Applied Mathematical Modelling

Papers
(The TQCC of Applied Mathematical Modelling is 13. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)
ArticleCitations
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach139
Galloping analysis of the main cable in construction: An advanced nonlinear scheme114
Sensitivity analysis of frequency response functions with imaginary parts decoupling based on multicomplex-step perturbation108
Aeroelasticity of membrane airfoils and flexible-chord airfoils with permeable trailing sections108
A novel method for concurrent dynamic topology optimization of hierarchical hybrid structures104
Analytical solution of shallow arbitrarily shaped tunnels in fractional viscoelastic transversely isotropic strata102
Coupling vibration analysis of hub motor driving electric vehicle and sandwich plate road96
Guided regularization and its application for image restoration92
Editorial Board89
Theoretical analysis of transverse and planar vibrations for the piezoceramic disk based on Mindlin plate theory88
An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains82
An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces80
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount77
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress76
A thermodynamic constitutive model based on uncoupled physical mechanisms for polymer-based shape memory composites and its application in 4D printing76
Goal programming model applied to waste paper logistics processes73
Modeling of Multi-stepped Rotor-bearing Systems by the Continuous Segment Method72
Modeling a turbulent multicomponent fluid with variable density using a two-fluid approach71
Time-varying external archive differential evolution algorithm with applications to parallel mechanisms71
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study70
A refined analytical model for the mesh stiffness calculation of plastic gear pairs68
Modeling and predefined-time anti-disturbance control for the aerial refueling phase of receiver aircraft67
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces66
On the nature of constitutive boundary and interface conditions in stress-driven nonlocal integral model for nanobeams66
Effects of membrane polarization, steric repulsion and ion-solvent interactions on electroosmosis through a conical nanopore66
Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures65
Nonconvex tensorial submodule clustering of 2-D images by mining local and global structural information63
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method61
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission60
Bending of hyperelastic beams made of transversely isotropic material in finite elasticity60
Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents60
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting59
An algorithm for finding optimal sensor placement and model uncertainty in data assimilation applied to Riemann problems59
Benchmark solutions for the dynamic analysis of general rotor-bearing system with arbitrary linear boundary conditions58
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system58
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows58
Enhancing wildfire propagation model predictions using aerial swarm-based real-time wind measurements: A conceptual framework56
Ordinary state-based peridynamic formulation for cyclic elastoplastic responses56
Multiscale analysis on free vibration of functionally graded graphene reinforced PMMA composite plates56
Dynamic analysis of composite rod fastening rotor system considering multiple parameter influence56
A novel particle filtering for nonlinear systems with multi-step randomly delayed measurements54
Love-type wave propagation in a coated fluid-saturated fractured poro-viscoelastic layer with sliding contacts and point source effect54
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method54
Characteristic analyzes, experimental testing and control for attitude system of QUAV under disturbance53
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method51
Influences of crack-face electric boundary conditions on stress intensity factors of ferroelectric single crystals51
The effect of mesh discretisation on damage and wear predictions using the Discrete Element Method51
Quantum computing intelligence algorithm for structural topology optimization51
Production decision making considering dual material types and setup time uncertainty48
A novel fuzzy algorithm for assembly precision management47
Resource allocation for Hyphantria cunea invasive management:a novel simulation-based optimization model47
Semiparametric model averaging prediction for case K informatively interval-censored data47
A size-structured model describing flocculation of unicellular algae46
Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures46
Efficiency improvement on the ANCF cable element by using the dot product form of curvature46
EOQ with supply disruptions under different advance information regimes46
Inerter array and its perfect decoupling45
