Douglas, Jim jun.; Sheen, Dongwoo; Santos, Juan E. Approximation of scalar waves in the space-frequency domain. (English) Zbl 0812.35173 Math. Models Methods Appl. Sci. 4, No. 4, 509-531 (1994). Summary: A numerical method for approximating a pseudodifferential system describing attenuated, scalar waves is introduced and analyzed. Analytic properties of the solutions of the pseudodifferential systems are determined and used to show convergence of the numerical method. Experiments using the method are reported. Cited in 1 ReviewCited in 31 Documents MSC: 35S10 Initial value problems for PDEs with pseudodifferential operators 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35L05 Wave equation Keywords:variational form of the generalized problem; existence; uniqueness; regularity PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., Math. Models Methods Appl. Sci. 4, No. 4, 509--531 (1994; Zbl 0812.35173) Full Text: DOI