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Mathematics, Volume 13, Issue 12

June-2 2025 - 137 articles

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Cover Story: Transfinite interpolation formula was developed in early 1970s for computer-aided geometric design (CAGD) purposes and was later implemented for finite element analysis (FEA). Classical transfinite elements are structured setups of nodes along horizontal and vertical stations. In this paper, we construct elements with arbitrary node distributions, using either Lagrange or Bernstein polynomial bases. Three distinct classes are considered, and new global interpolation formulations are introduced, enabling flexible node configurations. Each formulation supports representations based on either Lagrange or Bernstein polynomials. In the latter case, two alternative Bernstein-based models are developed as follows: one that is numerically equivalent to its Lagrange counterpart, and another that offers modest improvements in numerical performance. View this paper

Articles (137)

  • Feature Paper
  • Article
  • Open Access
508 Views
10 Pages

19 June 2025

Star-convexity of the eigenvalue region for the set of n×n stochastic matrices has already been proven, for n≥2, by Dmitriev and Dynkin. The star-convexity property enables full determination of the eigenvalue region by its boundary. This st...

  • Article
  • Open Access
503 Views
18 Pages

19 June 2025

Fault diagnosis and identification are important goals in ensuring the safe production of industrial processes. This article proposes a data reconstruction method based on Center Nearest Neighbor (CNN) theory for fault diagnosis and abnormal variable...

  • Review
  • Open Access
611 Views
28 Pages

19 June 2025

This paper aims to present the application of variational methods in studying the existence and related properties of solutions for Klein–Gordon–Maxwell systems through a literature review. First, we give an introduction and variational f...

  • Article
  • Open Access
833 Views
35 Pages

19 June 2025

Probabilistic selling is a retail strategy in which consumers purchase products without knowing their exact identities until after purchase, with various applications like gaming and retail; a real-world practice involves retailers may unsealing and...

  • Article
  • Open Access
1,587 Views
22 Pages

19 June 2025

New copula families are constructed based on orthogonality in L2(0,1). Subclasses of idempotent copulas with square integrable densities are derived. It is shown that these copulas generate exchangeable Markov chains that behave as independent and id...

  • Feature Paper
  • Article
  • Open Access
901 Views
17 Pages

19 June 2025

Accurate decision making under uncertainty for transport problems often requires predicting unknown parameters from contextual information. Traditional two-stage frameworks separate prediction and optimization, which can lead to suboptimal decisions,...

  • Article
  • Open Access
1,270 Views
25 Pages

Generalized Modified Unstable Nonlinear Schrödinger’s Equation: Optical Solitons and Modulation Instability

  • Jamilu Sabi’u,
  • Ibrahim Sani Ibrahim,
  • Khomsan Neamprem,
  • Surattana Sungnul and
  • Sekson Sirisubtawee

19 June 2025

This paper proposes the generalized modified unstable nonlinear Schrödinger’s equation with applications in modulated wavetrain instabilities. The extended direct algebra and generalized Ricatti equation methods are applied to find innovat...

  • Article
  • Open Access
1,112 Views
25 Pages

19 June 2025

In this paper, we present a fast and accurate numerical approach applied to specific American-style derivatives, namely American power call and put options, whose main feature is that the underlying asset is raised to a power. The study is set in the...

  • Article
  • Open Access
1,083 Views
24 Pages

Modeling Supply Chain Finance Resilience with a Complex Adaptive SEIJR Framework

  • Yimeng Ye,
  • Danqin Huang,
  • Ziyue Li,
  • Shujian Ma and
  • Wanwan Xia

19 June 2025

This study develops a novel framework for supply chain financial resilience (SCFR) by integrating complex adaptive systems theory with supply chain finance and resilience concepts. To explore how disruption risks propagate through the supply chain, w...

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Mathematics - ISSN 2227-7390Creative Common CC BY license