Hermite Methods for the Scalar Wave Equation
classification
🧮 math.NA
keywords
equationhermitemathcalmethodsscalarwaveacceleratorsaccuracy
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Arbitrary order dissipative and conservative Hermite methods for the scalar wave equation achieving $\mathcal{O}(2m)$ orders of accuracy using $\mathcal{O}(m^d)$ degrees of freedom per node in $d$ dimensions are presented. Stability and error analyses as well as implementation strategies for accelerators are also given.
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