Adaptive affine homogenization method for Visco-hyperelastic composites with imperfect interface45
Birth-pulse models to assess the effects of Wolbachia-carrying mosquito releases on the control of dengue fever44
A new adaptive identification framework for nonlinear multi-input multi-output systems under colored noise44
Coupled bandgaps and wave attenuation in periodic flexoelectric curve nanobeams44
Complex dispersion relations and evanescent waves in periodic magneto-electro curved phononic crystal plates43
Error approximation and bias correction in dynamic problems using a recurrent neural network/finite element hybrid model43
Research on impact vibration of cantilever fluid-conveying pipe with foundation excitation and gap constraint43
Variable order fractional grey model and its application42
Production resource planning for product transition considering learning effects42
The effect of fastener clip fatigue for high-speed railway on vehicle-track dynamic interaction: Numerical analysis and probabilistic evaluation42
A novel modeling framework for a degrading system subject to hierarchical inspection and maintenance policy42
Modelling nutrient deposition from intensive agricultural practices42
Mastering the art: Proficient finite element implementation and robust evaluation of a strain-hardening porous ductile material crack growth prediction model at finite strain42
Corrigendum to: “Dynamic analysis of tapered symmetrically layered beams with interlayer slip” [Appl. Math. Model. 120 (2023) 463–484]41
The fused Kolmogorov–Smirnov screening for ultra-high dimensional semi-competing risks data41
Analysis of frictionless adhesive contact problem between a multi-layer FGPM coated half-plane and a rigid cylindrical insulating indenter41
Editorial Board41
A semi-analytical method for frictional contact analysis between rock mass and concrete linings40
Formulation based on combined loading function strategy to improve the description of the bi-modularity of quasi-brittle material degradation with multiple damage evolution laws40
Unified modeling for clay and sand with a hybrid-driven fabric evolution law40
Semi-analytical study on elastic field of two joined dissimilar materials with interfacial cracks under prescribed loading40
A novel theoretical model of heterogeneous soil-pile interaction for investigating the torsionally loaded pile40
Investigation of the Nonstationary Stochastic Response of Functionally Graded Piezoelectric Material Plates with General Boundary Conditions40
Optimization models for scheduling operations in robotic mobile fulfillment systems40
Multi-objective location-allocation optimization of temporary delivery points for medical supplies during large-scale epidemic outbreaks40
Topology optimization of thin-walled structures with directional straight stiffeners39
Piecewise smooth systems with a pseudo-focus: A normal form approach38
Robust control of rubber–tyred gantry cranes with structural elasticity38
Assessing the multifaceted repercussions of chemical insecticides on vegetable yield and human population: A modeling study38
Spatiotemporal synchronous coupling algorithm for urban rail transit timetables design under dynamic passenger demand38
Analysis of flatness and critical crown of hot-rolled strip based on thermal–mechanical coupled residual stress analytical model38
Residual Gaussian process: A tractable nonparametric Bayesian emulator for multi-fidelity simulations38
AMSLS: Adaptive multi-scale level set method based on local entropy for image segmentation37
Modelling temperature-dependent dynamics of single and mixed infections in a plant virus36
Mathematical modelling for seismic affected zoning of tunnel cavity section under SH wave incidence and shaking table verification36
Electromechanical modelling of l-shaped bending-torsion piezoelectric energy harvesting systems36
A multi-objective approach for designing a tire closed-loop supply chain network considering producer responsibility36
Numerical investigation of plastic strain localization for rock-like materials in the framework of fractional plasticity36
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave35
Stochastic dynamics of a piezoelectric energy harvester with fractional damping under Gaussian colored noise excitation35
The construction method of chaotic system model based on state variables and uncertain variables and its application in image encryption35
Investigation of guided wave propagation in nanoscale layered periodic piezoelectric plates based on Eringen's nonlocal and strain gradient theory34
Vibration isolation performance of a rectangular panel with high-static-low-dynamic stiffness supports34
Further enhancement of the particle shifting technique: Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows34
Nonlinear dynamics and thermal bidirectional coupling characteristics of a rotor-ball bearing system34
Analytical solutions for multilayered pipes with temperature-dependent properties under non-uniform pressure and thermal load34
