T. R. Littell, R. D. Skeel, and M. Zhang. Error analysis of symplectic multiple time stepping. SIAM J. Numer. Anal., 34(5):1792--1807, Oct. 1997. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Framework Design, Parallelization and Force Computation in.. - Matthey (Correct)
....for the slow and fast dynamics. Slow components are taken into account only every N time steps, where they act as a kind of impulse, acting on the particle. A detailed evaluation and description of integrators and MTS methods are beyond the scope of this thesis; the reader is referred to [7, 39, 60, 57, 79, 129]. In particular, researchers at the University of Notre Dame have implemented slow (half a kick) for k = 0; N 1 do k N = x N tv (a drift) fast = rU fast (x ) evaluate fast forces) N = v N end do slow = rU slow (x ) ....
....co exist. Easily customized forces and interchangeable integration schemes have emerged as important requirements. For the last decade, several new ways of solving Newton s equation of motion based on multiple time stepping (MTS) have been developed that improved performance dramatically [7, 39, 60, 57, 79, 129]. It is usually necessary to carefully tune all parts of the MTS scheme to get the full benefits of this technique. Thus, to experiment and to evaluate new and different integration schemes, their dynamic composition and configuration is essential, rather than to change the source code and ....
T. R. Littell, R. D. Skeel, and M. Zhang. Error analysis of symplectic multiple time stepping. SIAM J. Numer. Anal., 34(5):1792--1807, October 1997.
A Brief Survey of Issues Relating to the Reliability of Simulation .. - Hayes (Correct)
....half of the orbit. Their results are similar to the second order results of Hut et al. 40] It would be interesting to see if a 4th order version of their method would also give comparable results to Hut et al. 40] The error of this method is analyzed more fully in Littell, Skeel, and Zhang [54], where they come to the unsurprising conclusion that the smallest stepsize times the highest frequency of the quickly changing components must be small. In other words, their method still needs an adequate sample of the highest frequency changes in order to integrate them. They prove the also ....
Todd R. Littell, Robert D. Skeel, and Meiqing Zhang. Error analysis of symplectic multiple time stepping. Preprint, December 1995.
Verlet-I/r-RESPA/Impulse Is Limited by Nonlinear Instability - Ma, Izaguirre, Skeel Self-citation (Skeel) (Correct)
No context found.
T. R. Littell, R. D. Skeel, and M. Zhang. Error analysis of symplectic multiple time stepping. SIAM J. Numer. Anal., 34(5):1792--1807, Oct. 1997.
The Five Femtosecond Time Step Barrier - Skeel, Izaguirre (1998) Self-citation (Skeel) (Correct)
No context found.
T. R. Littell, R. D. Skeel, and M. Zhang. Error analysis of symplectic multiple time stepping. SIAM J. Numer. Anal., 34:1792--1807, 1997.
Symplectic Variable Stepsize Integration for N-body Problems - Hardy, al. Self-citation (Skeel) (Correct)
.... it is enough to bound the speed of each particle by speed 1 ae Gamma 1 r 1 2h (2ae) k : 32) For 1=2 ae 1, the bound is minimized at k = 0, so it would suffice to check speed 1 ae Gamma 1 r 1 2h : 33) In determining a suitable ae, we can apply the rule suggested in [8] for linear problems, that the optimal stepsize is inversely proportional to the square root of the spectral radius of the Hessian of the potential function. Applying this idea to a single electrostatic interaction, the spectral radius of the Hessian of kq j Gamma q i k Gamma1 is 4r Gamma3 ....
T. R. Littell, R. D. Skeel, and M. Zhang, Error analysis of symplectic multiple time stepping, SIAM J. Numer. Anal. 34(5), 1997, to appear.
Targeted Mollified Impulse - A Multiscale Stochastic.. - Ma, Izaguirre (2003) (Correct)
No context found.
T. R. Littell, R. D. Skeel, and M. Zhang. Error analysis of symplectic multiple time stepping. SIAM J. Numer. Anal., 34(5):1792--1807, 1997.
Novel Multiscale Algorithms for Molecular Dynamics - Ma (2003) (Correct)
No context found.
T. R. Littell, R. D. Skeel, and M. Zhang. Error analysis of symplectic multiple time stepping. SIAM J. Numer. Anal., 34(5):1792--1807, Oct. 1997.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC