Applied Mathematical Modelling

Papers
(The median citation count of Applied Mathematical Modelling is 6. 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 2021-06-01 to 2025-06-01.)
ArticleCitations
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach124
Galloping analysis of the main cable in construction: An advanced nonlinear scheme113
Sensitivity analysis of frequency response functions with imaginary parts decoupling based on multicomplex-step perturbation107
Aeroelasticity of membrane airfoils and flexible-chord airfoils with permeable trailing sections105
A novel method for concurrent dynamic topology optimization of hierarchical hybrid structures104
Analytical solution of shallow arbitrarily shaped tunnels in fractional viscoelastic transversely isotropic strata94
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces93
Effects of membrane polarization, steric repulsion and ion-solvent interactions on electroosmosis through a conical nanopore89
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission88
Coupling vibration analysis of hub motor driving electric vehicle and sandwich plate road86
Calibration of a radiation quality model for sparse and uncertain data82
Impact of surface hydrophobicity and ion steric effects on the electroosmotic flow and ion selectivity of a conical nanopore82
Production decision making considering dual material types and setup time uncertainty75
Guided regularization and its application for image restoration75
Editorial Board72
A novel fuzzy algorithm for assembly precision management72
An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains70
An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces69
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount68
A thermodynamic constitutive model based on uncoupled physical mechanisms for polymer-based shape memory composites and its application in 4D printing66
Goal programming model applied to waste paper logistics processes66
Influences of crack-face electric boundary conditions on stress intensity factors of ferroelectric single crystals65
Theoretical analysis of transverse and planar vibrations for the piezoceramic disk based on Mindlin plate theory65
Modeling of Multi-stepped Rotor-bearing Systems by the Continuous Segment Method64
An algorithm for finding optimal sensor placement and model uncertainty in data assimilation applied to Riemann problems63
Modeling and predefined-time anti-disturbance control for the aerial refueling phase of receiver aircraft63
The effect of mesh discretisation on damage and wear predictions using the Discrete Element Method63
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows62
Benchmark solutions for the dynamic analysis of general rotor-bearing system with arbitrary linear boundary conditions61
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method60
Modeling a turbulent multicomponent fluid with variable density using a two-fluid approach59
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system59
Time-varying external archive differential evolution algorithm with applications to parallel mechanisms58
A refined analytical model for the mesh stiffness calculation of plastic gear pairs57
Bending of hyperelastic beams made of transversely isotropic material in finite elasticity57
Multiscale analysis on free vibration of functionally graded graphene reinforced PMMA composite plates56
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study56
Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures56
Enhancing wildfire propagation model predictions using aerial swarm-based real-time wind measurements: A conceptual framework55
Love-type wave propagation in a coated fluid-saturated fractured poro-viscoelastic layer with sliding contacts and point source effect55
Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents55
Fractional order thermo-viscoelastic theory of biological tissue with dual phase lag heat conduction model53
Characteristic analyzes, experimental testing and control for attitude system of QUAV under disturbance53
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress53
Quantum computing intelligence algorithm for structural topology optimization53
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method53
A novel particle filtering for nonlinear systems with multi-step randomly delayed measurements53
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method52
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting52
Dynamic analysis of composite rod fastening rotor system considering multiple parameter influence51
Editorial Board51
Semiparametric model averaging prediction for case K informatively interval-censored data51
Mathematical modelling for seismic affected zoning of tunnel cavity section under SH wave incidence and shaking table verification50
Formulation based on combined loading function strategy to improve the description of the bi-modularity of quasi-brittle material degradation with multiple damage evolution laws49
