Comment on “Computational periodicity as observed in a simple system,” by Edward N. Lorenz (2006a)
By: Lun-Shin Yao and Dan Hughes
References
-
Ascher
, U. M.and Petzold, L. R.,. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations, Society for Industrial and Applied Mathematics , SIAM, New York. -
Cloutman
, L. D.,. A Note on the Stability and Accuracy of Finite Difference Approximations to Differential Equations. Lawrence Liv-ermore National Laboratory, UCRL-ID-125549. -
Cloutman
, L. D.,. Chaos and Instabilities in Finite Difference Ap-proximations to Nonlinear Differential Equations. Lawrence Liver-more National Laboratory, UCRL-ID-131333. -
Lorenz
, E. N.,. Deterministic nonperiodic flow. J. Atmos. Sci. 20, 130– 141. -
Lorenz
, E. N.,. Can chaos and intransitivity lead to interannual variability?, 378– 389. -
Lorenz
, E. N.,. Computational periodicity as observed in a simple system. Tellus, 549– 557. -
Lorenz
, E. N.,. An attractor embedded in the atmosphere. Tellus, 425– 429. -
Pielke
, R. A.and Zeng, X.,. Long-term variability of climate. J. Atmos. Sci. 51( 1), 155– 159. -
Press
, W. H., Flannery, B. P., Teukolsky, S. A.and Vettering, W. T.,. Numerical Recipes ; The Art of Scientific Computing, Cambridge University Press, Cambridge. -
Teixeira
, J., Reynolds, C. A.and Judd, K.,. Time step sensitivity of nonlinear atmospheric models: numerical convergence, truncation error growth, and ensemble design. J. Atmos. Sci. 64, 175– 189. -
Viana
. What’s new on Lorenz strange attractors?. 22, 6– 19. -
Yao
, L. S.,. Computed chaos or numerical errors. online manuscript, http://arxiv.orgiabsinlin.CD/0506045. -
Yao
, L. S.and Hughes, D.,. Comment on, “time step sensitivity of nonlinear atmospheric models: numerical convergence, truncation error growth, and ensemble design”. J. Atmos. Sci., 65( 2), 681– 682. -
Young
, C.,. Comment on “deterministic nonperiodic flow. ” J. At-mos. Sci. 23, 628– 629.
DOI: https://doi.org/10.1111/j.1600-0870.2008.00301.x | Journal eISSN: 3035-9554
Language: English
Page range: 803 - 805
Submitted on: Sep 14, 2007
Accepted on: Nov 14, 2007
Published on: Jan 1, 2008
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 2008 Lun-Shin Yao, Dan Hughes, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.