Exact(1)
The numerical anisotropy can be reduced by using, for example, one-dimensional high-resolution discretization schemes, multi-dimensional optimized difference schemes, or sufficiently fine grids.
Similar(59)
Except for the very unusual case of low-pass filtered functions, that is, functions with negligible amplitude in small wavenumbers k, the DSC/LDAF is less accurate than finite differences for all stencil widths N. So-called "spectrally-weighted" or "frequency-optimized" differences are superior for this special case.
Therefore, in this article, we use the POD technique to establish an optimized finite difference iterative (OFDCNI) scheme containing very few unknowns but holding sufficiently high accuracy for the 2D Sobolev equation, analyze the stability and convergence of the OFDCNI solutions, and verify the feasibility and effectiveness of the OFDCNI scheme by means of numerical simulations.
Most optimized finite-difference schemes for modeling seismic-wave propagation suppress only spatial but not temporal dispersion errors.
This new optimized finite-difference scheme is particularly useful for large-scale 3D scalar-wave modeling and inversion.
Dispersion analysis and numerical examples demonstrate that our optimized finite-difference scheme is computationally up to 2.5 times faster than the optimized schemes using the standard stencil to achieve the similar modeling accuracy for a given 2D or 3D problem.
Because each approach was independently optimized, the differences between the respective final best MRI values could be attributed to the ability of the method to recover taxonomic relationships.
In this work, we have derived an optimized upwind compact difference scheme for achieving excellent spatial resolution.
A description of the order-optimized, symmetric, finite difference, flux-based, hybrid WENO/centered-difference scheme is given, along with its implementation in a high-order SAMR framework.
In what is likely to be optimized conditions, the differences are
These stimuli were created in-house and optimized to avoid differences between experimental conditions regarding their visual impression (color, outer form, spatial frequencies) and task difficulty.
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Justyna Jupowicz-Kozak
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