Sentence examples for with high singularity from inspiring English sources

Due to the adaption of the first-order velocity system instead of dipolar interactions, the proposed combined DG method avoids to evaluate integrals with high singularity.

Due to the adoption of new mathematical formulation, our new numerical methods avoid evaluating integrals with high singularity and thus they are more efficient and accurate than those numerical methods currently used in the literatures for solving the problem.

These examples show that the mesh can follow with high adaptivity a finite-time singularity process.

Directly at the crack tips discontinuous quarter-point elements are used to model the typical behavior of the near tip solution with high accuracy, especially the 1/√r-singularity of stresses and electric displacements.

Numerical examples with periodic and random highly oscillating coefficients, as well as the multiscale problems on the L-shaped domain, and multiscale problems with high contrast channels or well-singularities are presented to demonstrate the efficiency and accuracy of the proposed method.

However, isotropic materials have only one image point with higher order image singularities (O(1/r2), O(1/r3)).

In addition, (near-) singularity problems often occur with high marker densities, which is common in fine-mapping, causing numerical problems in AIREML based on mixed model equations.

With High Highs.

For optical waveguides with high index contrast and sharp corners, high order full-vectorial mode solvers are difficult to develop, due to the field singularities at the corners.

Emphasis is placed on the necessity for geometric optimization of an interface in order to design singularity-free junction with higher interfacial strength.

For the fast subsystem we use the planar unfolding of a high codimension singularity.