id:"swepub:oai:DiVA.org:kth-148654"
Search: id:"swepub:oai:DiVA.org:kth-148654" > Gaussian beam metho...
- 1 of 1
- Previous record
- Next record
- To hitlist
- Liu, Hailiang (author)
Gaussian beam methods for the helmholtz equation
- Article/chapterEnglish2014
Publisher, publication year, extent ...
- Society for Industrial & Applied Mathematics (SIAM),2014
- printrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:kth-148654
- https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-148654URI
- https://doi.org/10.1137/130916072DOI
Supplementary language notes
- Language:English
- Summary in:English
Part of subdatabase
- SwePubSwePub
Classification
Notes
- QC 20140811
- In this work we construct Gaussian beam approximations to solutions of the high frequency Helmholtz equation with a localized source. Under the assumption of nontrapping rays we show error estimates between the exact outgoing solution and Gaussian beams in terms of the wave number k, both for single beams and superposition of beams. The main result is that the relative local L-2 error in the beam approximations decay as k(-N/2) independent of dimension and presence of caustics for Nth order beams.
Subject headings and genre
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- Helmholtz equation
- high frequency wave propagation
- localized source
- radiation condition
Added entries (persons, corporate bodies, meetings, titles ...)
- Ralston, James (author)
- Runborg, OlofKTH,Numerisk analys, NA,SeRC - Swedish e-Science Research Centre(Swepub:kth)u1na5bn9 (author)
- Tanushev, Nicolay M. (author)
- KTHNumerisk analys, NA (creator_code:org_t)
Related titles
- In:SIAM Journal on Applied Mathematics: Society for Industrial & Applied Mathematics (SIAM)74:3, s. 771-7930036-13991095-712X
Internet link
Find in a library
- SIAM Journal on Applied Mathematics (Search for host publication in LIBRIS)
To the university's database
- 1 of 1
- Previous record
- Next record
- To hitlist
Find more in SwePub
- By the author/editor
- Liu, Hailiang
- Ralston, James
- Runborg, Olof
- Tanushev, Nicola ...
- About the subject
-
- NATURAL SCIENCES
- NATURAL SCIENCES
- and Mathematics
- Articles in the publication
- SIAM Journal on ...
- By the university
- Royal Institute of Technology
Search outside SwePub
- Extend your search to:
- Google Book Search
- Google Scholar
Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.
- Copyright © LIBRIS - National Library Systems
- LIBRIS.kb.se
