On the simulation of continuous in scale universal multifractals,Part II: Space–time processes and finite size corrections -- from Wolfram Library Archive

Title

On the simulation of continuous in scale universal multifractals,Part II: Space–time processes and finite size corrections

Authors

S. Lovejoy

D. Schertzer

Journal / Anthology

Computers & Geoscience

Year:

2010

Volume:

Issue:

Page range:

1404-1413

Description

In PartIweconsideredcontinuousinscalecascadeprocesseswhichwerespatiallycontinuous;these are neededformodelingmanygeofields.Inthissecondpartweconsidertheeffectsofspatial discretization;thisallowsustomakenumericalsimulations.Weshowhowtocorrectthesimulations for theleadingfinitesizeeffects,forbothspaceand(causal)space–timeprocesses.Theresulting processeshavesignificantlyimprovedsmallscalestatisticalproperties;inpracticeitcanleadtogreat savingsincomputertimeandmemoryusage.Inanappendixwegivea Mathematica code forthe correspondingspace–timesimulations.

Subject

Unclassified

Enable JavaScript to interact with content and submit forms on Wolfram websites. Learn how »