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Asymptotic stability of an eikonal transformation based adi method for the paraxial Helmholtz equation at high wave numbers
Sheng,Qin1; Sun,Hai Wei2
2012-05-11
Source PublicationCommunications in Computational Physics
ISSN18152406 19917120
Volume12Issue:4Pages:1275-1292
Abstract

This paper concerns the numerical stability of an eikonal transformation based splitting method which is highly effective and efficient for the numerical solution of paraxial Helmholtz equation with a large wave number. Rigorous matrix analysis is conducted in investigations and the oscillation-free computational procedure is proven to be stable in an asymptotic sense. Simulated examples are given to illustrate the conclusion. © 2012 Global-Science Press.

KeywordAsymptotic Stability Eikonal Splitting Highly Oscillatory Problems Matrix Eigenvalues Paraxial Equation Spectral Radius
DOI10.4208/cicp.100811.090112a
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000303773900016
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Cited Times [WOS]:9   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
Affiliation1.Center for Astrophysics, Space Physics and Engineering ResearchDepartment of MathematicsBaylor University,United States
2.Department of MathematicsUniversity of Macau,Macao
Recommended Citation
GB/T 7714
Sheng,Qin,Sun,Hai Wei. Asymptotic stability of an eikonal transformation based adi method for the paraxial Helmholtz equation at high wave numbers[J]. Communications in Computational Physics,2012,12(4):1275-1292.
APA Sheng,Qin,&Sun,Hai Wei.(2012).Asymptotic stability of an eikonal transformation based adi method for the paraxial Helmholtz equation at high wave numbers.Communications in Computational Physics,12(4),1275-1292.
MLA Sheng,Qin,et al."Asymptotic stability of an eikonal transformation based adi method for the paraxial Helmholtz equation at high wave numbers".Communications in Computational Physics 12.4(2012):1275-1292.
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