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 2022-06-01 to 2026-06-01.)
ArticleCitations
An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains186
Editorial Board181
Rigid wall retaining a saturated fissured poroelastic rock layer over rigid bedrock under earthquake forces151
A three-model integrated optimization framework for natural gas pipeline capacity operationally efficient and equitable allocation134
Adaptive asynchronous switching tracking algorithm for continuously stirred tank reactors with multiple uncertainties126
Efficient Fourier-acoustic modeling of evanescent wave effects in metasurface absorbers with arbitrarily shaped elements121
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces119
Sensitivity analysis of frequency response functions with imaginary parts decoupling based on multicomplex-step perturbation91
Aeroelasticity of membrane airfoils and flexible-chord airfoils with permeable trailing sections82
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount79
Benchmark solutions for the dynamic analysis of general rotor-bearing system with arbitrary linear boundary conditions79
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission75
Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures74
Mass lumping of a dynamic compliance matrix method for use in compliant mechanisms and beam structures72
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study71
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]71
Thermal-mechanical analysis of a graphene-reinforced nanoplatelets composite piezoelectric plate heated by a sinusoidal thermal loading70
Coupling vibration analysis of hub motor driving electric vehicle and sandwich plate road69
Love-type wave propagation in a coated fluid-saturated fractured poro-viscoelastic layer with sliding contacts and point source effect65
Finite-time dynamic event-triggered formation control for virtual coupling in urban rail trains63
Wave propagations and high-frequency vibrations in intrinsically mode-reconfigurable resonator by a spatial polarization tailoring62
Efficient tracking of ocean eddies using unmanned underwater vehicles62
Time-varying external archive differential evolution algorithm with applications to parallel mechanisms61
Guided regularization and its application for image restoration61
Thermodynamic analyzing the intrinsic mechanisms of intelligent responses in amorphous polymer: Mathematical modelling and application in 4D-printed material60
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows60
Analytical solution of shallow arbitrarily shaped tunnels in fractional viscoelastic transversely isotropic strata60
An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces60
An analytical dynamic stiffness formulation for highly accurate broadband vibro-acoustic response analysis59
A spectral-fast Voronoi framework based on multivariate Karhunen–Loève expansion for simulation of two-dimensional random fields59
Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents58
On the nature of constitutive boundary and interface conditions in stress-driven nonlocal integral model for nanobeams58
A composite optimization algorithm for Poisson tensor completions without nonnegative constraints based on the generalized Gauss–Newton method58
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system57
Nonlinear seismic amplification of 3D shallow sedimentary basin incorporating source-to-site effects: A full-process modeling approach57
Ordinary state-based peridynamic formulation for cyclic elastoplastic responses57
Variance of belief information56
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting56
Security mechanisms against malicious strategy attacks in the spatial snowdrift game56
Quantum computing intelligence algorithm for structural topology optimization56
A novel fuzzy algorithm for assembly precision management56
Dynamic response and vibration control of axially excited cantilevered piping system conveying two-phase flow55
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress55
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method54
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method54
Galloping analysis of the main cable in construction: An advanced nonlinear scheme54
A thermodynamic constitutive model based on uncoupled physical mechanisms for polymer-based shape memory composites and its application in 4D printing54
Benchmark analytical in-plane vibration solution for fully clamped quasicrystal plates based on the symplectic superposition method53
Modeling and predefined-time anti-disturbance control for the aerial refueling phase of receiver aircraft52
A novel method for concurrent dynamic topology optimization of hierarchical hybrid structures52
Enhancing wildfire propagation model predictions using aerial swarm-based real-time wind measurements: A conceptual framework52
Global dynamics of HIV multi-scale model with gene therapy52
Effects of membrane polarization, steric repulsion and ion-solvent interactions on electroosmosis through a conical nanopore50
