Exact and approximate solutions of the Helmholtz, Weyl composition equation in scalar wave propagation

DOI10.1016/0165-2125(91)90037-OzbMath0749.76060MaRDI QIDQ1194134

Louis Fishman

Publication date: 27 September 1992

Published in: Wave Motion (Search for Journal in Brave)

zbMATH Keywords

underwater acousticsoperator symbolsoperator rational approximationsWeyl pseudo-differential operator calculus

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Applications of manifolds of mappings to the sciences (58D30)

Related Items

Reciprocity and representation theorems for flux- and field-normalised decomposed wave fields, An iterative method for the inversion of the two-dimensional wave equation with a potential

Cites Work

• Phase space methods and path integration: the analysis and computation of scalar wave equations
• Derivation and application of extended parabolic wave theories. I. The factorized Helmholtz equation
• Derivation and application of extended parabolic wave theories. II. Path integral representations
• Harmonic analysis of the de Rham complex on the sphere.
• The weyl calculus of pseudo-differential operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item