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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: 36
Issue: 11
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