Nonconvex tensorial submodule clustering of 2-D images by mining local and global structural information50
Analysis of frictionless adhesive contact problem between a multi-layer FGPM coated half-plane and a rigid cylindrical insulating indenter49
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach49
Editorial Board49
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method49
Mathematical modelling for seismic affected zoning of tunnel cavity section under SH wave incidence and shaking table verification48
Optimization of Medical Supplies Allocation Based on the Dynamic Evolution of Public Health Emergencies48
AMSLS: Adaptive multi-scale level set method based on local entropy for image segmentation48
A nonlinear mixed-frequency grey prediction model with two-stage lag parameter optimization and its application48
EOQ with supply disruptions under different advance information regimes47
Elastica-plastica theory of Euler-Bernoulli beams subjected to concentrated loads47
Error approximation and bias correction in dynamic problems using a recurrent neural network/finite element hybrid model47
A novel modeling framework for a degrading system subject to hierarchical inspection and maintenance policy47
Multi-objective location-allocation optimization of temporary delivery points for medical supplies during large-scale epidemic outbreaks47
Semi-analytical study on elastic field of two joined dissimilar materials with interfacial cracks under prescribed loading46
Review of the applications of different fractional models in engineering46
Assessing the multifaceted repercussions of chemical insecticides on vegetable yield and human population: A modeling study45
Semiparametric model averaging prediction for case K informatively interval-censored data44
Control of a 2D-crane system with payload swing attenuation: An observer-based prescribed-time approach44
Analysis of flatness and critical crown of hot-rolled strip based on thermal–mechanical coupled residual stress analytical model44
Formulation based on combined loading function strategy to improve the description of the bi-modularity of quasi-brittle material degradation with multiple damage evolution laws43
Editorial Board43
Complex dispersion relations and evanescent waves in periodic magneto-electro curved phononic crystal plates42
Non-planar and nonlinear dynamics of wire-wrapped rod subjected to axial flow. Part I: static and dynamic stability42
Nonlinear dynamics and thermal bidirectional coupling characteristics of a rotor-ball bearing system42
A size-structured model describing flocculation of unicellular algae42
Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures42
Topology optimization of thin-walled structures with directional straight stiffeners42
Mastering the art: Proficient finite element implementation and robust evaluation of a strain-hardening porous ductile material crack growth prediction model at finite strain42
A multi-objective approach for designing a tire closed-loop supply chain network considering producer responsibility42
Three-dimensional fluid-structure-electrical interaction modeling of piezoelectric plates41
Sensitivity-based model updating with parameter rejection41
A novel theoretical model of heterogeneous soil-pile interaction for investigating the torsionally loaded pile41
Multivariable grey prediction model for hub bearing life evaluation41
Vibration isolation performance of a rectangular panel with high-static-low-dynamic stiffness supports41
Corrigendum to: “Dynamic analysis of tapered symmetrically layered beams with interlayer slip” [Appl. Math. Model. 120 (2023) 463–484]40
Parameter influence analysis of stochastic resonance and stochastic P-bifurcation for the shape-memory alloy laminate40
Special lognormal diffusion processes with binomial random catastrophes and applications to economic data40
Adaptive affine homogenization method for Visco-hyperelastic composites with imperfect interface40
An efficient method for hybrid reliability analysis with aleatory and evidence-based epistemic uncertainties40
Resource allocation for Hyphantria cunea invasive management:a novel simulation-based optimization model40
Diffusiophoresis in gradients of mixtures of colloidal and molecular-sized ions40
Coupled bandgaps and wave attenuation in periodic flexoelectric curve nanobeams40
Inerter array and its perfect decoupling40
Numerical investigation of plastic strain localization for rock-like materials in the framework of fractional plasticity39
Electromechanical modelling of l-shaped bending-torsion piezoelectric energy harvesting systems39
Research on impact vibration of cantilever fluid-conveying pipe with foundation excitation and gap constraint39
The construction method of chaotic system model based on state variables and uncertain variables and its application in image encryption39
Unified modeling for clay and sand with a hybrid-driven fabric evolution law39
Spatiotemporal synchronous coupling algorithm for urban rail transit timetables design under dynamic passenger demand39
Robust control of rubber–tyred gantry cranes with structural elasticity39
