Computer Science | Sciweavers

28

JCPHY
2016

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The method of polarized traces for the 2D Helmholtz equation

9 years 12 months ago

We present a solver for the 2D high-frequency Helmholtz equation in heterogeneous acoustic media, with online parallel complexity that scales optimally as O(N L ), where N is the ...

Leonardo Zepeda-Núñez, Laurent Deman...

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30

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JCPHY
2016

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Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients

9 years 12 months ago

$Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients$

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ABSTRACT. Efﬁcient Spectral-Galerkin algorithms are developed to solve multi-dimensional fractional elliptic equations with variable coefﬁcients in conserved form as well as no...

Zhiping Mao, Jie Shen

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23

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JCPHY
2016

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On variational and symplectic time integrators for Hamiltonian systems

9 years 12 months ago

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Various systems in nature have a Hamiltonian structure and therefore accurate time integrators for those systems are of great practical use. In this paper, a ﬁnite element metho...

E. Gagarina, Vijaya R. Ambati, S. Nurijanyan, Jaap...

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24

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JCPHY
2016

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Second-order accurate finite volume method for well-driven flows

9 years 12 months ago

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Milan Dotlic, Dragan Vidovic, B. Pokorni, M. Pusic...

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29

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JCPHY
2016

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A third-order multistep time discretization for a Chebyshev tau spectral method

9 years 12 months ago

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A time discretization scheme based on the third-order backward diﬀerence formula has been embedded into a Chebyshev tau spectral method for the Navier-Stokes equations. The time...

A. W. Vreman, J. G. M. Kuerten

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18

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JCPHY
2016

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On regularizations of the Dirac delta distribution

9 years 12 months ago

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In this article we consider regularizations of the Dirac delta distribution with applications to prototypical elliptic and hyperbolic partial di↵erential equations (PDEs). We st...

Bamdad Hosseini, Nilima Nigam, John M. Stockie

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25

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JCPHY
2016

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Mass-corrections for the conservative coupling of flow and transport on collocated meshes

9 years 12 months ago

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Buoyancy-driven ﬂow models demand a careful treatment of the mass-balance equation to avoid spurious source and sink terms in the non-linear coupling between ﬂow and transport....

Christian Waluga, Barbara I. Wohlmuth, Ulrich R&uu...

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22

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JCPHY
2016

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Immersed boundary smooth extension: A high-order method for solving PDE on arbitrary smooth domains using Fourier spectral metho

9 years 12 months ago

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The Immersed Boundary method is a simple, eﬃcient, and robust numerical scheme for solving PDE in general domains, yet it only achieves ﬁrst-order spatial accuracy near embedd...

David B. Stein, Robert D. Guy, Becca Thomases

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26

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JCP
2016

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A Set Intersection Algorithm Via x-Fast Trie

9 years 12 months ago