. In this article we will consider Lagrange finite elements of orderkand show how it is possible to automatically generate the mass and stiffness ...
Jund, Sébastien, Salmon, Stéphanie
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IACR Transactions on Cryptographic Hardware and Embedded Systems, 2023 The main protection against side-channel attacks consists in computing every function with multiple shares via the masking countermeasure. While the masking countermeasure was originally developed for securing block-ciphers such as AES, the protection of lattice-based cryptosystems is often more challenging, because of the diversity of the underlying ...
Jean-Sébastien Coron +3 more
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Journal of Combinatorial Theory, Series A, 1995 The order of an \(n\)-omino is the smallest value of \(k\) such that \(k\) copies of it can be used to tile a rectangle of area \(kn\). Previous results on tiling rectangles with polyominoes have been obtained in this journal by the first author [ibid. 51, No.
Karl A. Dahlke +2 more
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High-order metaphysics as high-order abstractions and choice in set theory [PDF]
SSRN Electronic Journal, 2020 The link between the high-order metaphysics and abstractions, on the one hand, and choice in the foundation of set theory, on the other hand, can distinguish unambiguously the “good” principles of abstraction from the “bad” ones and thus resolve the “bad company problem” as to set theory. Thus it implies correspondingly a more precise definition of the
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High order corrections to the renormalon [PDF]
Nuclear Physics B, 1997 17 pages, LaTeX, 4 eps figures, extended version accepted for publication in Nuclear Physics ...
Faleev, V., Silvestrov, P.G.
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Parallel High-Order Integrators
SIAM Journal on Scientific Computing, 2010 In this work we discuss a class of defect correction methods which is easily adapted to create parallel time integrators for multicore architectures and is ideally suited for developing methods which can be order adaptive in time. The method is based on integral deferred correction (IDC), which was itself motivated by spectral deferred correction by ...
Andrew J. Christlieb +2 more
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Fractal and Fractional, 2023 In this work, we propose a fast scheme based on higher order discretizations on graded meshes for resolving the temporal-fractional partial differential equation (PDE), which benefits the memory feature of fractional calculus.
Rouhollah Ghabaei +3 more
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High order mimetic difference simulation of unsaturated flow using Richards equation
Mathematics in Applied Sciences and Engineering, 2020 The vadose zone is the portion of the subsurface above the water table and its pore space usually contains air and water. Due to the presence of infiltration, erosion, plant growth, microbiota, contaminant transport, aquifer recharge, and discharge to ...
Angel Boada Velazco +2 more
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