Hermite Methods for the Scalar Wave Equation
arXiv:1802.0524616 citationsh-index: 33
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This work provides a high-order accurate and efficient numerical method for solving the scalar wave equation, which is important for computational physics and engineering applications.
The paper presents Hermite methods for the scalar wave equation that achieve 2m-th order accuracy using m^d degrees of freedom per node in d dimensions, along with stability and error analyses and implementation strategies for accelerators.
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.