We give a simple proof of convergence of the anisotropic variant of a wellknown algorithm for mean curvature motion, introduced in 1992 by Merriman, Bence and Osher. The algorithm consists in alternating the resolution of the (anisotropic) heat equation, with initial datum the characteristic function of the evolving set, and a thresholding at level 1/2.

Abstract We illustrate an application of the integrated approach for modeling and analyzing concurrent systems proposed in [4]. The case study concerns the alternating bit protocol. The protocol is specified by means of a set of terms of the stochastic process algebra EMPA, and then studied from the functional and the performance point of view after constructing the semantic models associated w...

The title compound, C(7)H(8)NO(2) (+)·H(2)PO(3) (-), is formed from alternating layers of organic cations and inorganic anions stacked along the a-axis direction. They are associated via O-H⋯O, N-H⋯O and C-H⋯O hydrogen bonding, giving rise to two different R(2) (2)(8) graph-set motifs and generating a three-dimensional network.

The SGBEM-FEM alternating method is compared with the recently popularized XFEM, for analyzing mixed-mode fracture and fatigue growth of 3D nonplanar cracks in complex solid and structural geometries. A large set of 3D examples with different degrees of complexity is analyzed by the SGBEM-FEM alternating method, and the numerical results are compared with those obtained by XFEM available in the...

Store-and-generate techniques encode a given test set and regenerate the original test set during the test with the help of a decoder. Previous research has shown that run-length coding, particularly alternating run-length coding, can provide high compression ratios for the test data. However, experimental data show that longer runlengths are distributed sparsely in the code space and often occ...

In this paper, a set of new alternating segment explicit-implicit (NASEI) schemes is derived based on an one-dimensional diffusion problem. The schemes are capable of parallel computation; third-order accurate in space; and stable under a reasonable mesh condition. The numerical examples show that the NASEI schemes are more accurate than either the old ASEI or the ASCN schemes.

The coupling of the chemical reaction of ATP hydrolysis to the transport of calcium from the cytoplasm into the lumen of sarcoplasmic reticulum vesicles can be defined by a set of rules that define alternating changes in the specificities of the enzyme for catalysis of chemical and physical reactions.

core flooding experiments were conducted with the objective of evaluating near miscible surfactant alternating co2 injection and the effect of surfactant concentrations on gas-oil and water displacements in porous media. the core samples were provided from a low permeability mixed wet oil reservoir at 156 °f and 1900 psia. in addition, very few studies of surfactant adsorption on carbonate mine...

in the present study, a comprehensive and systematic strategy was described to evaluate the performance of several three-way calibration methods on a bio-analytical problem. parallel factor analysis (parafac), alternating trilinear decomposition (atld), self-weighted alternating trilinear decomposition (swatld), alternating penalty trilinear decomposition (aptld) and unfolded partial least squa...