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This solution method makes use of high order in time integration techniques, inexact Newton Krylov nonlinear solvers, and multigrid preconditioners.
Our approach turns the use of high order derivatives more efficiently especially when the signal to differentiate has slow dynamics.
The eigenvalue-function pair of the 3D Schrödinger equation can be efficiently computed by use of high order, imaginary time propagators.
In cases where the approximation is unstable, we show how stability can be recovered by use of high order artificial dissipation operators.
The normals are calculated using a distance level set reconstructed from the interface using a fast marching method, increasing robustness and allowing the use of high order, non-TVD transport schemes.
Our method features the use of high order fully implicit time integration schemes that enable to overcome stability issues related to the explicit discretization of the highly non-linear bending force or capillary force.
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The use of higher order modulation schemes reduces the transmission time considerably.
Naturally, this is done when the channel conditions allow the use of higher order modulation.
This motivates the use of higher order shape functions and related p-FEM concepts.
However, the use of higher order moments was helpful since AJM performs better than CC for non-linear intensity distortion.
Efforts to improve accuracy by use of higher order elements are strongest in the area of three-dimensional analysis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com