Results 11 to 20 of about 351,224 (307)
Review of summation-by-parts schemes for initial–boundary-value problems [PDF]
Journal of Computational Physics, 2014 High-order finite difference methods are efficient, easy to program, scales well in multiple dimensions and can be modified locally for various reasons (such as shock treatment for example). The main drawback have been the complicated and sometimes even mysterious stability treatment at boundaries and interfaces required for a stable scheme.
Svärd, Magnus, Nordström, Jan
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COFFEE—An MPI-parallelized Python package for the numerical evolution of differential equations [PDF]
SoftwareX, 2019 COFFEE (Conformal Field Equation Evolver) is a Python package primarily developed to numerically evolve systems of partial differential equations over time using the method of lines.
Georgios Doulis +3 more
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Convergence of summation-by-parts finite difference methods for the wave equation [PDF]
, 2015 In this paper, we consider finite difference approximations of the second order wave equation. We use finite difference operators satisfying the summation-by-parts property to discretize the equation in space.
Siyang Wang, Gunilla Kreiss
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An Algorithmic Exploration of the Existence of High-Order Summation by Parts Operators with Diagonal Norm [PDF]
, 2016 This paper explores a common class of diagonal-norm summation by parts (SBP) operators found in the literature, which can be parameterized by an integer triple $(s,t,r)$ representing the interior order of accuracy ($2s)$, the boundary order of accuracy ($
Nathan Albin, Joshua Klarmann
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Mathematics, 2021 A simultaneous-approximation term is a non-reflecting boundary condition that is usually accompanied by summation-by-parts schemes for provable time stability.
Myeongseok Kang, Donghyun You
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Summation Formulae for Quintic q-Series
Mathematics, 2022 By utilizing the modified Abel lemma on summation by parts, we examine a class of quintic q-series, that have close connections to the “twisted cubic q-series”. Several remarkable summation and transformation formulae are established.
Wenchang Chu
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Frontiers in Physics, 2021 In this paper we will review a recent emerging paradigm shift in the construction and analysis of high order Discontinuous Galerkin methods applied to approximate solutions of hyperbolic or mixed hyperbolic-parabolic partial differential equations (PDEs)
Gregor J. Gassner, Andrew R. Winters
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State-dependent representations of mixtures by the olfactory bulb
eLife, 2022 Sensory systems are often tasked to analyse complex signals from the environment, separating relevant from irrelevant parts. This process of decomposing signals is challenging when a mixture of signals does not equal the sum of its parts, leading to an ...
Aliya Mari Adefuin +3 more
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Frontiers in Physics, 2022 High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can still be required for variable-density flows with under-resolved features.
Jesse Chan +5 more
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Quality Index for Stereoscopic Images by Separately Evaluating Adding and Subtracting. [PDF]
PLoS ONE, 2015 The human visual system (HVS) plays an important role in stereo image quality perception. Therefore, it has aroused many people's interest in how to take advantage of the knowledge of the visual perception in image quality assessment models.
Jiachen Yang +5 more
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