Applied Mathematical Modelling

Papers
(The TQCC of Applied Mathematical Modelling is 12. 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 2021-05-01 to 2025-05-01.)
ArticleCitations
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach225
Editorial Board114
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method112
Galloping analysis of the main cable in construction: An advanced nonlinear scheme106
The effect of mesh discretisation on damage and wear predictions using the Discrete Element Method101
Quantum computing intelligence algorithm for structural topology optimization101
Sensitivity analysis of frequency response functions with imaginary parts decoupling based on multicomplex-step perturbation89
Bending of hyperelastic beams made of transversely isotropic material in finite elasticity88
Aeroelasticity of membrane airfoils and flexible-chord airfoils with permeable trailing sections87
Analytical solution of shallow arbitrarily shaped tunnels in fractional viscoelastic transversely isotropic strata85
A novel method for concurrent dynamic topology optimization of hierarchical hybrid structures85
An algorithm for finding optimal sensor placement and model uncertainty in data assimilation applied to Riemann problems82
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces81
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows78
Effects of membrane polarization, steric repulsion and ion-solvent interactions on electroosmosis through a conical nanopore75
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission73
Coupling vibration analysis of hub motor driving electric vehicle and sandwich plate road72
Calibration of a radiation quality model for sparse and uncertain data69
Impact of surface hydrophobicity and ion steric effects on the electroosmotic flow and ion selectivity of a conical nanopore68
Benchmark solutions for the dynamic analysis of general rotor-bearing system with arbitrary linear boundary conditions68
Guided regularization and its application for image restoration66
Production decision making considering dual material types and setup time uncertainty64
Editorial Board63
A novel fuzzy algorithm for assembly precision management63
An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains62
An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces62
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount61
An efficient imperialist competitive algorithm with likelihood assimilation for topology, shape and sizing optimization of truss structures61
A thermodynamic constitutive model based on uncoupled physical mechanisms for polymer-based shape memory composites and its application in 4D printing61
Modeling a turbulent multicomponent fluid with variable density using a two-fluid approach59
Goal programming model applied to waste paper logistics processes59
Multiscale analysis on free vibration of functionally graded graphene reinforced PMMA composite plates59
Theoretical analysis of transverse and planar vibrations for the piezoceramic disk based on Mindlin plate theory58
Characteristic analyzes, experimental testing and control for attitude system of QUAV under disturbance56
A refined analytical model for the mesh stiffness calculation of plastic gear pairs56
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study55
Time-varying external archive differential evolution algorithm with applications to parallel mechanisms55
Influences of crack-face electric boundary conditions on stress intensity factors of ferroelectric single crystals55
Fractional order thermo-viscoelastic theory of biological tissue with dual phase lag heat conduction model54
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system54
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method53
Love-type wave propagation in a coated fluid-saturated fractured poro-viscoelastic layer with sliding contacts and point source effect53
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method53
Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents53
A composite optimization algorithm for Poisson tensor completions without nonnegative constraints based on the generalized Gauss–Newton method53
Modeling and predefined-time anti-disturbance control for the aerial refueling phase of receiver aircraft53
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting52
Enhancing wildfire propagation model predictions using aerial swarm-based real-time wind measurements: A conceptual framework52
Modeling of Multi-stepped Rotor-bearing Systems by the Continuous Segment Method52
A novel particle filtering for nonlinear systems with multi-step randomly delayed measurements51
Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures51
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress51
Dynamic analysis of composite rod fastening rotor system considering multiple parameter influence50
Mathematical modelling for seismic affected zoning of tunnel cavity section under SH wave incidence and shaking table verification49