Piecewise smooth systems with a pseudo-focus: A normal form approach38
A novel Hybrid PSO-Heuristic Algorithm with Combinatorial Benders' Cuts for maximal evacuation planning in wildfire disasters38
Optimization models for scheduling operations in robotic mobile fulfillment systems38
The effect of fastener clip fatigue for high-speed railway on vehicle-track dynamic interaction: Numerical analysis and probabilistic evaluation38
Birth-pulse models to assess the effects of Wolbachia-carrying mosquito releases on the control of dengue fever37
Mesoscale modelling of polymer powder densification due to thermal sintering37
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave37
Gravitational settling of a cell on a high-aspect-ratio nanostructured substrate – An asymptotic modeling approach36
Sex-structured model of Wolbachia invasion and design of sex-biased release strategies in Aedes spp mosquitoes populations36
A recursive solution algorithm for static friction problems in multibody system dynamics36
Analytical solution for stress and displacement of a finite thickness soil layer subjected to strip footing36
Semi-analytical hybrid approach for modelling smart structures and guided wave-based SHM systems for a laminate with multiple delaminations and surface-mounted inhomogeneities36
Cost-effective optimization strategies and sampling plan for Weibull quantiles under type-II censoring36
The plane thermoelastic analysis of asymmetric collinear crack interactions in one-dimensional hexagonal quasicrystals36
A novel lever-type elastic metamaterial model for low-frequency wave attenuation35
An alternative minimization method for TV-image deblurring in tensor space35
Latent model-free adaptive control of nonlinear multivariable processes via virtual dynamic data modeling35
Editorial Board35
A new inventory routing problem with route and schedule unpredictability35
A thermo-chemo-mechanically coupled peridynamics for investigating crack behavior in solids35
Assembly accuracy prediction method of planetary gear train considering bolt-bearing-shaft-gear coupling effects35
Modeling of Love-type wave propagation in a fractional poro-viscoelastic layer over a viscoelastic-to-elastic half-space, induced by a Gaussian source35
Aeroelastic stability analysis of a pyrotechnic separation plate in subsonic airflow35
Level-set-based topology optimization method for conjugate heat transfer structure design based on mixing length turbulence model35
Longitudinal analysis model for segment lining uplift during shield tunnelling considering shearing dislocation of circumferential joints35
Mathematical modelling of chemical detection in porous substrates using sampling coatings34
Signal priority control method for connected transit at urban road intersections considering group energy conservation34
Numerical simulation of buoyancy–driven flow in a human stomach geometry: Comparison of SPH and FVM models34
Optimizing HIV antiretroviral therapy strategies: A multi-scale, multi-objective framework for reconciling individual–population trade-offs34
A theoretical analysis for static instability of plates in a channel with inclined walls34
An efficient nonuniform ALE formulation for dynamic analysis of variant-direction sliding plates/shells34
Exact solution for hygro-thermo-mechanical creep and recovery of viscoelastic laminated beam34
Nonnull asymptotic distributions of three classic criteria in nonlinear Birnbaum-Saunders regressions34
Distributed curvature control of a continuum arm with intermittently attached cables34
Two families of self-adjusting spectral hybrid DL conjugate gradient methods and applications in image denoising33
Dynamic response of a floating flexible plate to a localised time-periodic and moving load33
Derivation of experimental debonding outputs for FRP-strengthened concrete samples through a fracture energy-based closed-form approach33
Modeling the mechanical behavior of rock during plastic flow using fractional calculus theory33
An analytical model for thermoelastic damping in laminated microring resonators33
An innovative joint-space dynamic theory for rigid multi-axis system - part II: Canonical dynamic equations33
Generating non-Gaussian rough surfaces using analytical functions and spectral representation method with an iterative algorithm32
The applicable range of the Goodman approximation in non-slipping contact of elastic materials with thermoelectric effects32
Inverse design of hydroacoustic absorbing metastructures via incorporating multi-material topology optimization into semi-analytical method32
Investigation of guided wave propagation in nanoscale layered periodic piezoelectric plates based on Eringen's nonlocal and strain gradient theory32
A robust unsupervised neural network framework for geometrically nonlinear analysis of inelastic truss structures32
A geometric nonlinear multi-material topology optimization method based on univariate combination interpolation scheme32
Vibration analysis and control method of internal resonant nonlinear system based on coupled nonlinear mode approach32
