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Mathematics, Volume 13, Issue 16

August-2 2025 - 155 articles

Cover Story: Investors face the challenge of how to incorporate economic and financial forecasts into their investment strategy, especially in times of financial crisis. To model this situation, we consider a financial market in which the drift and volatility of a risky asset are influenced by a stochastic process indicating the probability of market downturns. We use a dynamic portfolio optimization approach in continuous time to maximize the expected utility of terminal wealth. The optimal investment strategy (indicator-based PPI), corresponds to a CPPI strategy with a stochastic multiplier that depends on the information from the crisis indicator. The model is fitted using historic market data, and this strategy is found to clearly dominate the Black–Scholes-based CPPI strategy, which does not use information from a crisis indicator. View this paper
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Articles (155)

  • Article
  • Open Access
1,005 Views
25 Pages

20 August 2025

Most existing studies on the Shortest-Path Network Interdiction Problem (SPIP) adopt the attacker’s perspective, often overlooking the critical role of defender-oriented strategies. To support proactive defense, this paper introduces a novel pr...

  • Article
  • Open Access
2 Citations
524 Views
13 Pages

Shock Waves of the Gerdjikov–Ivanov Equation Using the Adomian Decomposition Schemes

  • Fadwa Althrwi,
  • Aisha S. H. Farhat,
  • A. A. AlQarni,
  • H. O. Bakodah and
  • A. A. Alshaery

20 August 2025

Analytical solutions for the complex-valued nonlinear Gerdjikov–Ivanov (GI) equation have been studied extensively using integrability-based methods. In contrast, numerical and semi-analytical exploration remains relatively underdeveloped. Thus...

  • Feature Paper
  • Article
  • Open Access
561 Views
40 Pages

20 August 2025

To address the increasing demand for computational and communication resources, modern networked systems often rely on heterogeneous servers, including those requiring setup times, such as virtual machines or servers, and others that are always activ...

  • Feature Paper
  • Article
  • Open Access
536 Views
15 Pages

20 August 2025

In this work, we investigate the stability of solutions in a situation where the logarithmic source term competes with the viscoelastic dissipation under acoustic boundary conditions. We assume minimal conditions on the relaxation function g, namely,...

  • Article
  • Open Access
1 Citations
922 Views
38 Pages

20 August 2025

Trapezoidal-valued intuitionistic fuzzy numbers (TrVIFNs) are the real generalizations of intuitionistic fuzzy numbers, interval-valued intuitionistic fuzzy numbers, and triangular intuitionistic fuzzy numbers, which effectively model real-life probl...

  • Article
  • Open Access
557 Views
16 Pages

20 August 2025

Denote by Δ1(x;φ) the error term in the classical Rankin–Selberg problem. Denote by ζ(s) the Riemann zeta-function. We establish an upper bound for this integral ∫0TΔ1(t;φ)ζ12+it2dt. In addition, when 2≤k&le...

  • Feature Paper
  • Article
  • Open Access
633 Views
30 Pages

20 August 2025

The Generalized Inner Product SCALing (GIPSCAL) model is a specialized tool for analyzing square asymmetric tables within asymmetric multidimensional scaling (MDS), with applications in sociology (e.g., social mobility tables) and marketing (e.g., br...

  • Feature Paper
  • Article
  • Open Access
705 Views
30 Pages

20 August 2025

2.5D integrated circuits (ICs), which utilize an interposer to stack multiple dies side by side, represent a promising architecture for improving system performance, integration density, and design flexibility. However, the complex interconnect struc...

  • Article
  • Open Access
621 Views
20 Pages

20 August 2025

This paper introduces a novel hybrid shifted Gegenbauer integral–pseudospectral (HSG-IPS) method to solve the time-fractional Benjamin–Bona–Mahony–Burgers (FBBMB) equation with high accuracy. The approach transforms the equati...

  • Article
  • Open Access
2,062 Views
28 Pages

20 August 2025

This study investigates retailers’ strategic choices between short video marketing (SVM) and live streaming marketing (LSM) in the social media era, with a focus on the synergistic effects and decision-making mechanisms of these two digital mar...

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Mathematics - ISSN 2227-7390