A novel theoretical model of heterogeneous soil-pile interaction for investigating the torsionally loaded pile49
Semiparametric model averaging prediction for case K informatively interval-censored data49
Piecewise smooth systems with a pseudo-focus: A normal form approach48
Topology optimization of thin-walled structures with directional straight stiffeners47
Formulation based on combined loading function strategy to improve the description of the bi-modularity of quasi-brittle material degradation with multiple damage evolution laws46
Robust control of rubber–tyred gantry cranes with structural elasticity45
Numerical investigation of plastic strain localization for rock-like materials in the framework of fractional plasticity45
Semi-analytical study on elastic field of two joined dissimilar materials with interfacial cracks under prescribed loading45
Vibration isolation performance of a rectangular panel with high-static-low-dynamic stiffness supports45
On new buckling solutions of moderately thick rectangular plates by the symplectic superposition method within the Hamiltonian-system framework44
Electromechanical modelling of l-shaped bending-torsion piezoelectric energy harvesting systems44
Resource allocation for Hyphantria cunea invasive management:a novel simulation-based optimization model44
Elastica-plastica theory of Euler-Bernoulli beams subjected to concentrated loads44
Error approximation and bias correction in dynamic problems using a recurrent neural network/finite element hybrid model43
Efficiency improvement on the ANCF cable element by using the dot product form of curvature43
Complex dispersion relations and evanescent waves in periodic magneto-electro curved phononic crystal plates43
A size-structured model describing flocculation of unicellular algae43
A semi-analytical method for frictional contact analysis between rock mass and concrete linings43
Unified modeling for clay and sand with a hybrid-driven fabric evolution law42
Multi-objective location-allocation optimization of temporary delivery points for medical supplies during large-scale epidemic outbreaks41
The fused Kolmogorov–Smirnov screening for ultra-high dimensional semi-competing risks data41
Modelling nutrient deposition from intensive agricultural practices41
Residual Gaussian process: A tractable nonparametric Bayesian emulator for multi-fidelity simulations41
EOQ with supply disruptions under different advance information regimes41
Bifurcation analysis of a heterogeneous continuum traffic flow model40
Adaptive affine homogenization method for Visco-hyperelastic composites with imperfect interface40
Birth-pulse models to assess the effects of Wolbachia-carrying mosquito releases on the control of dengue fever40
Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures40
Inerter array and its perfect decoupling39
Stochastic dynamics of a piezoelectric energy harvester with fractional damping under Gaussian colored noise excitation39
Coupled bandgaps and wave attenuation in periodic flexoelectric curve nanobeams39
The effect of fastener clip fatigue for high-speed railway on vehicle-track dynamic interaction: Numerical analysis and probabilistic evaluation39
A novel modeling framework for a degrading system subject to hierarchical inspection and maintenance policy38
Analysis of frictionless adhesive contact problem between a multi-layer FGPM coated half-plane and a rigid cylindrical insulating indenter38
Spatiotemporal synchronous coupling algorithm for urban rail transit timetables design under dynamic passenger demand38
Optimization models for scheduling operations in robotic mobile fulfillment systems38
A multi-objective approach for designing a tire closed-loop supply chain network considering producer responsibility38
Assessing the multifaceted repercussions of chemical insecticides on vegetable yield and human population: A modeling study38
Production resource planning for product transition considering learning effects37
Mastering the art: Proficient finite element implementation and robust evaluation of a strain-hardening porous ductile material crack growth prediction model at finite strain37
Modelling temperature-dependent dynamics of single and mixed infections in a plant virus37
Editorial Board37
A new adaptive identification framework for nonlinear multi-input multi-output systems under colored noise37
Corrigendum to: “Dynamic analysis of tapered symmetrically layered beams with interlayer slip” [Appl. Math. Model. 120 (2023) 463–484]37
Research on impact vibration of cantilever fluid-conveying pipe with foundation excitation and gap constraint37
Parameter influence analysis of stochastic resonance and stochastic P-bifurcation for the shape-memory alloy laminate36
Nonlinear dynamics and thermal bidirectional coupling characteristics of a rotor-ball bearing system36
Analysis of flatness and critical crown of hot-rolled strip based on thermal–mechanical coupled residual stress analytical model36
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave35
