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On Long Time Error Bounds for the Wave Equation on Second Order Form

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Temporal error bounds for the wave equation expressed on second order form are investigated. We show that, with appropriate choices of boundary conditions, the time and space derivatives of the… Click to show full abstract

Temporal error bounds for the wave equation expressed on second order form are investigated. We show that, with appropriate choices of boundary conditions, the time and space derivatives of the error are bounded even for long times. No long time bound on the error itself is obtained, although numerical experiments indicate that a bound exists.

Keywords: error; error bounds; second order; bounds wave; time; wave equation

Journal Title: Journal of Scientific Computing
Year Published: 2018

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