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

Fingerprint

Operator Splitting
Nonlinear Diffusion
Multiplicative
operators
integrators
Diffusion Process
Alternatives

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Artificial Intelligence
  • Computer Graphics and Computer-Aided Design
  • Software
  • Applied Mathematics
  • Computer Vision and Pattern Recognition

Cite this

Multiplicative operator splittings in nonlinear diffusion : From spatial splitting to multiple timesteps. / Barash, Danny; Schlick, Tamar; Israeli, Moshe; Kimmel, Ron.

In: Journal of Mathematical Imaging and Vision, Vol. 19, No. 1, 07.2003, p. 33-48.

Research output: Contribution to journalArticle

@article{0cf3851bfb6345c89285431793786379,
title = "Multiplicative operator splittings in nonlinear diffusion: From spatial splitting to multiple timesteps",
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.",
keywords = "Additive operator splittings, Multiple timestep methods, Multiplicative operator splittings, Nonlinear diffusion",
author = "Danny Barash and Tamar Schlick and Moshe Israeli and Ron Kimmel",
year = "2003",
month = "7",
doi = "10.1023/A:1024484920022",
language = "English (US)",
volume = "19",
pages = "33--48",
journal = "Journal of Mathematical Imaging and Vision",
issn = "0924-9907",
publisher = "Springer Netherlands",
number = "1",

}

TY - JOUR

T1 - Multiplicative operator splittings in nonlinear diffusion

T2 - From spatial splitting to multiple timesteps

AU - Barash, Danny

AU - Schlick, Tamar

AU - Israeli, Moshe

AU - Kimmel, Ron

PY - 2003/7

Y1 - 2003/7

N2 - 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.

AB - 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.

KW - Additive operator splittings

KW - Multiple timestep methods

KW - Multiplicative operator splittings

KW - Nonlinear diffusion

UR - http://www.scopus.com/inward/record.url?scp=0041340839&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041340839&partnerID=8YFLogxK

U2 - 10.1023/A:1024484920022

DO - 10.1023/A:1024484920022

M3 - Article

AN - SCOPUS:0041340839

VL - 19

SP - 33

EP - 48

JO - Journal of Mathematical Imaging and Vision

JF - Journal of Mathematical Imaging and Vision

SN - 0924-9907

IS - 1

ER -