Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/98872
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Cui, J | en_US |
dc.creator | Dieci, L | en_US |
dc.creator | Zhou, H | en_US |
dc.date.accessioned | 2023-06-01T06:05:19Z | - |
dc.date.available | 2023-06-01T06:05:19Z | - |
dc.identifier.issn | 1064-8275 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/98872 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2022 Society for Industrial and Applied Mathematics | en_US |
dc.rights | The following publication Cui, J., Dieci, L., & Zhou, H. (2022). A continuation multiple shooting method for Wasserstein geodesic equation. SIAM Journal on Scientific Computing, 44(5), A2918-A2943 is available at https://doi.org/10.1137/21M142160X. | en_US |
dc.subject | Boundary value problem | en_US |
dc.subject | Hamiltonian flow | en_US |
dc.subject | Multiple shooting method | en_US |
dc.subject | Optimal transport | en_US |
dc.title | A continuation multiple shooting method for Wasserstein geodesic equation | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | A2918 | en_US |
dc.identifier.epage | A2943 | en_US |
dc.identifier.volume | 44 | en_US |
dc.identifier.issue | 5 | en_US |
dc.identifier.doi | 10.1137/21M142160X | en_US |
dcterms.abstract | In this paper, we propose a numerical method to solve the classic L2-optimal transport problem. Our algorithm is based on the use of multiple shooting, in combination with a continuation procedure, to solve the boundary value problem associated to the transport problem. Based on the viewpoint of Wasserstein Hamiltonian flow with initial and target densities, our algorithm reflects the Hamiltonian structure of the underlying problem and exploits it in the numerical discretization. Several numerical examples are presented to illustrate the performance of the method. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on scientific computing, 2022, v. 44, no. 5, A2918-A2943 | en_US |
dcterms.isPartOf | SIAM journal on scientific computing | en_US |
dcterms.issued | 2022 | - |
dc.identifier.scopus | 2-s2.0-85140377588 | - |
dc.identifier.eissn | 1095-7197 | en_US |
dc.description.validate | 202305 bcww | en_US |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | a2051 | - |
dc.identifier.SubFormID | 46380 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.fundingSource | Others | en_US |
dc.description.fundingText | This research was partially supported by the Georgia Tech Mathematics Application Portal (GT-MAP) and by research grants NSF DMS-1620345, NSF DMS-1830225, and ONR N00014- 18-1-2852. The research of the first author was partially supported by the Hong Kong Research Grant Council ECS grant 25302822, internal funds P0039016 and P0041274 from The Hong Kong Polytechnic University, and the CAS AMSS-PolyU Joint Laboratory of Applied Mathematics. | en_US |
dc.description.pubStatus | Published | en_US |
dc.description.oaCategory | VoR allowed | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
21m142160x.pdf | 3.88 MB | Adobe PDF | View/Open |
Page views
62
Citations as of Sep 22, 2024
Downloads
39
Citations as of Sep 22, 2024
SCOPUSTM
Citations
3
Citations as of Sep 26, 2024
WEB OF SCIENCETM
Citations
3
Citations as of Jun 27, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.