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Guaranteed bounds for the solution of the wave equation. (English) Zbl 0859.65096

A method is given to construct bounds for the solution of the wave equation in the form of trigonometric polynomials, using some monotone properties of the differential operator in the wave equation. Aspects of numerical implementation, accuracy of the computed bounds and some numerical examples are discussed.

MSC:

65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35L05 Wave equation
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References:

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