On the Inverse of the Discrete Two-Dimensional Wave Operator at CFL

On the Inverse of the Discrete Two-Dimensional Wave Operator at CFL

The initial value problem for the linear nonhomogeneous wave equation in two space dimensions is discretized in the usual way via centered second-order differences, with the timestep size chosen on the CFL "boundary:" $\Delta x = \Delta y = h$, $\Delta t = h\sqrt 2 $. The solution of this...

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Veröffentlicht in:SIAM journal on mathematical analysis 1991-09, Vol.22 (6), p.1763-1775, Article 1763
Hauptverfasser: GLASSEY, R, HORST, E, LENARD, A, SCHAFFER, J
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Exact sciences and technology
Fourier transforms
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
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Zusammenfassung:The initial value problem for the linear nonhomogeneous wave equation in two space dimensions is discretized in the usual way via centered second-order differences, with the timestep size chosen on the CFL "boundary:" $\Delta x = \Delta y = h$, $\Delta t = h\sqrt 2 $. The solution of this discrete problem is explicitly given as a functional of the data.
ISSN:0036-1410
1095-7154
DOI:10.1137/0522110