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First an arbitrary (high) accuracy polynomial reconstruction operator is built.
It implements exactly differentiation up to arbitrary high order based on the nonstandard analysis.
It implements conveniently differentiation up to arbitrary high order, based on the nonstandard analysis.
The scheme has general semidiscrete wave-propagation form and can be extended to an arbitrary high order accuracy.
A reformulation of the ADER approach (Arbitrary high order schemes using DERivatives) for linear hyperbolic PDE's is presented.
Second-order of accuracy in time is achieved via the ADER (Arbitrary high order schemes using DERivatives) approach.
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Ms. Prada gave equal weight to the practical and the luxurious, though not in that arbitrary high-low, rich-poor way of other designers.
We propose arbitrary high-order discontinuous Galerkin (DG) schemes that are designed based on a first-order hyperbolic advection diffusion formulation of the target governing equations.
For the first time, explicit symplectic integrators of arbitrary high-orders are constructed for accurate and efficient simulations of such mechanical systems.
Significant advantages of the EBDG-scheme are the general applicability to arbitrary high-order elements and its simple implementation for multi-dimensional configurations.
We design an arbitrary high-order accurate nodal discontinuous Galerkin spectral element approximation for the non-linear two dimensional shallow water equations with non-constant, possibly discontinuous, bathymetry on unstructured, possibly curved, quadrilateral meshes.
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CEO of Professional Science Editing for Scientists @ prosciediting.com