Investigation of the Nonstationary Stochastic Response of Functionally Graded Piezoelectric Material Plates with General Boundary Conditions35
AMSLS: Adaptive multi-scale level set method based on local entropy for image segmentation35
Impact of merging activities in a supply chain under the Guaranteed Service Model: Centralized and decentralized cases34
The radially nonhomogeneous isotropic spherical shell under a radially varying temperature field34
Variable order fractional grey model and its application34
A semi-analytical model for rapid prediction of residual stress and deformation in laser powder bed fusion33
An analytical model for thermoelastic damping in laminated microring resonators33
Global dynamics of a periodic brucellosis model with time delay and environmental factors33
Investigation of guided wave propagation in nanoscale layered periodic piezoelectric plates based on Eringen's nonlocal and strain gradient theory33
Further enhancement of the particle shifting technique: Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows33
Semi-analytical hybrid approach for modelling smart structures and guided wave-based SHM systems for a laminate with multiple delaminations and surface-mounted inhomogeneities33
A novel lever-type elastic metamaterial model for low-frequency wave attenuation32
Coupled bending and torsional vibration characteristics analysis of inhomogeneous wind turbine tower with variable cross section under elastic constraint32
A thermo-chemo-mechanically coupled peridynamics for investigating crack behavior in solids32
Population dynamics based on ladder bosonic operators32
Constraint programming for multi-line parallel partial disassembly line balancing problem with optional common stations32
Analytical solution for stress and displacement of a finite thickness soil layer subjected to strip footing32
Numerical simulation of weakly compressible hyper-elastic solids using a conservative pressure-velocity formulation on arbitrary Lagrangian-Eulerian framework32
Well conditioned mathematical modeling for homogenization of thermo-electro-mechanical behaviors of piezoelectric composites32
Fix-and-optimize approach for a healthcare facility location/network design problem considering equity and accessibility: A case study32
Modeling the mechanical behavior of rock during plastic flow using fractional calculus theory32
Sex-structured model of Wolbachia invasion and design of sex-biased release strategies in Aedes spp mosquitoes populations32
Deep bidirectional hierarchical matrix factorization model for hyperspectral unmixing31
Analysis on lubrication contact characteristics of imperfect transversely isotropic coating31
Policy design of government subsidy for end-of-life solar panel recycling31
Generating non-Gaussian rough surfaces using analytical functions and spectral representation method with an iterative algorithm31
Exact solution for hygro-thermo-mechanical creep and recovery of viscoelastic laminated beam31
Collisional SPH: A method to model frictional collisions with SPH31
Cost-effective optimization strategies and sampling plan for Weibull quantiles under type-II censoring31
Assembly accuracy prediction method of planetary gear train considering bolt-bearing-shaft-gear coupling effects31
Multi-objective topology optimization method for multi-axis random vibration based on hybrid cellular automata31
Editorial Board31
A spectral approach for homogenization of diffusion and heterogeneous reaction in porous media30
An evolutionary model propounding Anopheles double resistance against insecticides30
Gravitational settling of a cell on a high-aspect-ratio nanostructured substrate – An asymptotic modeling approach30
Analytical solutions for multilayered pipes with temperature-dependent properties under non-uniform pressure and thermal load30
Aeroelastic stability analysis of a pyrotechnic separation plate in subsonic airflow30
The applicable range of the Goodman approximation in non-slipping contact of elastic materials with thermoelectric effects30
A new statistical inference method for multi-stress accelerated life testing based on random variable transformation30
Mesoscale modelling of polymer powder densification due to thermal sintering29
Topology design optimization of nanophotonic devices for energy concentration29
Numerical simulation of buoyancy–driven flow in a human stomach geometry: Comparison of SPH and FVM models29
A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot29
Metaheuristic schemes and machine learning techniques: A synergistic perspective29
Dynamic modeling and analysis of an axially moving and spinning Rayleigh beam based on a time-varying element29
Preface to the special issue of selected papers from the 15th International Conference Dynamical Systems – Theory and Applications (DSTA 2019)29
A unified vibration modeling and dynamic analysis of FRP-FGPGP cylindrical shells under arbitrary boundary conditions29
Snow Geese Algorithm: A novel migration-inspired meta-heuristic algorithm for constrained engineering optimization problems29
