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

Danny Barash; Tamar Schlick; Moshe Israeli; Ron Kimmel

doi:10.1023/a:1024484920022

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

Danny Barash
, Tamar Schlick
, Moshe Israeli
, Ron Kimmel

New York University
Technion-Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

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 language	English
Pages (from-to)	33-48
Number of pages	16
Journal	Journal of Mathematical Imaging and Vision
Volume	19
Issue number	1
DOIs	https://doi.org/10.1023/a:1024484920022
State	Published - Jul 2003
Externally published	Yes

Bibliographical note

Funding Information:
Part of this work was performed while D.B. was with Hewlett-Packard Laboratories Israel. The continuation of the work was supported by NSF Award ASC-9318159, NIH Award R01 GM55164, and a John Simon Guggenheim fellowship to T.S.

Funding

Part of this work was performed while D.B. was with Hewlett-Packard Laboratories Israel. The continuation of the work was supported by NSF Award ASC-9318159, NIH Award R01 GM55164, and a John Simon Guggenheim fellowship to T.S.

Funders	Funder number
National Science Foundation	ASC-9318159
National Institutes of Health	R01 GM55164

Keywords

Additive operator splittings
Multiple timestep methods
Multiplicative operator splittings
Nonlinear diffusion

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10.1023/a:1024484920022

Cite this

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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.",

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AU - Israeli, Moshe

AU - Kimmel, Ron

N1 - Funding Information: Part of this work was performed while D.B. was with Hewlett-Packard Laboratories Israel. The continuation of the work was supported by NSF Award ASC-9318159, NIH Award R01 GM55164, and a John Simon Guggenheim fellowship to T.S.

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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.

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KW - Multiple timestep methods

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

Abstract

Bibliographical note

Funding

Keywords

Access to Document

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