You are currently viewing a new version of our website. To view the old version click .

Mathematics, Volume 11, Issue 22

November-2 2023 - 146 articles

Cover Story: New families of direct serendipity and direct mixed finite elements on general planar, strictly convex polygons were recently defined by the authors. The finite elements of index r are H1 and H(div) conforming, respectively, and approximate optimally to order r+1 while using the minimal number of degrees of freedom. The shape function space consists of the full set of polynomials defined directly on the element and augmented with a space of supplemental functions. In this work, we propose alternative ways to construct the supplemental functions on the element as continuous piecewise polynomials. One approach results in supplemental functions that are in Hp for any p≥1. We prove the optimal approximation property for these new finite elements. View this paper
  • Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
  • You may sign up for email alerts to receive table of contents of newly released issues.
  • PDF is the official format for papers published in both, html and pdf forms. To view the papers in pdf format, click on the "PDF Full-text" link, and use the free Adobe Reader to open them.

Articles (146)

  • Article
  • Open Access
1 Citations
2,908 Views
29 Pages

20 November 2023

Complementarity and substitutability between products are essential concepts in retail and marketing. To achieve this, existing approaches take advantage of knowledge graphs to learn more evidence for inference. However, they often omit the knowledge...

  • Article
  • Open Access
1 Citations
1,377 Views
27 Pages

20 November 2023

In this research paper, we present a new inertial method with a self-adaptive technique for solving the split variational inclusion and fixed point problems in real Hilbert spaces. The algorithm is designed to choose the optimal choice of the inertia...

  • Article
  • Open Access
5 Citations
2,211 Views
18 Pages

Noisy Tree Data Structures and Quantum Applications

  • Kamil Khadiev,
  • Nikita Savelyev,
  • Mansur Ziatdinov and
  • Denis Melnikov

20 November 2023

We suggest a new technique for developing noisy tree data structures. We call it a “walking tree”. As applications of the technique we present a noisy Self-Balanced Binary Search Tree (we use a Red–Black tree as an implementation) a...

  • Article
  • Open Access
2 Citations
1,590 Views
16 Pages

20 November 2023

Optimization algorithms have now played an important role in many fields, and the issue of how to design high-efficiency algorithms has gained increasing attention, for which it has been shown that advanced control theories could be helpful. In this...

  • Article
  • Open Access
5 Citations
1,602 Views
24 Pages

20 November 2023

This paper investigates a cellular network assisted by unmanned aerial vehicles (UAVs) in the presence of a fluctuating 3-dimensional (3D) antenna beamwidth. The primary objective is to perform an analysis of typical user equipment (T-UE) performance...

  • Article
  • Open Access
3 Citations
1,939 Views
17 Pages

20 November 2023

This paper investigates a single-machine scheduling problem of a software test with shared common setup operations. Each job has a corresponding set of setup operations, and the job cannot be executed unless its setups are completed. If two jobs have...

  • Review
  • Open Access
28 Citations
7,854 Views
21 Pages

20 November 2023

From Cournot, Walras, and Pareto’s research to what followed in the form of marginalist economics, chaos theory, agent-based modeling, game theory, and econophysics, the interpretation and analysis of economic systems have been carried out usin...

  • Feature Paper
  • Article
  • Open Access
2 Citations
1,180 Views
14 Pages

20 November 2023

We study the Terracini loci of an irreducible variety X embedded in a projective space: non-emptiness, dimensions and the geometry of their maximal dimension’s irreducible components. These loci were studied because they describe where the diff...

  • Article
  • Open Access
8 Citations
4,252 Views
17 Pages

20 November 2023

The flexible job shop scheduling problem (FJSP), one of the core problems in the field of generative manufacturing process planning, has become a hotspot and a challenge in manufacturing production research. In this study, an improved self-learning g...

  • Article
  • Open Access
11 Citations
1,697 Views
14 Pages

20 November 2023

In this paper, we present a new class of Leonardo hybrid numbers that incorporate quantum integers into their components. This advancement presents a broader generalization of the q-Leonardo hybrid numbers. We explore some fundamental properties asso...

of 15

Get Alerted

Add your email address to receive forthcoming issues of this journal.

XFacebookLinkedIn
Mathematics - ISSN 2227-7390