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Mathematics, Volume 13, Issue 15

2025 August-1 - 217 articles

Cover Story: High-order reconstruction of piecewise-smooth functions is hampered by Gibbs oscillations near sharp transitions. The figure illustrates our Robust Discontinuity Indicator (RDI), which directly addresses this issue. The upper-left shows the input: function values on a spherical mesh. RDI processes the data in a single pass, combining a theoretically grounded cell-based overshoot indicator with a node-based oscillation indicator. The lower-right shows the output: a clean map that pinpoints C0 (value) and C1 (gradient) discontinuities. RDI handles complex geometry and nonuniform, unstructured meshes while producing fewer false positives than two-pass methods, enabling more reliable remapping and high-order simulations. View this paper
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Articles (217)

  • Article
  • Open Access
1 Citations
562 Views
17 Pages

7 August 2025

Groundwater is an important factor for the stability of the subway station pit constructed in the offshore area. To reflect the effects of groundwater drawdown on the stability of the station pit, this work uses a surface settlement formula based on...

  • Feature Paper
  • Review
  • Open Access
1,668 Views
55 Pages

7 August 2025

Magnetorheological fluids (MRFs) are multiphase materials whose viscosity can be controlled via magnetic fields. However, particle sedimentation undermines their long-term stability. This review examines stabilization strategies based on the interact...

  • Feature Paper
  • Article
  • Open Access
1 Citations
3,871 Views
31 Pages

7 August 2025

The You Only Look Once (YOLO) architecture is crucial for real-time object detection. However, deploying it in resource-constrained environments such as unmanned aerial vehicles (UAVs) requires efficient transfer learning. Although layer freezing is...

  • Article
  • Open Access
886 Views
15 Pages

7 August 2025

Let a and b be positive integers such that a<b and [a,b]={xNaxb}. In this work, we will show that A([a,b])={SS is a numerical semigroup whose Frobenius number belongs to [a,b]} and is a covariety. This fact allows us to...

  • Article
  • Open Access
1 Citations
990 Views
18 Pages

Coordinated Truck Loading and Routing Problem: A Forestry Logistics Case Study

  • Cristian Oliva,
  • Manuel Cepeda and
  • Sebastián Muñoz-Herrera

7 August 2025

This study addresses a real-world logistics problem in forestry operations: the distribution of plants from cultivation centers to planting sites under strict delivery time windows and limited depot resources. We introduce the Coordinated Truck Loadi...

  • Article
  • Open Access
668 Views
30 Pages

7 August 2025

Path flow always plays a critical role in extracting vehicle travel patterns and reflecting network-scale traffic features. However, the comprehensive topological structure of urban road networks induces massive route choices, so frequent travel rout...

  • Article
  • Open Access
561 Views
21 Pages

6 August 2025

This study aims to demonstrate how mathematics, especially calculus concepts, can be expanded to include semi-entities and how these can be applied to sampling activities. Here, the multivalued logic uses pseudo-complemented lattices, instead of Bool...

  • Article
  • Open Access
2 Citations
1,632 Views
16 Pages

6 August 2025

Underwater image enhancement is crucial for fields like marine exploration, underwater photography, and environmental monitoring, as underwater images often suffer from reduced visibility, color distortion, and contrast loss due to light absorption a...

  • Article
  • Open Access
1 Citations
2,118 Views
19 Pages

Inbound Truck Scheduling for Workload Balancing in Cross-Docking Terminals

  • Younghoo Noh,
  • Seokchan Lee,
  • Jeongyoon Hong,
  • Jeongeum Kim and
  • Sung Won Cho

6 August 2025

The rapid growth of e-commerce and advances in information and communication technologies have placed increasing pressure on last-mile delivery companies to enhance operational productivity. As investments in logistics infrastructure require long-ter...

  • Article
  • Open Access
713 Views
13 Pages

6 August 2025

This study explores the estimation of the mean of a sensitive variable using calibration estimators under measurement error. Three randomized response techniques are evaluated: Partial Randomized Response Technique, Compulsory Randomized Response Tec...

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Mathematics - ISSN 2227-7390