Parameter influence analysis of stochastic resonance and stochastic P-bifurcation for the shape-memory alloy laminate34
Elastica-plastica theory of Euler-Bernoulli beams subjected to concentrated loads34
The plane thermoelastic analysis of asymmetric collinear crack interactions in one-dimensional hexagonal quasicrystals33
An analytical model for thermoelastic damping in laminated microring resonators33
Population dynamics based on ladder bosonic operators33
Sex-structured model of Wolbachia invasion and design of sex-biased release strategies in Aedes spp mosquitoes populations33
Analytical solution for stress and displacement of a finite thickness soil layer subjected to strip footing33
Multi-objective topology optimization method for multi-axis random vibration based on hybrid cellular automata33
An evolutionary model propounding Anopheles double resistance against insecticides33
A robust unsupervised neural network framework for geometrically nonlinear analysis of inelastic truss structures33
Topology design optimization of nanophotonic devices for energy concentration33
Editorial Board33
Deep bidirectional hierarchical matrix factorization model for hyperspectral unmixing32
Metaheuristic schemes and machine learning techniques: A synergistic perspective32
Gravitational settling of a cell on a high-aspect-ratio nanostructured substrate – An asymptotic modeling approach32
A geometric nonlinear multi-material topology optimization method based on univariate combination interpolation scheme32
A semi-analytical model for rapid prediction of residual stress and deformation in laser powder bed fusion32
A new statistical inference method for multi-stress accelerated life testing based on random variable transformation32
From nonlinear micromorphic to nonlinear micropolar shell theory32
Modeling the mechanical behavior of rock during plastic flow using fractional calculus theory32
An innovative joint-space dynamic theory for rigid multi-axis system - part II: Canonical dynamic equations32
Constraint programming for multi-line parallel partial disassembly line balancing problem with optional common stations31
A novel model for evaluating preload based on spectral problem in system with double-bolted connections31
Cost-effective optimization strategies and sampling plan for Weibull quantiles under type-II censoring31
Selective maintenance of continuously degrading systems with non-identical and stochastically dependent components31
Global dynamics of a periodic brucellosis model with time delay and environmental factors31
A spectral approach for homogenization of diffusion and heterogeneous reaction in porous media31
Policy design of government subsidy for end-of-life solar panel recycling31
Latent model-free adaptive control of nonlinear multivariable processes via virtual dynamic data modeling31
Mesoscale modelling of polymer powder densification due to thermal sintering31
Fix-and-optimize approach for a healthcare facility location/network design problem considering equity and accessibility: A case study31
Event-triggered H∞ control for unknown constrained nonlinear systems with application to robot arm31
Multivariate threshold integer-valued autoregressive processes with explanatory variables30
Analysis on lubrication contact characteristics of imperfect transversely isotropic coating30
A thermo-chemo-mechanically coupled peridynamics for investigating crack behavior in solids30
Generating non-Gaussian rough surfaces using analytical functions and spectral representation method with an iterative algorithm30
Dynamic response of a floating flexible plate to a localised time-periodic and moving load30
Well conditioned mathematical modeling for homogenization of thermo-electro-mechanical behaviors of piezoelectric composites30
Aeroelastic stability analysis of a pyrotechnic separation plate in subsonic airflow30
A unified vibration modeling and dynamic analysis of FRP-FGPGP cylindrical shells under arbitrary boundary conditions30
Vectorial surrogate modeling method for multi-objective reliability design30
A novel lever-type elastic metamaterial model for low-frequency wave attenuation30
The applicable range of the Goodman approximation in non-slipping contact of elastic materials with thermoelectric effects30
Assembly accuracy prediction method of planetary gear train considering bolt-bearing-shaft-gear coupling effects30
Effect of compressible layer on time-dependent behavior of soft-rock large deformation tunnels revealed by mathematical analytical method30
Numerical simulation of buoyancy–driven flow in a human stomach geometry: Comparison of SPH and FVM models29
Exact solution for hygro-thermo-mechanical creep and recovery of viscoelastic laminated beam29
Snow Geese Algorithm: A novel migration-inspired meta-heuristic algorithm for constrained engineering optimization problems29
Longitudinal analysis model for segment lining uplift during shield tunnelling considering shearing dislocation of circumferential joints29
