Mansooreh Razmkhah , Mohammad Arashi , Andriette Bekker , Filipe J. Marques
{"title":"Neutrosophic Birnbaum-Saunders distribution with applications","authors":"Mansooreh Razmkhah , Mohammad Arashi , Andriette Bekker , Filipe J. Marques","doi":"10.1016/j.apm.2025.116287","DOIUrl":"10.1016/j.apm.2025.116287","url":null,"abstract":"<div><div>This paper presents an extension of the Birnbaum-Saunders distribution through the incorporation of neutrosophic concepts, aimed at effectively addressing data that is characterized by imprecision, uncertainty, and incompleteness. Our model delivers maximum likelihood parameter estimates, effectively capturing the complete spectrum of interval-based values without compromise. We showcase its benefits in industrial and environmental applications, emphasizing its effectiveness in analyzing uncertain data within real-world scenarios, surpassing traditional statistical methods.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116287"},"PeriodicalIF":4.4,"publicationDate":"2025-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144596862","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mohammad Asghari , Hamid Afshari , Mohamad Y. Jaber , Cory Searcy
{"title":"Weather-aware maritime patrolling with dynamic covering and emission control","authors":"Mohammad Asghari , Hamid Afshari , Mohamad Y. Jaber , Cory Searcy","doi":"10.1016/j.apm.2025.116276","DOIUrl":"10.1016/j.apm.2025.116276","url":null,"abstract":"<div><div>Maritime patrolling operations consider multiple factors, such as the location and movement of possible accident points, participation and routes of vessels of opportunity (VOO), weather conditions, and emissions. A key objective is to have the Coast Guard vessels cover as many accident points as possible. They will do so while minimizing the distance to uncovered accident points and reducing environmental impacts. Other considerations include coordinating VOO, preserving underwater life, and recognizing prohibited areas. This study introduces a novel approach to integrate “Search and Rescue” coverage and maritime transportation activities in a dynamic setting. The primary goals are to maximize coverage, minimize distances to uncovered accident points, and reduce environmental impacts. Because of the complexity of this multi-objective problem, the research employs an enhanced multi-objective particle swarm optimization technique with adaptive operator selection. The findings enhance our understanding of Coast Guard vessel routing and scheduling and establish a comprehensive framework to address meteorological conditions, coverage efficiency, and sustainability in patrolling operations. This study contributes to the evolution of proactive and effective strategies for maritime safety, emphasizing the necessity of integrating environmental considerations into patrolling optimization.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116276"},"PeriodicalIF":4.4,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144588773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hippolyte Lerogeron , Vincent Faucher , Pierre Boivin , Julien Favier
{"title":"LBM-based partitioned coupling for fast transient fluid-structure dynamics","authors":"Hippolyte Lerogeron , Vincent Faucher , Pierre Boivin , Julien Favier","doi":"10.1016/j.apm.2025.116274","DOIUrl":"10.1016/j.apm.2025.116274","url":null,"abstract":"<div><div>This article explores the numerical modeling of fast transient fluid-structure interactions, focusing on a two-way explicit partitioned coupling for realistic and efficient simulations. The proposed approach involves a compressible lattice Boltzmann method (LBM) for fluid dynamics and a finite element code for structural dynamics. An immersed boundary method is used to model the fluid-structure interface. The proposed method is validated against various fluid-structure interactions cases, demonstrating good agreement with experimental and numerical references. The management of multiple scales in space and time optimizes the computational load, achieving efficient space-time resolution for each sub-system independently.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116274"},"PeriodicalIF":4.4,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144572010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An implicit discrete geometric approach for simulating largely stretched viscoelastic threads in space","authors":"Yan Liu , Jianshan Wang , Lei Meng , Qinglai Fan","doi":"10.1016/j.apm.2025.116294","DOIUrl":"10.1016/j.apm.2025.116294","url":null,"abstract":"<div><div>In this paper, we present a novel implicit dynamic simulation algorithm for modeling the behavior of viscoelastic filaments in space, accounting for key forces such as gravity, centrifugal force, and surface tension. The algorithm is built upon the Kirchhoff-Love rod theory and the principle of virtual work, employing discrete geometric approach that accommodates multiple relaxation time spectra and large tensile strains. It encompasses classical models, including elastic beams, Maxwell fluids, Newtonian fluids, and the Oldroyd-B model, with validation confirmed through numerical examples. The approach uses a material point position vector to naturally derive the deformation gradient, effectively handling large axial strains, and focuses on tension, bending, and twisting while neglecting shear deformation to reduce computational costs. By pulling the evolution equation back to the reference configuration, evolution variables are explicitly expressed, avoiding solving nonlinear ordinary differential equations (ODEs), further minimizing computational load. Additionally, an implicit dynamic algorithm based on a discrete geometric approach is developed, capable of computing unsteady flows. The results confirm the algorithm’s effectiveness in simulating the dynamic behavior of viscoelastic filaments, demonstrating its potential for extending geometrically exact theories to practical applications in industrial and material science domains.