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Parallel Time Integration with Multigrid [PDF]
SIAM Journal on Scientific Computing, 2014 AbstractWith current trends in computer architectures leading towards systems with more, but not faster, processors, faster time‐to‐solution must come from greater parallelism. We present a family of truly multilevel approaches to parallel time integration based on multigrid reduction (MGR) principles.
Robert D. Falgout +4 more
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Energies, 2020 Discontinuous Galerkin (DG) method is a popular high-order accurate method for solving unsteady convection-dominated problems. After spatially discretizing the problem with the DG method, a time integration scheme is necessary for evolving the result ...
Liang Li, Songping Wu
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On the use of exponential time integration methods in atmospheric models [PDF]
Tellus: Series A, Dynamic Meteorology and Oceanography, 2013 Exponential integration methods offer a highly accurate approach to the time integration of large systems of differential equations. In recent years, they have attracted increased attention in a number of diverse fields due to advances in their ...
Colm Clancy, Janusz A. Pudykiewicz
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Time integration of rectangular membrane free vibration using spline-based differential quadrature [PDF]
Journal of Applied and Computational Mechanics, 2016 In this paper, numerical spline-based differential quadrature is presented for solving the boundary and initial value problems, and its application is used to solve the fixed rectangular membrane vibration equation.
Sara Javidpoor +2 more
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Frontiers in Physics, 2018 We study three different time integration methods for a dynamic pore network model for immiscible two-phase flow in porous media. Considered are two explicit methods, the forward Euler and midpoint methods, and a new semi-implicit method developed herein.
Magnus Aa. Gjennestad +3 more
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Integration of speed and time for estimating time to contact [PDF]
Proceedings of the National Academy of Sciences, 2018 Significance Existing theories suggest that reacting to dynamic stimuli is made possible by relying on internal estimates of kinematic variables. For example, to catch a bouncing ball the brain relies on the position and speed of the ball. However, when kinematic information is unreliable one may additionally rely on temporal cues.
Chia-Jung Chang, Mehrdad Jazayeri
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A Time Integration Method Based on Galerkin Weak Form for Nonlinear Structural Dynamics
Applied Sciences, 2019 This paper presents a step-by-step time integration method for transient solutions of nonlinear structural dynamic problems. Taking the second-order nonlinear dynamic equations as the model problem, this self-starting one-step algorithm is constructed ...
Qinyan Xing, Qinghao Yang, Weixuan Wang
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Modelling time-integrated fluxes of CO2 and CH4 in peatlands: A review [PDF]
Mires and Peat, 2019 There is widespread interest in estimating annual carbon dioxide (CO2) and methane (CH4) budgets for peatlands using data collected from flux chambers. Flux-chamber measurements are a snapshot of the conditions on a particular site and may not adequately
A.J. Baird +3 more
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Superintegrability and time-dependent integrals [PDF]
Archivum Mathematicum, 2019 Summary: While looking for additional integrals of motion of several minimally superintegrable systems in static electric and magnetic fields, we have realized that in some cases Lie point symmetries of Euler-Lagrange equations imply existence of explicitly time-dependent integrals of motion through Noether's theorem. These integrals can be combined to
Kubů, Ondřej, Šnobl, Libor
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Integrable equations on time scales [PDF]
Journal of Mathematical Physics, 2005 Integrable systems are usually given in terms of functions of continuous variables (on R), in terms of functions of discrete variables (on Z), and recently in terms of functions of q-variables (on Kq). We formulate the Gel’fand-Dikii (GD) formalism on time scales by using the delta differentiation operator and find more general integrable nonlinear ...
Gürses, M. +2 more
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