Semi-analytical hybrid approach for modelling smart structures and guided wave-based SHM systems for a laminate with multiple delaminations and surface-mounted inhomogeneities29
Two families of self-adjusting spectral hybrid DL conjugate gradient methods and applications in image denoising29
A coupled LBM-LES-DEM particle flow modeling for microfluidic chip and ultrasonic-based particle aggregation control method29
Numerical simulation of weakly compressible hyper-elastic solids using a conservative pressure-velocity formulation on arbitrary Lagrangian-Eulerian framework28
Dynamic stability analysis of stiff films by element-free method with strain-rotation decomposition28
Editorial Board28
Editorial Board28
Equivalently analytical solution for the large deformation of slender beams under follower loads: a second-order ANCF approach28
Stochastic target-mediated drug disposition model based on birth-death process and its parameter inference using approximate Bayesian computation-MCMC28
Dynamic stability of rotating cantilever meta-sandwich beam subjected to tangential tip non-conservative force28
Surface penalization of self-interpenetration in linear and nonlinear elasticity28
Beyond pull-in angle control of a dual axis torsional micro-actuator considering bending effects28
Analytical approach to the stepped multi-span rotor-bearing system with isotropic elastic boundary conditions28
Internal structure of shock waves: Asymptotic behavior in the inviscid limit and features at small Prandtl numbers27
A coupled electromagnetic-mechanical model and contact behavior of the superconducting coils27
Analytical solution for nonlocal forced vibration of elliptical nanorod under linear and nonlinear external torque27
A numerical study of particle-laden flow around an obstacle: flow evolution and Stokes number effects27
Cooperative optimal train operation algorithm for utilizing regenerative braking energy27
Stochastic mesoscale characterization of ablative materials for atmospheric entry27
Multi-response robust parameter design based on Bayesian mixed effects model27
Adaptive weighted approach for high-dimensional statistical learning and inference27
The non-reciprocal wave propagation in random piezoelectric composites with aligned semi-spheroid inclusions27
Existence, stability and controllability of piecewise impulsive dynamic systems on arbitrary time domain27
Prediction model for blast-induced structural damage based on an optimized Bayes discriminant analysis model27
Vibro-impact analysis and characterization of pipeline conveying fluids with multi-segmented motion-limiting constraints27
Whiteness-based parameter selection for Poisson data in variational image processing26
Optimization of vibration and sound insulation in GPLRC honeycomb structures based on circle chaos mapping and Levy flight-enhanced YDSE with constraints26
Individual and social customers’ joining strategies in a two-stage service system when discount is offered to users of smartphone application26
Topology- and convexity-preserving image segmentation based on image registration26
Global sensitivity analysis for multivariate outputs using generalized RBF-PCE metamodel enhanced by variance-based sequential sampling26
Nonlinear vortex-induced vibration and its mitigation of wind turbines in parked conditions26
A heterogeneous continuum traffic flow model considering mixed connected and autonomous vehicles26
Three link flexible arm robust regulation via proportional retarded control scheme26
A second-order reduced homogenization for nonlinear structures with periodic configurations in cylindrical coordinates26
Numerical analysis of thermal and mechanical characteristics with property maps in complex semiconductor package designs26
Vibration damping behavior of 1D periodic aluminum/epoxy resin composite laminated structures under bending vibration excitation26
Prediction of extreme response of an innovative HSR integral bridge subjected to crosswind and high-speed train26
A unified model for mechanical deformations of single stranded DNA-microbeam biosensors considering surface charge effects25
Harmonic and superharmonic wave propagation in 2D mechanical metamaterials with inertia amplification25
Modeling the uncertainty in epidemiological models through interval analysis considering actual data from two municipalities in Colombia affected by dengue25
Influences of magneto-electro-elastic layer properties of piezoelectric/piezomagnetic composites on dynamic intensity factors25
Optimal design of differentiated credit charging links in mixed-autonomy transportation networks25
Shape feature controlled topology optimization of attached piezoelectric actuators for vibration control of thin-walled smart structures25
Morphing the left atrium geometry: A deeper insight into blood stasis within the left atrial appendage25
Maximizing band gaps of single-phase phononic plates: Isogeometric optimal approach and 3D printing experimental validation25
Time-optimal control strategies for tungiasis diseases with limited resources25
Konenkov’s bending wave on an FGM plate supported by a semi-infinite viscoelastic Pasternak foundation25