An innovative joint-space dynamic theory for rigid multi-axis system - part II: Canonical dynamic equations29
From nonlinear micromorphic to nonlinear micropolar shell theory29
A Noise-Robust Online convolutional coding model and its applications to poisson denoising and image fusion29
Two families of self-adjusting spectral hybrid DL conjugate gradient methods and applications in image denoising29
Effect of compressible layer on time-dependent behavior of soft-rock large deformation tunnels revealed by mathematical analytical method29
A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models28
A novel model for evaluating preload based on spectral problem in system with double-bolted connections28
Longitudinal analysis model for segment lining uplift during shield tunnelling considering shearing dislocation of circumferential joints28
Beyond pull-in angle control of a dual axis torsional micro-actuator considering bending effects28
Vectorial surrogate modeling method for multi-objective reliability design28
A robust unsupervised neural network framework for geometrically nonlinear analysis of inelastic truss structures28
A unified model for mechanical deformations of single stranded DNA-microbeam biosensors considering surface charge effects28
Selective maintenance of continuously degrading systems with non-identical and stochastically dependent components28
Multivariate threshold integer-valued autoregressive processes with explanatory variables28
A deposit-refund system for managing the economical circulation of returnable transport items28
Multi-response robust parameter design based on Bayesian mixed effects model27
Harmonic and superharmonic wave propagation in 2D mechanical metamaterials with inertia amplification27
Dynamic stability analysis of stiff films by element-free method with strain-rotation decomposition27
Nonlinear dynamics analysis of A quad-stable electromagnetic energy harvester27
Equivalently analytical solution for the large deformation of slender beams under follower loads: a second-order ANCF approach27
Performance analysis of nonlinear vibration energy harvesting system with inelastic barrier under colored noise excitation27
A numerical study of particle-laden flow around an obstacle: flow evolution and Stokes number effects27
Fast soliton interactions in cubic-quintic nonlinear media with weak dissipation27
Whiteness-based parameter selection for Poisson data in variational image processing27
Three link flexible arm robust regulation via proportional retarded control scheme27
Surface penalization of self-interpenetration in linear and nonlinear elasticity27
A dual response surface-based efficient fragility analysis approach of offshore structures under random wave load27
Application of perturbation-variation method in large deformation bimodular cylindrical shells: A comparative study of bending theory and membrane theory27
Stochastic target-mediated drug disposition model based on birth-death process and its parameter inference using approximate Bayesian computation-MCMC27
Prediction of extreme response of an innovative HSR integral bridge subjected to crosswind and high-speed train26
Editorial Board26
Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics26
Editorial Board26
Dynamics of carbon nanotubes under thermally induced nanoparticle transport on helical tracks26
Editorial Board26
Dynamic stability of rotating cantilever meta-sandwich beam subjected to tangential tip non-conservative force26
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
Modeling the uncertainty in epidemiological models through interval analysis considering actual data from two municipalities in Colombia affected by dengue26
Analytical approach to the stepped multi-span rotor-bearing system with isotropic elastic boundary conditions25
Maximizing band gaps of single-phase phononic plates: Isogeometric optimal approach and 3D printing experimental validation25
Nonlinear vortex-induced vibration and its mitigation of wind turbines in parked conditions25
The non-reciprocal wave propagation in random piezoelectric composites with aligned semi-spheroid inclusions25
Vibro-impact analysis and characterization of pipeline conveying fluids with multi-segmented motion-limiting constraints25
A heterogeneous continuum traffic flow model considering mixed connected and autonomous vehicles25
Flutter in functionally graded conical shell under follower force25
Cooperative optimal train operation algorithm for utilizing regenerative braking energy25
A new learning curve with fatigue-dependent learning rate25
Internal structure of shock waves: Asymptotic behavior in the inviscid limit and features at small Prandtl numbers25
Flexoelectronics of a centrosymmetric semiconductor cylindrical nanoshell24
A coupled electromagnetic-mechanical model and contact behavior of the superconducting coils24
Shape feature controlled topology optimization of attached piezoelectric actuators for vibration control of thin-walled smart structures24