Semi-analytical study on elastic field of two joined dissimilar materials with interfacial cracks under prescribed loading48
Electromechanical modelling of l-shaped bending-torsion piezoelectric energy harvesting systems47
Numerical investigation of plastic strain localization for rock-like materials in the framework of fractional plasticity47
Resource allocation for Hyphantria cunea invasive management:a novel simulation-based optimization model46
Vibration isolation performance of a rectangular panel with high-static-low-dynamic stiffness supports46
Elastica-plastica theory of Euler-Bernoulli beams subjected to concentrated loads45
A size-structured model describing flocculation of unicellular algae45
A semi-analytical method for frictional contact analysis between rock mass and concrete linings44
Efficiency improvement on the ANCF cable element by using the dot product form of curvature44
Modelling nutrient deposition from intensive agricultural practices44
Residual Gaussian process: A tractable nonparametric Bayesian emulator for multi-fidelity simulations43
Optimization models for scheduling operations in robotic mobile fulfillment systems43
EOQ with supply disruptions under different advance information regimes43
The fused Kolmogorov–Smirnov screening for ultra-high dimensional semi-competing risks data43
Adaptive affine homogenization method for Visco-hyperelastic composites with imperfect interface43
Multi-objective location-allocation optimization of temporary delivery points for medical supplies during large-scale epidemic outbreaks43
Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures43
Spatiotemporal synchronous coupling algorithm for urban rail transit timetables design under dynamic passenger demand42
Investigation of the Nonstationary Stochastic Response of Functionally Graded Piezoelectric Material Plates with General Boundary Conditions41
Stochastic dynamics of a piezoelectric energy harvester with fractional damping under Gaussian colored noise excitation41
Inerter array and its perfect decoupling41
Topology optimization of thin-walled structures with directional straight stiffeners40
Birth-pulse models to assess the effects of Wolbachia-carrying mosquito releases on the control of dengue fever40
Piecewise smooth systems with a pseudo-focus: A normal form approach40
A new adaptive identification framework for nonlinear multi-input multi-output systems under colored noise39
Modelling temperature-dependent dynamics of single and mixed infections in a plant virus39
Analysis of frictionless adhesive contact problem between a multi-layer FGPM coated half-plane and a rigid cylindrical insulating indenter39
Coupled bandgaps and wave attenuation in periodic flexoelectric curve nanobeams39
Editorial Board38
Mastering the art: Proficient finite element implementation and robust evaluation of a strain-hardening porous ductile material crack growth prediction model at finite strain38
Assessing the multifaceted repercussions of chemical insecticides on vegetable yield and human population: A modeling study38
A novel theoretical model of heterogeneous soil-pile interaction for investigating the torsionally loaded pile38
Corrigendum to: “Dynamic analysis of tapered symmetrically layered beams with interlayer slip” [Appl. Math. Model. 120 (2023) 463–484]38
Analysis of flatness and critical crown of hot-rolled strip based on thermal–mechanical coupled residual stress analytical model38
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave37
Parameter influence analysis of stochastic resonance and stochastic P-bifurcation for the shape-memory alloy laminate37
Unified modeling for clay and sand with a hybrid-driven fabric evolution law37
Production resource planning for product transition considering learning effects37
A multi-objective approach for designing a tire closed-loop supply chain network considering producer responsibility37
AMSLS: Adaptive multi-scale level set method based on local entropy for image segmentation37
Variable order fractional grey model and its application37
Nonlinear dynamics and thermal bidirectional coupling characteristics of a rotor-ball bearing system36
Robust control of rubber–tyred gantry cranes with structural elasticity36
On new buckling solutions of moderately thick rectangular plates by the symplectic superposition method within the Hamiltonian-system framework36
Bifurcation analysis of a heterogeneous continuum traffic flow model36
A novel modeling framework for a degrading system subject to hierarchical inspection and maintenance policy35
Error approximation and bias correction in dynamic problems using a recurrent neural network/finite element hybrid model35
The effect of fastener clip fatigue for high-speed railway on vehicle-track dynamic interaction: Numerical analysis and probabilistic evaluation35
Complex dispersion relations and evanescent waves in periodic magneto-electro curved phononic crystal plates35
Further enhancement of the particle shifting technique: Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows35
