Multiplicative operator splittings in nonlinear diffusion: From spatial splitting to multiple timesteps

Danny Barash, Tamar Schlick, Moshe Israeli, Ron Kimmel

Research output: Contribution to journalArticle

Abstract

Multiplicative operator splitting schemes across dimensions were examined for designing nonlinear diffusion integrators. These were presented as alternatives to the additive operator splitting (AOS) schemes. Multiple timestep methods were introduced for examining multiplicative operator splittings across scales. An example was discussed to illustrate how multiple timestep methods could be use to improve the diffusion process.

Original languageEnglish (US)
Pages (from-to)33-48
Number of pages16
JournalJournal of Mathematical Imaging and Vision
Volume19
Issue number1
DOIs
StatePublished - Jul 2003

Keywords

  • Additive operator splittings
  • Multiple timestep methods
  • Multiplicative operator splittings
  • Nonlinear diffusion

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Condensed Matter Physics
  • Computer Vision and Pattern Recognition
  • Geometry and Topology
  • Applied Mathematics

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