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 2022-08-01 to 2026-08-01.)
ArticleCitations
An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains206
Editorial Board191
Adaptive asynchronous switching tracking algorithm for continuously stirred tank reactors with multiple uncertainties162
Efficient Fourier-acoustic modeling of evanescent wave effects in metasurface absorbers with arbitrarily shaped elements139
Sensitivity analysis of frequency response functions with imaginary parts decoupling based on multicomplex-step perturbation132
Aeroelasticity of membrane airfoils and flexible-chord airfoils with permeable trailing sections130
Benchmark solutions for the dynamic analysis of general rotor-bearing system with arbitrary linear boundary conditions121
A symplectic approach to the anti-plane fracture analysis of V-notched visco-piezoelectric bimaterials incorporating damage effects102
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission86
Mass lumping of a dynamic compliance matrix method for use in compliant mechanisms and beam structures83
Retraction notice to “Syncretic K-shell algorithm for node importance identification and invulnerability evaluation of urban rail transit network” [Appl. Math. Modell. 120 (2023) 400419]78
Thermal-mechanical analysis of a graphene-reinforced nanoplatelets composite piezoelectric plate heated by a sinusoidal thermal loading76
Coupling vibration analysis of hub motor driving electric vehicle and sandwich plate road75
Efficient tracking of ocean eddies using unmanned underwater vehicles74
Love-type wave propagation in a coated fluid-saturated fractured poro-viscoelastic layer with sliding contacts and point source effect74
Wave propagations and high-frequency vibrations in intrinsically mode-reconfigurable resonator by a spatial polarization tailoring73
Quantum computing intelligence algorithm for structural topology optimization72
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method70
Guided regularization and its application for image restoration68
Benchmark analytical in-plane vibration solution for fully clamped quasicrystal plates based on the symplectic superposition method68
Time-varying external archive differential evolution algorithm with applications to parallel mechanisms68
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows66
An analytical dynamic stiffness formulation for highly accurate broadband vibro-acoustic response analysis63
Thermodynamic analyzing the intrinsic mechanisms of intelligent responses in amorphous polymer: Mathematical modelling and application in 4D-printed material63
An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces63
Nonlinear seismic amplification of 3D shallow sedimentary basin incorporating source-to-site effects: A full-process modeling approach62
Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents62
A boundary integral equation-based parametric PINN for 2D steady-state acoustic problems62
A composite optimization algorithm for Poisson tensor completions without nonnegative constraints based on the generalized Gauss–Newton method62
Analytical dynamic modeling and aeroelastic stability of arbitrarily restrained aerospace composite structure with stiffener and external store61
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach61
A novel fuzzy algorithm for assembly precision management61
Dynamical analysis of a functionally graded tube surrounded by a homogeneous infinite medium subjected to SH-waves61
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces60
Analytical solution of shallow arbitrarily shaped tunnels in fractional viscoelastic transversely isotropic strata60
Effects of membrane polarization, steric repulsion and ion-solvent interactions on electroosmosis through a conical nanopore60
Rigid wall retaining a saturated fissured poroelastic rock layer over rigid bedrock under earthquake forces60
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress60
Variance of belief information59
A novel method for concurrent dynamic topology optimization of hierarchical hybrid structures59
Ordinary state-based peridynamic formulation for cyclic elastoplastic responses59
Security mechanisms against malicious strategy attacks in the spatial snowdrift game59
Enhancing wildfire propagation model predictions using aerial swarm-based real-time wind measurements: A conceptual framework58
Phase field fracture in elasto-plastic solids: Numerical implementation and application to transversely isotropic fiber-reinforced composites57
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system56
A spectral-fast Voronoi framework based on multivariate Karhunen–Loève expansion for simulation of two-dimensional random fields56
A three-model integrated optimization framework for natural gas pipeline capacity operationally efficient and equitable allocation55
Nonconvex tensorial submodule clustering of 2-D images by mining local and global structural information55
Dynamic response and vibration control of axially excited cantilevered piping system conveying two-phase flow54
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting53
Finite-time dynamic event-triggered formation control for virtual coupling in urban rail trains52