An analytical model for thermoelastic damping in laminated microring resonators34
Research on impact vibration of cantilever fluid-conveying pipe with foundation excitation and gap constraint34
Investigation of guided wave propagation in nanoscale layered periodic piezoelectric plates based on Eringen's nonlocal and strain gradient theory34
The radially nonhomogeneous isotropic spherical shell under a radially varying temperature field34
Global dynamics of a periodic brucellosis model with time delay and environmental factors33
Selective maintenance of continuously degrading systems with non-identical and stochastically dependent components33
Analytical solution for stress and displacement of a finite thickness soil layer subjected to strip footing33
Cost-effective optimization strategies and sampling plan for Weibull quantiles under type-II censoring32
Dynamic modeling and analysis of an axially moving and spinning Rayleigh beam based on a time-varying element32
Numerical simulation of weakly compressible hyper-elastic solids using a conservative pressure-velocity formulation on arbitrary Lagrangian-Eulerian framework32
A spectral approach for homogenization of diffusion and heterogeneous reaction in porous media32
A novel model for evaluating preload based on spectral problem in system with double-bolted connections32
Topology design optimization of nanophotonic devices for energy concentration32
Deep bidirectional hierarchical matrix factorization model for hyperspectral unmixing32
Sex-structured model of Wolbachia invasion and design of sex-biased release strategies in Aedes spp mosquitoes populations32
A novel lever-type elastic metamaterial model for low-frequency wave attenuation32
Population dynamics based on ladder bosonic operators32
Multi-objective topology optimization method for multi-axis random vibration based on hybrid cellular automata32
A geometric nonlinear multi-material topology optimization method based on univariate combination interpolation scheme31
An innovative joint-space dynamic theory for rigid multi-axis system - part II: Canonical dynamic equations31
The applicable range of the Goodman approximation in non-slipping contact of elastic materials with thermoelectric effects31
An evolutionary model propounding Anopheles double resistance against insecticides31
Mesoscale modelling of polymer powder densification due to thermal sintering31
A new statistical inference method for multi-stress accelerated life testing based on random variable transformation31
Editorial Board31
Latent model-free adaptive control of nonlinear multivariable processes via virtual dynamic data modeling31
A Noise-Robust Online convolutional coding model and its applications to poisson denoising and image fusion31
Gravitational settling of a cell on a high-aspect-ratio nanostructured substrate – An asymptotic modeling approach31
Policy design of government subsidy for end-of-life solar panel recycling30
Constraint programming for multi-line parallel partial disassembly line balancing problem with optional common stations30
Exact solution for hygro-thermo-mechanical creep and recovery of viscoelastic laminated beam30
A semi-analytical model for rapid prediction of residual stress and deformation in laser powder bed fusion30
Vectorial surrogate modeling method for multi-objective reliability design30
Aeroelastic stability analysis of a pyrotechnic separation plate in subsonic airflow30
From nonlinear micromorphic to nonlinear micropolar shell theory30
Metaheuristic schemes and machine learning techniques: A synergistic perspective30
Numerical simulation of buoyancy–driven flow in a human stomach geometry: Comparison of SPH and FVM models30
Multivariate threshold integer-valued autoregressive processes with explanatory variables29
Modeling the mechanical behavior of rock during plastic flow using fractional calculus theory29
Assembly accuracy prediction method of planetary gear train considering bolt-bearing-shaft-gear coupling effects29
A new inventory routing problem with route and schedule unpredictability29
A robust unsupervised neural network framework for geometrically nonlinear analysis of inelastic truss structures29
Generating non-Gaussian rough surfaces using analytical functions and spectral representation method with an iterative algorithm29
Well conditioned mathematical modeling for homogenization of thermo-electro-mechanical behaviors of piezoelectric composites29
A unified vibration modeling and dynamic analysis of FRP-FGPGP cylindrical shells under arbitrary boundary conditions29
Effect of compressible layer on time-dependent behavior of soft-rock large deformation tunnels revealed by mathematical analytical method29
Analytical solutions for multilayered pipes with temperature-dependent properties under non-uniform pressure and thermal load29
Analysis on lubrication contact characteristics of imperfect transversely isotropic coating29
