We introduce a new technique for solving Initial Value Problems (IVPs) by formulating an embedded method involving RK methods based on Arithmetic Mean(AM) and Heronian Mean (HeM). The function of the simulator is that it is capable of performing Raster Simulation for any kind as well as any size of input image. It is a powerful tool for researchers to examine the potential applications of CNN. ...

Abstract In this paper, we develop high-order asymptotic preserving (AP) schemes for the BGK equation in a hyperbolic scaling, which leads to the macroscopic models such as the Euler and compressible Navier-Stokes equations in the asymptotic limit. Our approaches are based on the so-called micro-macro formulation of the kinetic equation which involves a natural decomposition of the problem to t...

Despite numerous computational advances over the last few decades, molecular dynamics still favors explicit (and thus easily-parallelizable) time integrators for large scale numerical simulation. As a consequence, computational efficiency in solving its typically stiff oscillatory equations of motion is hampered by stringent stability requirements on the time step size. In this paper, we presen...

To address the subjectivity in manual scoring of polysomnograms, a computer-assisted sleep staging method is presented in this paper. The method uses the principles of segmentation and self-organization (clustering) based on primitive sleep-related features to find the pseudonatural stages present in the record. Sample epochs of these natural stages are presented to the user, who can classify t...

This paper discusses novel approaches to the numerical integration of coupled nonlinear Schrödinger equations system for few-mode wave propagation. The propagation assumes up nine modes light in an optical fiber. In this case, is described by non-linear equation system, where each mode own with other modes’ interactions. (CNSES) solving becomes increasingly complex, because affects modes. sugge...

In this paper we present our work on the parametrization of Random Forests (RF), and more particularly on the number K of features randomly selected at each node during the tree induction process. It has been shown that this hyperparameter can play a significant role on performance. However, the choice of the value of K is usually made either by a greedy search that tests every possible value t...