Thermoelastic damping of thin circular plate with arbitrary boundary considering three-dimensional heat conduction52
Modeling and predefined-time anti-disturbance control for the aerial refueling phase of receiver aircraft52
A thermodynamic constitutive model based on uncoupled physical mechanisms for polymer-based shape memory composites and its application in 4D printing51
On the nature of constitutive boundary and interface conditions in stress-driven nonlocal integral model for nanobeams51
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method51
Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures51
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount50
Global dynamics of HIV multi-scale model with gene therapy50
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study49
Editorial Board49
Integrated attitude dynamics modeling and adaptive control for satellites with two-axis gimbals49
AMSLS: Adaptive multi-scale level set method based on local entropy for image segmentation48
A novel modeling framework for a degrading system subject to hierarchical inspection and maintenance policy48
EOQ with supply disruptions under different advance information regimes48
A nonlinear mixed-frequency grey prediction model with two-stage lag parameter optimization and its application48
Multi-objective location-allocation optimization of temporary delivery points for medical supplies during large-scale epidemic outbreaks47
Elastica-plastica theory of Euler-Bernoulli beams subjected to concentrated loads47
Semi-analytical study on elastic field of two joined dissimilar materials with interfacial cracks under prescribed loading46
Assessing the multifaceted repercussions of chemical insecticides on vegetable yield and human population: A modeling study46
Modelling and analysis of laser flash experiments using the Cattaneo heat equation45
Editorial Board45
Semiparametric model averaging prediction for case K informatively interval-censored data45
Control of a 2D-crane system with payload swing attenuation: An observer-based prescribed-time approach45
Formulation based on combined loading function strategy to improve the description of the bi-modularity of quasi-brittle material degradation with multiple damage evolution laws45
Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures44
Mastering the art: Proficient finite element implementation and robust evaluation of a strain-hardening porous ductile material crack growth prediction model at finite strain44
Non-planar and nonlinear dynamics of wire-wrapped rod subjected to axial flow. Part I: static and dynamic stability44
A size-structured model describing flocculation of unicellular algae44
Three-dimensional fluid-structure-electrical interaction modeling of piezoelectric plates44
Complex dispersion relations and evanescent waves in periodic magneto-electro curved phononic crystal plates44
Sensitivity-based model updating with parameter rejection43
Multivariable grey prediction model for hub bearing life evaluation43
Resource allocation for Hyphantria cunea invasive management:a novel simulation-based optimization model43
Diffusiophoresis in gradients of mixtures of colloidal and molecular-sized ions42
Numerical investigation of plastic strain localization for rock-like materials in the framework of fractional plasticity42
Electromechanical modelling of l-shaped bending-torsion piezoelectric energy harvesting systems42
Corrigendum to: “Dynamic analysis of tapered symmetrically layered beams with interlayer slip” [Appl. Math. Model. 120 (2023) 463–484]42
Piecewise smooth systems with a pseudo-focus: A normal form approach42
Spatiotemporal synchronous coupling algorithm for urban rail transit timetables design under dynamic passenger demand42
Inerter array and its perfect decoupling42
Research on impact vibration of cantilever fluid-conveying pipe with foundation excitation and gap constraint42
Unified modeling for clay and sand with a hybrid-driven fabric evolution law41
Birth-pulse models to assess the effects of Wolbachia-carrying mosquito releases on the control of dengue fever41
Topology optimization of thin-walled structures with directional straight stiffeners41
Simulation-informed transfer learning with dynamic weighted graph neural networks for impact force reconstruction41
Robust control of rubber–tyred gantry cranes with structural elasticity41
The effect of fastener clip fatigue for high-speed railway on vehicle-track dynamic interaction: Numerical analysis and probabilistic evaluation41
Parameter influence analysis of stochastic resonance and stochastic P-bifurcation for the shape-memory alloy laminate41
A novel Hybrid PSO-Heuristic Algorithm with Combinatorial Benders' Cuts for maximal evacuation planning in wildfire disasters41
An efficient method for hybrid reliability analysis with aleatory and evidence-based epistemic uncertainties40
Special lognormal diffusion processes with binomial random catastrophes and applications to economic data40
Optimization of Medical Supplies Allocation Based on the Dynamic Evolution of Public Health Emergencies39
Error approximation and bias correction in dynamic problems using a recurrent neural network/finite element hybrid model39
