We analyze the rate of convergence towards self-similarity for the subcritical KellerSegel system in the radially symmetric two-dimensional case and in the corresponding one-dimensional case for logarithmic interaction. We measure convergence in Wasserstein distance. The rate of convergence towards self-similarity does not degenerate as we approach the critical case. As a byproduct, we obtain a...

the compact finite difference schemes have been found to give simple ways of reaching the objectives of high accuracy and low computational cost. during the past two decades, the compact schemes have been used extensively for numerical simulation of various fluid dynamics problems. these methods have also been applied for numerical solution of some prototype geophysical fluid dynamics problems ...

This paper constitutes an extension of the work of Mendez, Gibaud & Nicoud: An unstructured solver for simulations of deformable particles in flows at arbitrary Reynolds numbers, Journal of Computational Physics, 256(1): 465-483 (2014), for three-dimensional simulations of deformable membranes under flow. An immersed thick boundary method is used, combining the immersed boundary method with a t...

Automatic differentiation is a technique for computing derivatives accurately and efficiently with minimal human effort. We employed this technique to generate derivative information of FCAP2 (2-D) and FCAP3 (3-D) programs that simulate the parasitic effects of interconnects and devices. This derivative information is used in the statistical modeling of worst-case interconnect delays and on-chi...

Abstract Symmetric lifting is a common manual material handling strategy in daily life and the main cause of low back pain. In literature, symmetric mainly simulated by using two-dimensional (2D) models because their simplicity computational cost. practice, however, can generate asymmetric kinetics especially when weight heavy based on 2D misses this important information. Therefore, three-dime...

A binary classification problem is imbalanced when the number of samples from the two groups differs. For the high dimensional case, where the number of variables ismuch larger than the number of samples, imbalance leads to a bias in the classification. The independence classifier is studied theoretically and based on the analysis two new classifiers are suggested that can handle any imbalance ...

We test Arkani-Hamed et al.’s dimensional deconstruction on a model that is predicted to have a naturally light composite Higgs boson, i.e., one whose mass M is much less than its binding scale Λ, and whose quartic coupling λ is large, so that its vacuum expectation value v ∼ M/ √ λ ≪ Λ also. We consider two different underlying dynamics—UV completions—at the scale Λ for this model. We find tha...

Case-based reasoning is a method intended to develop knowledge based systems by imitating the behavior of human experts. Compared to classical rule-based reasoning, case-based reasoning attempts to solve new problems by using previous cases from a case base and adapting the solution of a similar problem according to the parameters of the new situation. In case-based systems, the quality of the ...