Effect of compressible layer on time-dependent behavior of soft-rock large deformation tunnels revealed by mathematical analytical method32
A semi-analytical model for rapid prediction of residual stress and deformation in laser powder bed fusion31
Multi-fidelity Bayesian Quadrature for adaptive uncertainty quantification in engineering31
Analysis on lubrication contact characteristics of imperfect transversely isotropic coating31
A coupled LBM-LES-DEM particle flow modeling for microfluidic chip and ultrasonic-based particle aggregation control method31
Deep bidirectional hierarchical matrix factorization model for hyperspectral unmixing31
Vectorial surrogate modeling method for multi-objective reliability design31
Global dynamics of a periodic brucellosis model with time delay and environmental factors31
Snow Geese Algorithm: A novel migration-inspired meta-heuristic algorithm for constrained engineering optimization problems31
Constraint programming for multi-line parallel partial disassembly line balancing problem with optional common stations31
Selective maintenance of continuously degrading systems with non-identical and stochastically dependent components31
Policy design of government subsidy for end-of-life solar panel recycling30
Multivariate threshold integer-valued autoregressive processes with explanatory variables30
An evolutionary model propounding Anopheles double resistance against insecticides30
Analytical solutions for multilayered pipes with temperature-dependent properties under non-uniform pressure and thermal load30
Event-triggered H∞ control for unknown constrained nonlinear systems with application to robot arm30
Multi-objective topology optimization method for multi-axis random vibration based on hybrid cellular automata30
Analytical solution for nonlocal forced vibration of elliptical nanorod under linear and nonlinear external torque29
Editorial Board29
Optimal design of differentiated credit charging links in mixed-autonomy transportation networks29
Prediction model for blast-induced structural damage based on an optimized Bayes discriminant analysis model29
Modeling and nonlinear dynamic analysis of angular velocity system of 2-DOF aerial manipulator29
Modeling the uncertainty in epidemiological models through interval analysis considering actual data from two municipalities in Colombia affected by dengue29
Beyond pull-in angle control of a dual axis torsional micro-actuator considering bending effects29
A second Piola-Kirchhoff stress-driven homogenization scheme for nonlinear elasticity29
LBM-based partitioned coupling for fast transient fluid-structure dynamics29
Whiteness-based parameter selection for Poisson data in variational image processing29
Konenkov’s bending wave on an FGM plate supported by a semi-infinite viscoelastic Pasternak foundation29
Forecasting new energy vehicle sales with grey model incorporating impact of policies29
Three link flexible arm robust regulation via proportional retarded control scheme29
Equivalently analytical solution for the large deformation of slender beams under follower loads: a second-order ANCF approach29
The non-reciprocal wave propagation in random piezoelectric composites with aligned semi-spheroid inclusions29
Adaptive weighted approach for high-dimensional statistical learning and inference29
Internal structure of shock waves: Asymptotic behavior in the inviscid limit and features at small Prandtl numbers29
A unified model for mechanical deformations of single stranded DNA-microbeam biosensors considering surface charge effects28
Design, modelling and hierarchical progressive multi-objective optimization of motion performance of SCARA parallel robot28
New analytical laws and applications of interaction potentials with a focus on van der Waals attraction28
Prediction of extreme response of an innovative HSR integral bridge subjected to crosswind and high-speed train28
Spherical indentation over multilayered gels28
Time-optimal control strategies for tungiasis diseases with limited resources28
Vibration damping behavior of 1D periodic aluminum/epoxy resin composite laminated structures under bending vibration excitation28
A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models28
Vibro-impact analysis and characterization of pipeline conveying fluids with multi-segmented motion-limiting constraints28
A second-order reduced homogenization for nonlinear structures with periodic configurations in cylindrical coordinates28
Flutter in functionally graded conical shell under follower force28
Stochastic mesoscale characterization of ablative materials for atmospheric entry28
Shape feature controlled topology optimization of attached piezoelectric actuators for vibration control of thin-walled smart structures28
Static Bayesian finite element model updating driven by prior information with element displacement residual equation28
A subspace-based identification method for vibrating structures with clearance-type nonlinearities28
Surface penalization of self-interpenetration in linear and nonlinear elasticity28