Analysis of flatness and critical crown of hot-rolled strip based on thermal–mechanical coupled residual stress analytical model39
Coupled bandgaps and wave attenuation in periodic flexoelectric curve nanobeams39
Analysis of frictionless adhesive contact problem between a multi-layer FGPM coated half-plane and a rigid cylindrical insulating indenter39
Vibration isolation performance of a rectangular panel with high-static-low-dynamic stiffness supports38
Review of the applications of different fractional models in engineering38
Time integration algorithms with optimized controllable numerical dissipation for dynamic systems38
Optimization models for scheduling operations in robotic mobile fulfillment systems38
The construction method of chaotic system model based on state variables and uncertain variables and its application in image encryption38
Nonlinear dynamics and thermal bidirectional coupling characteristics of a rotor-ball bearing system38
Assembly accuracy prediction method of planetary gear train considering bolt-bearing-shaft-gear coupling effects37
A multi-objective approach for designing a tire closed-loop supply chain network considering producer responsibility37
Selective maintenance of continuously degrading systems with non-identical and stochastically dependent components37
Mathematical modelling for seismic affected zoning of tunnel cavity section under SH wave incidence and shaking table verification37
A novel theoretical model of heterogeneous soil-pile interaction for investigating the torsionally loaded pile37
Longitudinal analysis model for segment lining uplift during shield tunnelling considering shearing dislocation of circumferential joints37
Observation position selection model for distributed dynamic load identification to minimize error37
An analytical model for thermoelastic damping in laminated microring resonators36
Two families of self-adjusting spectral hybrid DL conjugate gradient methods and applications in image denoising36
Multi-fidelity Bayesian Quadrature for adaptive uncertainty quantification in engineering36
Generating non-Gaussian rough surfaces using analytical functions and spectral representation method with an iterative algorithm36
Gravitational settling of a cell on a high-aspect-ratio nanostructured substrate – An asymptotic modeling approach36
Constraint programming for multi-line parallel partial disassembly line balancing problem with optional common stations36
Mesoscale modelling of polymer powder densification due to thermal sintering36
Sex-structured model of Wolbachia invasion and design of sex-biased release strategies in Aedes spp mosquitoes populations35
Editorial Board35
A recursive solution algorithm for static friction problems in multibody system dynamics35
Latent model-free adaptive control of nonlinear multivariable processes via virtual dynamic data modeling35
Cost-effective optimization strategies and sampling plan for Weibull quantiles under type-II censoring35
The plane thermoelastic analysis of asymmetric collinear crack interactions in one-dimensional hexagonal quasicrystals35
A thermo-chemo-mechanically coupled peridynamics for investigating crack behavior in solids35
Mathematical modelling of chemical detection in porous substrates using sampling coatings34
A novel lever-type elastic metamaterial model for low-frequency wave attenuation34
Distributed curvature control of a continuum arm with intermittently attached cables34
Exact solution for hygro-thermo-mechanical creep and recovery of viscoelastic laminated beam34
A theoretical analysis for static instability of plates in a channel with inclined walls34
A new inventory routing problem with route and schedule unpredictability34
Nonnull asymptotic distributions of three classic criteria in nonlinear Birnbaum-Saunders regressions33
Numerical simulation of buoyancy–driven flow in a human stomach geometry: Comparison of SPH and FVM models33
A geometric nonlinear multi-material topology optimization method based on univariate combination interpolation scheme33
An efficient nonuniform ALE formulation for dynamic analysis of variant-direction sliding plates/shells33
Investigation of guided wave propagation in nanoscale layered periodic piezoelectric plates based on Eringen's nonlocal and strain gradient theory33
An innovative joint-space dynamic theory for rigid multi-axis system - part II: Canonical dynamic equations33
Derivation of experimental debonding outputs for FRP-strengthened concrete samples through a fracture energy-based closed-form approach33
Vibration analysis and control method of internal resonant nonlinear system based on coupled nonlinear mode approach33
Analysis on lubrication contact characteristics of imperfect transversely isotropic coating32
Effect of compressible layer on time-dependent behavior of soft-rock large deformation tunnels revealed by mathematical analytical method32
Dynamic response of a floating flexible plate to a localised time-periodic and moving load32
Modeling of Love-type wave propagation in a fractional poro-viscoelastic layer over a viscoelastic-to-elastic half-space, induced by a Gaussian source32
Signal priority control method for connected transit at urban road intersections considering group energy conservation32
