Anguelov, Roumen Guaranteed bounds for the solution of the wave equation. (English) Zbl 0859.65096 Quaest. Math. 19, No. 1-2, 275-289 (1996). 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. Reviewer: K.T.S.R.Iyengar (Bangalore) 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 Keywords:error bounds; wave equation; trigonometric polynomials; numerical examples PDFBibTeX XMLCite \textit{R. Anguelov}, Quaest. Math. 19, No. 1--2, 275--289 (1996; Zbl 0859.65096) Full Text: DOI References: [1] Anguelov R., Proceedings of 19th Conference on Numerical Mathematics, San Lameer, July 1993 (1993) [2] Collatz L., Functional analysis and Numerical Mathematics (1964) [3] Dobner H. J., Computing, Suppl. 9 pp 33– (1993) [4] Kaucher E., Computer arithmetic, Scientific Computation and Programing Languages (1987) [5] Kaucher E., Self-validating numerics for function space problems (1984) · Zbl 0548.65028 [6] Kulisch U., Computer arithmetic in theory and practice (1983) [7] Markov S., An interval method for systems of ODE (1986) · Zbl 0588.65050 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.