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Error analysis and reduction in lossy TLM
Author(s) -
Kennedy Alan,
O'Connor William J.
Publication year - 2007
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2109
Subject(s) - lossy compression , variance (accounting) , reduction (mathematics) , transient (computer programming) , variance reduction , error analysis , diffusion , transmission (telecommunications) , term (time) , algorithm , mathematics , computer science , statistics , physics , telecommunications , geometry , thermodynamics , accounting , quantum mechanics , business , operating system , monte carlo method
Abstract This paper presents a novel technique to analyse the lossy TLM method for diffusion. From the equations derived for the variance error, it also shows how adjusting the transmission coefficient for one time step can reduce the long‐term variance error to zero and significantly increase the accuracy of transient results obtained. Copyright © 2007 John Wiley & Sons, Ltd.