Deep bidirectional hierarchical matrix factorization model for hyperspectral unmixing32
Vectorial surrogate modeling method for multi-objective reliability design32
Semi-analytical hybrid approach for modelling smart structures and guided wave-based SHM systems for a laminate with multiple delaminations and surface-mounted inhomogeneities31
An alternative minimization method for TV-image deblurring in tensor space31
A semi-analytical model for rapid prediction of residual stress and deformation in laser powder bed fusion31
Level-set-based topology optimization method for conjugate heat transfer structure design based on mixing length turbulence model31
A coupled LBM-LES-DEM particle flow modeling for microfluidic chip and ultrasonic-based particle aggregation control method31
Policy design of government subsidy for end-of-life solar panel recycling31
Multi-objective topology optimization method for multi-axis random vibration based on hybrid cellular automata31
Global dynamics of a periodic brucellosis model with time delay and environmental factors31
Modeling the mechanical behavior of rock during plastic flow using fractional calculus theory31
Event-triggered H∞ control for unknown constrained nonlinear systems with application to robot arm31
Snow Geese Algorithm: A novel migration-inspired meta-heuristic algorithm for constrained engineering optimization problems30
Pathogen evolution under strategy changes in vaccination campaigns: A game-theoretic framework30
Internal structure of shock waves: Asymptotic behavior in the inviscid limit and features at small Prandtl numbers30
Multivariate threshold integer-valued autoregressive processes with explanatory variables30
The applicable range of the Goodman approximation in non-slipping contact of elastic materials with thermoelectric effects30
Inverse design of hydroacoustic absorbing metastructures via incorporating multi-material topology optimization into semi-analytical method30
Optimizing HIV antiretroviral therapy strategies: A multi-scale, multi-objective framework for reconciling individual–population trade-offs30
Analytical solution for stress and displacement of a finite thickness soil layer subjected to strip footing30
Equivalently analytical solution for the large deformation of slender beams under follower loads: a second-order ANCF approach29
Konenkov’s bending wave on an FGM plate supported by a semi-infinite viscoelastic Pasternak foundation29
Prediction model for blast-induced structural damage based on an optimized Bayes discriminant analysis model29
A subspace-based identification method for vibrating structures with clearance-type nonlinearities29
Design, modelling and hierarchical progressive multi-objective optimization of motion performance of SCARA parallel robot29
An efficient adaptive time-integration method for second-order nonlinear dynamics29
Modeling the uncertainty in epidemiological models through interval analysis considering actual data from two municipalities in Colombia affected by dengue29
LBM-based partitioned coupling for fast transient fluid-structure dynamics29
Adaptive weighted approach for high-dimensional statistical learning and inference29
Vibro-impact analysis and characterization of pipeline conveying fluids with multi-segmented motion-limiting constraints29
Three link flexible arm robust regulation via proportional retarded control scheme29
A second Piola-Kirchhoff stress-driven homogenization scheme for nonlinear elasticity29
Forecasting new energy vehicle sales with grey model incorporating impact of policies29
A unified model for mechanical deformations of single stranded DNA-microbeam biosensors considering surface charge effects29
The non-reciprocal wave propagation in random piezoelectric composites with aligned semi-spheroid inclusions29
Stochastic mesoscale characterization of ablative materials for atmospheric entry28
Surface penalization of self-interpenetration in linear and nonlinear elasticity28
Robust parameter identification of a nonlinear impulsive time-delay system in microbial fed-batch process28
Three-dimensional vibrations and instabilities of electron-transporting multi-layered graphene sheets via nonlocal-continuum-based models28
Shape feature controlled topology optimization of attached piezoelectric actuators for vibration control of thin-walled smart structures28
Global sensitivity analysis for multivariate outputs using generalized RBF-PCE metamodel enhanced by variance-based sequential sampling28
A second-order reduced homogenization for nonlinear structures with periodic configurations in cylindrical coordinates28
New analytical laws and applications of interaction potentials with a focus on van der Waals attraction28
An adaptive high-order stochastic perturbation collocation method for uncertainty quantification and propagation28
Vibration damping behavior of 1D periodic aluminum/epoxy resin composite laminated structures under bending vibration excitation28
Multi-response robust parameter design based on Bayesian mixed effects model28
Cooperative optimal train operation algorithm for utilizing regenerative braking energy28