Fix-and-optimize approach for a healthcare facility location/network design problem considering equity and accessibility: A case study29
A thermo-chemo-mechanically coupled peridynamics for investigating crack behavior in solids29
Semi-analytical hybrid approach for modelling smart structures and guided wave-based SHM systems for a laminate with multiple delaminations and surface-mounted inhomogeneities29
Longitudinal analysis model for segment lining uplift during shield tunnelling considering shearing dislocation of circumferential joints28
A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot28
Application of perturbation-variation method in large deformation bimodular cylindrical shells: A comparative study of bending theory and membrane theory28
A dual response surface-based efficient fragility analysis approach of offshore structures under random wave load28
Equivalently analytical solution for the large deformation of slender beams under follower loads: a second-order ANCF approach28
Snow Geese Algorithm: A novel migration-inspired meta-heuristic algorithm for constrained engineering optimization problems28
Collisional SPH: A method to model frictional collisions with SPH28
Surface penalization of self-interpenetration in linear and nonlinear elasticity28
Dynamic stability analysis of stiff films by element-free method with strain-rotation decomposition28
Beyond pull-in angle control of a dual axis torsional micro-actuator considering bending effects28
Two families of self-adjusting spectral hybrid DL conjugate gradient methods and applications in image denoising28
Multi-response robust parameter design based on Bayesian mixed effects model28
Performance analysis of nonlinear vibration energy harvesting system with inelastic barrier under colored noise excitation28
Fast soliton interactions in cubic-quintic nonlinear media with weak dissipation28
Analytical approach to the stepped multi-span rotor-bearing system with isotropic elastic boundary conditions27
Stochastic target-mediated drug disposition model based on birth-death process and its parameter inference using approximate Bayesian computation-MCMC27
Editorial Board27
Dynamic stability of rotating cantilever meta-sandwich beam subjected to tangential tip non-conservative force27
Editorial Board27
Nonlinear dynamics analysis of A quad-stable electromagnetic energy harvester27
Editorial Board27
Theoretical study on the stress intensity factor at the crack tip of a water-bearing rock27
Prediction of extreme response of an innovative HSR integral bridge subjected to crosswind and high-speed train27
Vibro-impact analysis and characterization of pipeline conveying fluids with multi-segmented motion-limiting constraints26
Cooperative optimal train operation algorithm for utilizing regenerative braking energy26
A coupled electromagnetic-mechanical model and contact behavior of the superconducting coils26
The non-reciprocal wave propagation in random piezoelectric composites with aligned semi-spheroid inclusions26
Stochastic mesoscale characterization of ablative materials for atmospheric entry26
Robust parameter identification of a nonlinear impulsive time-delay system in microbial fed-batch process26
A heuristic algorithm for optimal cost design of gravity-fed water distribution networks. a real case study26
Internal structure of shock waves: Asymptotic behavior in the inviscid limit and features at small Prandtl numbers26
Flexoelectronics of a centrosymmetric semiconductor cylindrical nanoshell26
Numerical analysis of thermal and mechanical characteristics with property maps in complex semiconductor package designs26
Active flow control optimisation on SD7003 airfoil at pre and post-stall angles of attack using synthetic jets26
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method25
Prediction model for blast-induced structural damage based on an optimized Bayes discriminant analysis model25
Global sensitivity analysis for multivariate outputs using generalized RBF-PCE metamodel enhanced by variance-based sequential sampling25
Flutter in functionally graded conical shell under follower force25
A unified model for mechanical deformations of single stranded DNA-microbeam biosensors considering surface charge effects25
Optimization of vibration and sound insulation in GPLRC honeycomb structures based on circle chaos mapping and Levy flight-enhanced YDSE with constraints25
Konenkov’s bending wave on an FGM plate supported by a semi-infinite viscoelastic Pasternak foundation25
Analytical solution for nonlocal forced vibration of elliptical nanorod under linear and nonlinear external torque25
Three link flexible arm robust regulation via proportional retarded control scheme25
Multi-physics model bias correction with data-driven reduced order techniques: Application to nuclear case studies25
Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics25
Modeling and nonlinear dynamic analysis of angular velocity system of 2-DOF aerial manipulator25
Vibration damping behavior of 1D periodic aluminum/epoxy resin composite laminated structures under bending vibration excitation25
