A kernel-based discretisation method for first order partial differential equations

We derive a new discretisation method for first order PDEs of arbitrary spatial dimension, which is based upon a meshfree spatial approximation. This spatial approximation is similar to the SPH (smoothed particle hydrodynamics) technique and is a typical kernel-based method. It differs, however, sig...

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Veröffentlicht in:Mathematics of computation 2018-07, Vol.87 (312), p.1757-1781
Hauptverfasser: RAMMING, TOBIAS, WENDLAND, HOLGER
Format: Artikel
Sprache:eng
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