Szukana fraza: [Abstract = "Computers are becoming sufficiently powerful to permit to numerically solve problems such as the wave equation with high\-order methods. In this article we will consider Lagrange finite elements of order k and show how it is possible to automatically generate the mass and stiffness matrices of any order with the help of symbolic computation software. We compare two high\-order time discretizations\: an explicit one using a Taylor expansion in time \(a Cauchy\-Kowalewski procedure\) and an implicit Runge\-Kutta scheme."]

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