In this paper, we study the low-rank tensor completion problem, where a high-order tensor with missing entries is given and the goal is to complete the tensor. We propose to minimize a new convex objective function, based on log sum of exponentials of nuclear norms, that promotes the low-rankness of unfolding matrices of the completed tensor. We show for the first time that the proximal operato...

key distribution is an important problem in wireless sensor networks where sensor nodesare randomly scattered in adversarial environments.due to the random deployment of sensors, a list of keys must be pre-distributed to each sensor node before deployment. to establish a secure communication, two nodes must share common key from their key-rings. otherwise, they can find a key- path in which ens...

In this paper, a third-order gas-kinetic scheme is developed on the three-dimensional hybrid unstructured meshes for compressible inviscid and viscous flows. classical weighted essentially non-oscillatory (WENO) scheme, high-order spatial accuracy achieved by non-linear combination of lower order polynomials. However, meshes, procedures, including selection candidate stencils calculation linear...

in this paper, a high-order and conditionally stable stochastic difference scheme is proposed for the numerical solution of $rm ithat{o}$ stochastic advection diffusion equation with one dimensional white noise process. we applied a finite difference approximation of fourth-order for discretizing space spatial derivative of this equation. the main properties of deterministic difference schemes,...

We describe a novel N -body code designed for simulations of the central regions of galaxies containing massive black holes. The code incorporates Mikkola’s “algorithmic” chain regularization scheme including post-Newtonian terms up to PN2.5 order. Stars moving beyond the chain are advanced using a fourth-order integrator with forces computed on a GRAPE board. Performance tests confirm that the...

*Correspondence: [email protected] 3Modeling Evolutionary Algorithms Simulation and Artificial Intelligent, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam Full list of author information is available at the end of the article Abstract There has been an increasing interest in studying fractional-order chaotic systems and their synchron...

With the aim of achieving constant insertion loss, this paper presents the design of a 24 GHz reflectivetype phase shifter (RTPS) integrated with a switched -attenuator for phased array transmitters. Three RTPS circuits with hybrid coupler and capacitive-type reflective loads are cascaded to obtain required phase-shift. Accumulation-mode MOS (AMOS) varactors are used as reflective loads for pha...

In this work, we demonstrate a new directional coupling scheme for efficient light coupling between photonic Si3N4 and plasmonic Au-based metallic slot waveguides. The plasmonic-photonic hybrid waveguide structure is capable of supporting guided modes with even and odd symmetry. This feature can lead to the development of an efficient power exchange mechanism which can achieve power transmissio...

In this article we study numerical approximation for singularly perturbed parabolic partial differential equations with time delay. A priori bounds on the exact solution and its derivatives, which are useful for the error analysis of the numerical method are given. The problem is discretized by a hybrid scheme on a generalized Shishkin mesh in spatial direction and the implicit Euler scheme on ...