A deposit-refund system for managing the economical circulation of returnable transport items28
Flutter in functionally graded conical shell under follower force28
Morphing the left atrium geometry: A deeper insight into blood stasis within the left atrial appendage28
Time-optimal control strategies for tungiasis diseases with limited resources27
Influences of magneto-electro-elastic layer properties of piezoelectric/piezomagnetic composites on dynamic intensity factors27
Economic order/production quantity (EOQ/EPQ) models with product recovery: A review of mathematical modeling (1967–2022)27
Existence, stability and controllability of piecewise impulsive dynamic systems on arbitrary time domain27
Theoretical study on the stress intensity factor at the crack tip of a water-bearing rock27
A central-moment lattice Boltzmann study of bubble interaction and coalescence in shear-thinning viscoelastic fluid27
A heterogeneous continuum traffic flow model considering mixed connected and autonomous vehicles27
Maximizing band gaps of single-phase phononic plates: Isogeometric optimal approach and 3D printing experimental validation27
A new level set method with global alternating minimization algorithm for image segmentation27
Dynamic response of three-dimensional curved floating slab track under harmonic loads27
Modeling and nonlinear dynamic analysis of angular velocity system of 2-DOF aerial manipulator27
Numerical analysis of thermal and mechanical characteristics with property maps in complex semiconductor package designs27
Hybrid interval model for uncertainty analysis of imprecise or conflicting information27
Nonlinear vortex-induced vibration and its mitigation of wind turbines in parked conditions26
A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models26
Nonlinear dynamics analysis of A quad-stable electromagnetic energy harvester26
Flexoelectronics of a centrosymmetric semiconductor cylindrical nanoshell26
Static Bayesian finite element model updating driven by prior information with element displacement residual equation26
Whiteness-based parameter selection for Poisson data in variational image processing26
Spherical indentation over multilayered gels26
Shear horizontal wave propagation on a piezoelectric substrate with periodic gradient local resonant metasurfaces26
Inspection of dynamic fracture behavior of multiple interfacial cracks emanating from circular holes in functionally graded piezoelectric bi-materials26
A coupled electromagnetic-mechanical model and contact behavior of the superconducting coils26
Application of perturbation-variation method in large deformation bimodular cylindrical shells: A comparative study of bending theory and membrane theory26
Analytical solution for nonlocal forced vibration of elliptical nanorod under linear and nonlinear external torque26
Optimal design of differentiated credit charging links in mixed-autonomy transportation networks25
Multi-physics model bias correction with data-driven reduced order techniques: Application to nuclear case studies25
Negative binomial community network vector autoregression for multivariate integer-valued time series25
Harmonic and superharmonic wave propagation in 2D mechanical metamaterials with inertia amplification25
Stability analysis and control of a deformable vehicle for emergency obstacle avoidance during dynamic reconfiguration25
Editorial Board25
Analytical normalized stress invariant-based yield function to model anisotropic-strength differential effect25
Modeling of CNT alignment state on the strain sensing characteristics of MWCNT-based nanocomposites25
Optimization of vibration and sound insulation in GPLRC honeycomb structures based on circle chaos mapping and Levy flight-enhanced YDSE with constraints25
Prediction of extreme response of an innovative HSR integral bridge subjected to crosswind and high-speed train25
Boundary element method with high order impedance boundary condition for Maxwell’s equations25
Optimal resource allocation for rapid convergence to stable healthy state in epidemic spreading models25
Subset simulation for probabilistic computer models24
Uncertainties consideration in elastically heterogeneous fluid-saturated media using first-order second moment stochastic method and Green's function approach24
Langevin dynamic simulations of two- and three-dimensional polymer-particle flocculation for the development of behavioural modification techniques24
Surface effect on frictional contact of piezoelectric material24
Predictive potential of wavelets in environmental forecasting: A comprehensive review of theory and applications24
A safety-factor assisted non-probabilistic reliability-based topology optimization for wings with multi-source uncertainty24
Semi-analytical solutions of static and dynamic degenerate, nondegenerate and functionally graded electro-elastic multilayered plates24
Synchronization analysis of a four-motor excitation with torsion spring coupling vibrating system24
Statistical analysis of the non-stationary binomial AR(1) model with change point24
The thermo-elastic responses of bi-layered structure with the variable thermal conductivity and the non-ideal interfacial condition based on MGL model24
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