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116294"},"PeriodicalIF":4.4,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144663557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A lattice Boltzmann method for shallow flows of generalized Newtonian fluids","authors":"Gholamreza Kefayati","doi":"10.1016/j.apm.2025.116286","DOIUrl":"10.1016/j.apm.2025.116286","url":null,"abstract":"<div><div>This study develops a lattice Boltzmann method (LBM) for shallow flows of generalized Newtonian fluids (GNFs), providing a unified framework for modeling both Newtonian and non-Newtonian rheologies. The formulation avoids viscosity-dependent relaxation times and pressure-density coupling, improving both physical consistency and numerical robustness. A novel equilibrium distribution function is introduced, derived directly from the macroscopic governing equations, ensuring fidelity to the underlying physics. Stability is inherently maintained across subcritical and supercritical regimes by dynamically adjusting the mesoscopic velocity via a Froude number–dependent parameter, eliminating the need for complex lattice modifications. This approach extends to the boundaries, where physically consistent conditions are implemented based on the new equilibrium function, allowing accurate mass and momentum exchange regardless of flow regime or rheology. Comprehensive validation against benchmark problems confirms the method's capability to capture stress-dependent behaviors of GNFs, including power-law and viscoplastic fluids. The dam-break case study illustrates how fluid rheology influences wave evolution and demonstrates the model's suitability for real-world studies. The proposed LBM provides a robust and physically grounded tool for simulating environmental engineering scenarios, including flood propagation and debris flows involving non-Newtonian fluids.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116286"},"PeriodicalIF":4.4,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144572011","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A review of high order strong stability preserving two-derivative explicit, implicit, and IMEX methods","authors":"Sigal Gottlieb, Zachary J. Grant","doi":"10.1016/j.apm.2025.116270","DOIUrl":"10.1016/j.apm.2025.116270","url":null,"abstract":"<div><div>High order strong stability preserving time discretizations ensure the nonlinear non-inner-product strong stability properties of spatial discretizations suited for the stable simulation of hyperbolic PDEs in a wide variety of application areas including fluid dynamics, magnetohydrodynamics, semiconductor devices, electromagnetics, and astrophysics. Over the past decade multiderivative time-stepping have been increasingly used for the time-evolution hyperbolic PDEs, so that the strong stability properties of these methods have become important. In this work we review sufficient conditions for a two-derivative multistage method to preserve the strong stability properties of spatial discretizations in a forward Euler and different conditions on the second derivative. In particular we present the strong stability preserving theory for explicit and implicit two-derivative Runge–Kutta schemes, including a special condition on the second derivative under which these implicit methods may be unconditionally strong stability preserving. This special condition is natural for the stiff component of wide range of plasma physics problems, and can be useful in the context of strong stability preserving implicit-explicit multi-derivative Runge–Kutta schemes, where the time-step restriction is then independent of the stiff term. Finally, we present the strong stability preserving theory for implicit-explicit multi-derivative general linear methods, and some novel second and third order methods where the time-step restriction is independent of the stiff term.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116270"},"PeriodicalIF":4.4,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579804","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
N. Rosić , M. Cajić , D. Karličić , S. Adhikari , M. Lazarević
{"title":"Enhanced wave attenuation through inertial amplification in periodic beam-rigid body structure","authors":"N. Rosić , M. Cajić , D. Karličić , S. Adhikari , M. Lazarević","doi":"10.1016/j.apm.2025.116273","DOIUrl":"10.1016/j.apm.2025.116273","url":null,"abstract":"<div><div>We address the fundamental challenge of achieving low-frequency wave attenuation in periodic structures without increasing system mass - a critical limitation in current design of metastructures. Traditionally, low-frequency attenuation has been achieved through the use of local resonators, which can be tuned to a specific low-frequency range by increasing their mass. To overcome this trade-off, we investigate the influence of two inertial amplifiers with distinct configurations: one with auxiliary masses connected to both beam and main mass and another with auxiliary masses suspended between the main mass and a fixed support. The transfer matrix method, combined with the spectral element method, is employed to analyze how design parameters influence the dispersion properties of each system. Our findings show that purposeful structural design of these inertial amplifiers can lead to as much as 50% broader attenuation bands across both high and low-frequency ranges. We also demonstrate near-coupling phenomena between local resonance and Bragg scattering mechanisms, which result in an ultra-wide low-frequency band gap. This study provides a method for robust wave control in periodic structures made of elastic and rigid segments such as buildings and bridges, particularly for low-frequency, lightweight acoustic and seismic isolation.