Energy and Momentum Conserving Methods of Arbitrary Order for the Numerical Integration of Equations of Motion. I. Motion of a Single Particle.
R.A. LaBudde, D. Greenspan (1975/76)
Numerische Mathematik
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Displaying similar documents to “An energy conserving modification of numerical methods for the integration of equations of motion.”
Energy and Momentum Conserving Methods of Arbitrary Order for the Numerical Integration of Equations of Motion. I. Motion of a Single Particle.
Energy and Momentum Conserving Methods of Arbitrary Order for the Numerical Integration of Equations of Motion. II. Motion of a System of Particles.
R.A. LaBudde, D. Greenspan (1976)
Numerische Mathematik
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Thick obstacle problems with dynamic adhesive contact
Jeongho Ahn (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this work, we consider dynamic frictionless contact with adhesion between a viscoelastic body of the type and a stationary rigid obstacle, based on the Signorini's contact conditions. Including the adhesion processes modeled by the bonding field, a new version of energy function is defined. We use the energy function to derive a new form of energy balance which is supported by numerical results. Employing the time-discretization, we establish a numerical formulation and investigate...
On the Brachistochronic Motion of a Non-Conservative Dynamic System
Đ. S. Đukić (1979)
Zbornik Radova
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Limiting phase trajectories and resonance energy transfer in a system of two coupled oscillators.
Manevitch, L.I., Kovaleva, A.S., Manevitch, E.L. (2010)
Mathematical Problems in Engineering
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Nonlinear analysis of flexible beams undergoing large rotations via symbolic computations.
Yuan, Xiaofeng, Tada, Yukio (2001)
Mathematical Problems in Engineering
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The energy dissipation, the error probability and the time of duration a logical operation
Milan Marvan (1982)
Kybernetika
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Gravitational collapse of a Brownian gas
Clément Sire, Pierre-Henri Chavanis (2004)
Banach Center Publications
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We investigate a model describing the dynamics of a gas of self-gravitating Brownian particles. This model can also have applications for the chemotaxis of bacterial populations. We focus here on the collapse phase obtained at sufficiently low temperature/energy and on the post-collapse regime following the singular time where the central density diverges. Several analytical results are illustrated by numerical simulations.
OSCILLATOR WITH STRONG QUADRATIC DAMPING FORCE
Livija Cvetićanin (2009)
Publications de l'Institut Mathématique
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Numerical analysis of a relaxed variational model of hysteresis in two-phase solids
Carsten Carstensen, Petr Plecháč (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This paper presents the numerical analysis for a variational formulation of rate-independent phase transformations in elastic solids due to Mielke et al. The new model itself suggests an implicit time-discretization which is combined with the finite element method in space. A priori error estimates are established for the quasioptimal spatial approximation of the stress field within one time-step. A posteriori error estimates motivate an adaptive mesh-refining algorithm...
Performance of composite implicit time integration scheme for nonlinear dynamic analysis.
Silva, William Taylor Matias, Bezerra, Luciano Mendes (2008)
Mathematical Problems in Engineering
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Numerical analysis and simulations of quasistatic frictionless contact problems
José Fernández García, Weimin Han, Meir Shillor, Mircea Sofonea (2001)
International Journal of Applied Mathematics and Computer Science
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A summary of recent results concerning the modelling as well as the variational and numerical analysis of frictionless contact problems for viscoplastic materials are presented. The contact is modelled with the Signorini or normal compliance conditions. Error estimates for the fully discrete numerical scheme are described, and numerical simulations based on these schemes are reported.