Soil-structure-interaction effects on the flexural vibrations of a cantilever beam25
A deposit-refund system for managing the economical circulation of returnable transport items25
Topology- and convexity-preserving image segmentation based on image registration25
Individual and social customers’ joining strategies in a two-stage service system when discount is offered to users of smartphone application25
A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models24
Impact of interfacial imperfections on the Reflection and Transmission phenomenon of plane waves in a Porous-Piezoelectric model24
Time-optimal control strategies for tungiasis diseases with limited resources24
Hybrid interval model for uncertainty analysis of imprecise or conflicting information24
A numerical study of particle-laden flow around an obstacle: flow evolution and Stokes number effects24
Optimal design of differentiated credit charging links in mixed-autonomy transportation networks24
Economic order/production quantity (EOQ/EPQ) models with product recovery: A review of mathematical modeling (1967–2022)24
Shape feature controlled topology optimization of attached piezoelectric actuators for vibration control of thin-walled smart structures24
Harmonic and superharmonic wave propagation in 2D mechanical metamaterials with inertia amplification24
Existence, stability and controllability of piecewise impulsive dynamic systems on arbitrary time domain24
A physically-based elastoplastic damage model for quasi-brittle geomaterials under freeze-thaw cycles and loading24
Morphing the left atrium geometry: A deeper insight into blood stasis within the left atrial appendage24
A second-order reduced homogenization for nonlinear structures with periodic configurations in cylindrical coordinates24
Influences of magneto-electro-elastic layer properties of piezoelectric/piezomagnetic composites on dynamic intensity factors24
A heterogeneous continuum traffic flow model considering mixed connected and autonomous vehicles24
Modeling the uncertainty in epidemiological models through interval analysis considering actual data from two municipalities in Colombia affected by dengue24
Nonlinear vortex-induced vibration and its mitigation of wind turbines in parked conditions23
Statistical analysis of the non-stationary binomial AR(1) model with change point23
An extended multiphase hybrid-stress finite element method for modelling interface crack propagation between two dissimilar materials23
Parameter estimations of zero-inflated negative binomial model with incomplete data23
Data driven modelling approach for design assessment of spacecraft equipment23
Modelling and direct numerical simulation of flow and solute dispersion in the spinal subarachnoid space23
Shear horizontal wave propagation on a piezoelectric substrate with periodic gradient local resonant metasurfaces23
Natural numerical networks for Natura 2000 habitats classification by satellite images23
An L0-regularized global anisotropic gradient prior for single-image de-raining23
Energy stable arbitrary Lagrangian Eulerian finite element scheme for simulating flow dynamics of droplets on non–homogeneous surfaces23
Maximizing band gaps of single-phase phononic plates: Isogeometric optimal approach and 3D printing experimental validation23
Whiteness-based parameter selection for Poisson data in variational image processing23
The s-version finite element method for non-linear material problems23
Mixed traffic capacity estimation of autonomous vehicles impact based on empirical data23
Hyperreduced-order modeling of thermally coupled flows22
A finite volume penalty based segment-to-segment method for frictional contact problems22
Output feedback disturbance rejection control for full-state constrained hydraulic systems with guaranteed tracking performance22
An energy-preserving computational approach for the semilinear space fractional damped Klein–Gordon equation with a generalized scalar potential22
A novel and highly efficient strategy to determine the ‘Worst’ imperfection shape for buckling of cylindrical shell panels22
Fractional structure and texture aware model for image Retinex and low-light enhancement22
Wind driven plantigrade machine capable of moving against the flow22
MCMC‐driven importance samplers22
Nonlocal thermomechanical coupled modeling method for two-dimensional rolling contact using a peridynamic approach22
A robust structure and texture aware model for image Retinex22
Transfer matrix method for analyzing dynamic response of multi-span elastically supported SFT under moving load22
Market proliferation and the impact of locational complexity on network restructuring22
Boundary element method with high order impedance boundary condition for Maxwell’s equations22
Semi-analytical solutions of static and dynamic degenerate, nondegenerate and functionally graded electro-elastic multilayered plates22
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