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

• 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.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Wave equation

Error bounds

Second order form

Long times

Summation-by-parts

Finite differences

Simultaneous approximation terms

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)