Modelling and direct numerical simulation of flow and solute dispersion in the spinal subarachnoid space24
Analytical solution for nonlocal forced vibration of elliptical nanorod under linear and nonlinear external torque24
Shear horizontal wave propagation on a piezoelectric substrate with periodic gradient local resonant metasurfaces24
Global sensitivity analysis for multivariate outputs using generalized RBF-PCE metamodel enhanced by variance-based sequential sampling24
Optimal design of differentiated credit charging links in mixed-autonomy transportation networks24
Modeling and nonlinear dynamic analysis of angular velocity system of 2-DOF aerial manipulator24
Time-optimal control strategies for tungiasis diseases with limited resources24
Impact of interfacial imperfections on the Reflection and Transmission phenomenon of plane waves in a Porous-Piezoelectric model24
Existence, stability and controllability of piecewise impulsive dynamic systems on arbitrary time domain24
Active flow control optimisation on SD7003 airfoil at pre and post-stall angles of attack using synthetic jets24
Prediction model for blast-induced structural damage based on an optimized Bayes discriminant analysis model24
Hybrid interval model for uncertainty analysis of imprecise or conflicting information24
Numerical analysis of thermal and mechanical characteristics with property maps in complex semiconductor package designs24
Robust parameter identification of a nonlinear impulsive time-delay system in microbial fed-batch process24
Stochastic mesoscale characterization of ablative materials for atmospheric entry24
A physically-based elastoplastic damage model for quasi-brittle geomaterials under freeze-thaw cycles and loading23
A second-order reduced homogenization for nonlinear structures with periodic configurations in cylindrical coordinates23
Multi-physics model bias correction with data-driven reduced order techniques: Application to nuclear case studies23
Optimization of vibration and sound insulation in GPLRC honeycomb structures based on circle chaos mapping and Levy flight-enhanced YDSE with constraints23
Performance evaluation of non-repairable cyclic phased-mission systems using evidential reasoning rule and multi-valued decision diagrams23
Economic order/production quantity (EOQ/EPQ) models with product recovery: A review of mathematical modeling (1967–2022)23
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method23
Konenkov’s bending wave on an FGM plate supported by a semi-infinite viscoelastic Pasternak foundation23
A heuristic algorithm for optimal cost design of gravity-fed water distribution networks. a real case study23
Statistical analysis of the non-stationary binomial AR(1) model with change point23
Hyperreduced-order modeling of thermally coupled flows23
Vibration damping behavior of 1D periodic aluminum/epoxy resin composite laminated structures under bending vibration excitation23
Morphing the left atrium geometry: A deeper insight into blood stasis within the left atrial appendage23
Influences of magneto-electro-elastic layer properties of piezoelectric/piezomagnetic composites on dynamic intensity factors23
Soil-structure-interaction effects on the flexural vibrations of a cantilever beam23
Micromechanical modeling for the prediction of time-dependent effective properties and macroscopic coupled field response of polymer reinforced piezoelectric composites23
Semi-analytical solutions of static and dynamic degenerate, nondegenerate and functionally graded electro-elastic multilayered plates23
Natural numerical networks for Natura 2000 habitats classification by satellite images22
An energy-preserving computational approach for the semilinear space fractional damped Klein–Gordon equation with a generalized scalar potential22
Mixed traffic capacity estimation of autonomous vehicles impact based on empirical data22
A novel and highly efficient strategy to determine the ‘Worst’ imperfection shape for buckling of cylindrical shell panels22
MCMC‐driven importance samplers22
Multivariate sensitivity-adaptive polynomial chaos expansion for high-dimensional surrogate modeling and uncertainty quantification22
An L0-regularized global anisotropic gradient prior for single-image de-raining22
Parameter estimations of zero-inflated negative binomial model with incomplete data22
An extended multiphase hybrid-stress finite element method for modelling interface crack propagation between two dissimilar materials22
Multi-phase-field modelling of the elastic and buckling behaviour of laminates with ply cracks22
Nonlinear coupling vibrations of graphene composite laminated sheets impacted by particles22
Market proliferation and the impact of locational complexity on network restructuring22
Subset simulation for probabilistic computer models22
Energy stable arbitrary Lagrangian Eulerian finite element scheme for simulating flow dynamics of droplets on non–homogeneous surfaces22
The s-version finite element method for non-linear material problems22
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