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116273"},"PeriodicalIF":4.4,"publicationDate":"2025-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144570118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A large deformation beam model incorporating the bending-warping effect","authors":"G.H. Ma , Y.L. Pei , L.X. Li","doi":"10.1016/j.apm.2025.116292","DOIUrl":"10.1016/j.apm.2025.116292","url":null,"abstract":"<div><div>A comprehensive large deformation beam model is formulated for planar beams, incorporating bending-warping effects. Beginning with the higher-order kinematics, generalized displacements are defined through weighted integrals across the thickness, forming the basis for strain measures. The kinematics is subsequently re-expressed in an orthogonal form with three distinct terms, which provide the foundation for defining resultant stresses and couples. Constitutive relations for the beam are derived, with the shear coefficient evaluated in an intrinsic and consistent manner. By neglecting the higher-order energy and applying the principle of virtual work, an asymptotic beam model is formulated, encompassing nonlinear equilibrium equations and boundary conditions, thus exemplifying an elegant framework for a beam body. With the present model, the stresses over the cross section of curved beam under large deformations behave as those over the cross section of straight beam under small deformations. The results for straight beams show excellent agreements with the established references or the finite element method. Stresses for pure bending are analytically solved. The significant effect of shear deformation on deflection is further analyzed for a straight cantilever beam under different types of transversely-distributed loading.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116292"},"PeriodicalIF":4.4,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Distributed loading estimation for general factor model","authors":"Guangbao Guo , Yaping Li , Guoqi Qian","doi":"10.1016/j.apm.2025.116280","DOIUrl":"10.1016/j.apm.2025.116280","url":null,"abstract":"<div><div>The exponential growth of data has heightened the need for efficient methods to extract actionable insights from large-scale data sets. The general factor model is lauded for its dimensionality reduction and ability to identify common factors within complex data structures, but faces challenges in scalability due to limitations in parameter estimation techniques. We propose a novel distributed estimation method to improve parameter estimation accuracy and computational speed, followed by two novel schemes: distributed general unilateral load scheme and distributed bilateral load scheme. These schemes are specifically designed to handle the increasing size and fragmented nature of modern data sets by segmenting them into manageable subsets for localized estimation, thereby streamlining computations and reducing iterative processes. Numerical analysis in financial data sets confirms the superior efficacy of these schemes. These schemes not only improve the fidelity of estimation but also significantly decrease computational time. These results demonstrate the robustness and practical applicability of the distributed estimation method in real-world scenarios.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116280"},"PeriodicalIF":4.4,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144556707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Upper bound limit analysis using quadratic velocity elements and power cone programming for solving stability problems in rock masses","authors":"Rui Zhang , Wu Gaoqiao , Yao Xiao","doi":"10.1016/j.apm.2025.116295","DOIUrl":"10.1016/j.apm.2025.116295","url":null,"abstract":"<div><div>This research presents a novel approach to addressing plane strain stability problems in rock masses, obeying the generalized Hoek-Brown failure criterion. The methodology integrates upper bound (UB) finite element limit analysis (FELA) with power cone programming (PCP) techniques. To achieve significantly enhanced UB results, quadratic velocity elements are employed for the discretization of the kinematic theorem. Within the UB formulation, the generalized Hoek-Brown (GHB) yield criterion is represented through a series of linear constraints and two conic constraints—specifically, a quadratic cone and a power cone. This allows the GHB yield criterion to be articulated in its original form without the need for smoothing the yield surface. Three classic examples have been analyzed to verify the feasibility of the proposed method. Comprehensive comparisons between the newly obtained results and existing results from several related references demonstrate that the new method is highly efficient in terms of computation time and capable of generating highly accurate upper bounds when combined with an appropriate mesh adaptivity procedure.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116295"},"PeriodicalIF":4.4,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144596860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}