Results 11 to 20 of about 12,414 (350)
A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes
The Astrophysical Journal, 2022 In recent publications, the construction of explicit symplectic integrators for Schwarzschild- and Kerr-type spacetimes is based on splitting and composition methods for numerical integrations of Hamiltonians or time-transformed Hamiltonians associated ...
Naying Zhou +3 more
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, 2004 Variational integrators are a class of discretizations for mechanical systems which are derived by discretizing Hamilton's principle of stationary action.
West, Matthew
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Theoretical and Applied Mechanics, 2016 This paper reviews recent results on the extension of Hame’s formalism to infinite-dimensional mechanical systems and to variational integrators. Of a particular interest are applications to the dynamics and numerical integration of systems with
Zenkov Dmitry V.
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Variational Time Integrators in Computational Solid Mechanics [PDF]
, 2003 This thesis develops the theory and implementation of variational integrators for computational solid mechanics problems, and to some extent, for fluid mechanics problems as well.
Lew, Adrián José
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Benchmark cases for robust explicit time integrators in non-smooth transient dynamics
Advanced Modeling and Simulation in Engineering Sciences, 2019 This article introduces benchmark cases for time integrators devoted to non-smooth impact dynamics. It focuses on numerical properties of explicit integrators.
Jean Di Stasio +4 more
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Selecting Burnup Algorithms in OpenMC Using the Calculated Benchmark of LEU Assembly and MOX Fuel
Глобальная ядерная безопасность, 2023 OpenMC is a state-of-the-art Monte Carlo neutron transport simulation code that uses the Python programming language as an API. OpenMC supports eight burnout simulation algorithms.
Hamza A Tanash +5 more
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Energy and Force Stepping Integrators in Lagrangian Mechanics [PDF]
, 2011 The overarching goal of this thesis is to develop new numerical time integration schemes for Lagrangian mechanics that better cope with the challenges of understanding the dynamic behavior of materials.
Gonzalez, Marcial
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Hamilton-Pontryagin Integrators on Lie Groups [PDF]
, 2007 In this thesis structure-preserving time integrators for mechanical systems whose configuration space is a Lie group are derived from a Hamilton-Pontryagin (HP) variational principle.
Bou-Rabee, Nawaf Mohammed
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Multiscale Geometric Integration of Deterministic and Stochastic Systems [PDF]
, 2011 In order to accelerate computations and improve long time accuracy of numerical simulations, this thesis develops multiscale geometric integrators. For general multiscale stiff ODEs, SDEs, and PDEs, FLow AVeraging integratORs (FLAVORs) have been ...
Tao, Molei
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A review of some geometric integrators
Advanced Modeling and Simulation in Engineering Sciences, 2018 Some of the most important geometric integrators for both ordinary and partial differential equations are reviewed and illustrated with examples in mechanics.
Dina Razafindralandy +2 more
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