Approximation of scalar waves in the space-frequency domain. (English) Zbl 0812.35173

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.


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
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