Three-dimensional vibrations and instabilities of electron-transporting multi-layered graphene sheets via nonlocal-continuum-based models28
Hybrid interval model for uncertainty analysis of imprecise or conflicting information28
Morphing the left atrium geometry: A deeper insight into blood stasis within the left atrial appendage28
Shear horizontal wave propagation on a piezoelectric substrate with periodic gradient local resonant metasurfaces28
Nonlinear vortex-induced vibration and its mitigation of wind turbines in parked conditions27
Optimization of vibration and sound insulation in GPLRC honeycomb structures based on circle chaos mapping and Levy flight-enhanced YDSE with constraints27
Cooperative optimal train operation algorithm for utilizing regenerative braking energy27
Theoretical study on the stress intensity factor at the crack tip of a water-bearing rock27
Dynamic response of three-dimensional curved floating slab track under harmonic loads27
A central-moment lattice Boltzmann study of bubble interaction and coalescence in shear-thinning viscoelastic fluid27
Economic order/production quantity (EOQ/EPQ) models with product recovery: A review of mathematical modeling (1967–2022)27
A coupled electromagnetic-mechanical model and contact behavior of the superconducting coils27
Maximizing band gaps of single-phase phononic plates: Isogeometric optimal approach and 3D printing experimental validation27
Nonlinear dynamics analysis of A quad-stable electromagnetic energy harvester27
Influences of magneto-electro-elastic layer properties of piezoelectric/piezomagnetic composites on dynamic intensity factors27
A new level set method with global alternating minimization algorithm for image segmentation27
Robust parameter identification of a nonlinear impulsive time-delay system in microbial fed-batch process27
Numerical analysis of thermal and mechanical characteristics with property maps in complex semiconductor package designs27
A deposit-refund system for managing the economical circulation of returnable transport items26
Application of perturbation-variation method in large deformation bimodular cylindrical shells: A comparative study of bending theory and membrane theory26
Analytical normalized stress invariant-based yield function to model anisotropic-strength differential effect26
Harmonic and superharmonic wave propagation in 2D mechanical metamaterials with inertia amplification26
Stability analysis and control of a deformable vehicle for emergency obstacle avoidance during dynamic reconfiguration25
Inspection of dynamic fracture behavior of multiple interfacial cracks emanating from circular holes in functionally graded piezoelectric bi-materials25
Existence, stability and controllability of piecewise impulsive dynamic systems on arbitrary time domain25
An adaptive high-order stochastic perturbation collocation method for uncertainty quantification and propagation25
Global sensitivity analysis for multivariate outputs using generalized RBF-PCE metamodel enhanced by variance-based sequential sampling25
Multi-physics model bias correction with data-driven reduced order techniques: Application to nuclear case studies25
Multi-response robust parameter design based on Bayesian mixed effects model25
A heterogeneous continuum traffic flow model considering mixed connected and autonomous vehicles25
Flexoelectronics of a centrosymmetric semiconductor cylindrical nanoshell25
Boundary element method with high order impedance boundary condition for Maxwell’s equations24
Micromechanical modeling for the prediction of time-dependent effective properties and macroscopic coupled field response of polymer reinforced piezoelectric composites24
A physically-based elastoplastic damage model for quasi-brittle geomaterials under freeze-thaw cycles and loading24
Energy stable arbitrary Lagrangian Eulerian finite element scheme for simulating flow dynamics of droplets on non–homogeneous surfaces24
A topology optimization method for designing rotating fluid machinery using flow rate maximization formulation24
Wind driven plantigrade machine capable of moving against the flow24
Effects of demand substitution on a multi-product and multi-stage ramp-up production system24
Synchronization analysis of a four-motor excitation with torsion spring coupling vibrating system24
Editorial Board24
Natural numerical networks for Natura 2000 habitats classification by satellite images24
Negative binomial community network vector autoregression for multivariate integer-valued time series24
Hyperreduced-order modeling of thermally coupled flows24
Subset simulation for probabilistic computer models24
Predictive potential of wavelets in environmental forecasting: A comprehensive review of theory and applications24
Surface effect on frictional contact of piezoelectric material23
Mixed traffic capacity estimation of autonomous vehicles impact based on empirical data23
Transfer matrix method for analyzing dynamic response of multi-span elastically supported SFT under moving load23
Switched Epidemic Models: A Contact Rate Dependent Analysis23
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