Application of perturbation-variation method in large deformation bimodular cylindrical shells: A comparative study of bending theory and membrane theory25
Soil-structure-interaction effects on the flexural vibrations of a cantilever beam25
A dual response surface-based efficient fragility analysis approach of offshore structures under random wave load24
Multi-physics model bias correction with data-driven reduced order techniques: Application to nuclear case studies24
Modeling and nonlinear dynamic analysis of angular velocity system of 2-DOF aerial manipulator24
Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics24
Shear horizontal wave propagation on a piezoelectric substrate with periodic gradient local resonant metasurfaces24
Impact of interfacial imperfections on the Reflection and Transmission phenomenon of plane waves in a Porous-Piezoelectric model24
Hybrid interval model for uncertainty analysis of imprecise or conflicting information24
Nonlinear dynamics analysis of A quad-stable electromagnetic energy harvester24
Active flow control optimisation on SD7003 airfoil at pre and post-stall angles of attack using synthetic jets24
Flutter in functionally graded conical shell under follower force24
A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models24
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method24
A physically-based elastoplastic damage model for quasi-brittle geomaterials under freeze-thaw cycles and loading24
A deposit-refund system for managing the economical circulation of returnable transport items24
Performance analysis of nonlinear vibration energy harvesting system with inelastic barrier under colored noise excitation24
Flexoelectronics of a centrosymmetric semiconductor cylindrical nanoshell24
Theoretical study on the stress intensity factor at the crack tip of a water-bearing rock24
Fast soliton interactions in cubic-quintic nonlinear media with weak dissipation24
Energy stable arbitrary Lagrangian Eulerian finite element scheme for simulating flow dynamics of droplets on non–homogeneous surfaces23
Robust parameter identification of a nonlinear impulsive time-delay system in microbial fed-batch process23
Boundary element method with high order impedance boundary condition for Maxwell’s equations23
Novel algorithm for flexible multibody systems with hybrid uncertainties23
Robust goal programming approach for healthcare network management for perishable products under disruption23
Vertical dynamics analysis and multi-objective optimization of electric vehicle considering the integrated powertrain system23
Data driven modelling approach for design assessment of spacecraft equipment23
Nonlinear isogeometric analysis of magneto-electro-elastic porous nanoplates23
Natural numerical networks for Natura 2000 habitats classification by satellite images23
Statistical analysis of the non-stationary binomial AR(1) model with change point23
Negative binomial community network vector autoregression for multivariate integer-valued time series23
Switched Epidemic Models: A Contact Rate Dependent Analysis23
Melnikov-type method for chaos in a class of hybrid piecewise-smooth systems with impact and noise excitation under unilateral rigid constraint23
The s-version finite element method for non-linear material problems23
Influence of surface and couple stresses on response of elastic substrate under tilted flat indenter23
A robust structure and texture aware model for image Retinex23
Synchronization analysis of a four-motor excitation with torsion spring coupling vibrating system23
Dynamic modeling and verification of rotating compressor blade with crack based on beam element23
Economic order/production quantity (EOQ/EPQ) models with product recovery: A review of mathematical modeling (1967–2022)23
Inspection of dynamic fracture behavior of multiple interfacial cracks emanating from circular holes in functionally graded piezoelectric bi-materials23
Parameter estimations of zero-inflated negative binomial model with incomplete data23
Mixed traffic capacity estimation of autonomous vehicles impact based on empirical data23
Clausius-Duhem inequality for quasi-1D transient flows in variable cross-section area deformable pipes23
Polarized elastic topological states in hexagonal lattices23
Output feedback disturbance rejection control for full-state constrained hydraulic systems with guaranteed tracking performance23
Transfer matrix method for analyzing dynamic response of multi-span elastically supported SFT under moving load23
An L0-regularized global anisotropic gradient prior for single-image de-raining23
Wind driven plantigrade machine capable of moving against the flow22
Subset simulation for probabilistic computer models22
Market proliferation and the impact of locational complexity on network restructuring22
An energy-preserving computational approach for the semilinear space fractional damped Klein–Gordon equation with a generalized scalar potential22
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