Applied Mathematical Modelling

Papers
(The TQCC of Applied Mathematical Modelling is 13. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-10-01 to 2025-10-01.)
ArticleCitations
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach147
Galloping analysis of the main cable in construction: An advanced nonlinear scheme122
Analytical solution of shallow arbitrarily shaped tunnels in fractional viscoelastic transversely isotropic strata118
Editorial Board114
Quantum computing intelligence algorithm for structural topology optimization112
Influences of crack-face electric boundary conditions on stress intensity factors of ferroelectric single crystals108
Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents104
An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains91
An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces90
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount89
A refined analytical model for the mesh stiffness calculation of plastic gear pairs82
Efficient Fourier-acoustic modeling of evanescent wave effects in metasurface absorbers with arbitrarily shaped elements80
Love-type wave propagation in a coated fluid-saturated fractured poro-viscoelastic layer with sliding contacts and point source effect79
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows75
A thermodynamic constitutive model based on uncoupled physical mechanisms for polymer-based shape memory composites and its application in 4D printing73
Sensitivity analysis of frequency response functions with imaginary parts decoupling based on multicomplex-step perturbation69
Effects of membrane polarization, steric repulsion and ion-solvent interactions on electroosmosis through a conical nanopore68
Coupling vibration analysis of hub motor driving electric vehicle and sandwich plate road67
Aeroelasticity of membrane airfoils and flexible-chord airfoils with permeable trailing sections67
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method66
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system65
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress65
A composite optimization algorithm for Poisson tensor completions without nonnegative constraints based on the generalized Gauss–Newton method64
An analytical dynamic stiffness formulation for highly accurate broadband vibro-acoustic response analysis63
Goal programming model applied to waste paper logistics processes63
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces61
Modeling a turbulent multicomponent fluid with variable density using a two-fluid approach61
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission60
Nonconvex tensorial submodule clustering of 2-D images by mining local and global structural information60
An algorithm for finding optimal sensor placement and model uncertainty in data assimilation applied to Riemann problems59
Benchmark solutions for the dynamic analysis of general rotor-bearing system with arbitrary linear boundary conditions58
On the nature of constitutive boundary and interface conditions in stress-driven nonlocal integral model for nanobeams57
Ordinary state-based peridynamic formulation for cyclic elastoplastic responses57
Characteristic analyzes, experimental testing and control for attitude system of QUAV under disturbance56
Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures56
Multiscale analysis on free vibration of functionally graded graphene reinforced PMMA composite plates55
A novel fuzzy algorithm for assembly precision management52
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method51
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study50
Bending of hyperelastic beams made of transversely isotropic material in finite elasticity49
Time-varying external archive differential evolution algorithm with applications to parallel mechanisms49
The effect of mesh discretisation on damage and wear predictions using the Discrete Element Method49
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method49
Enhancing wildfire propagation model predictions using aerial swarm-based real-time wind measurements: A conceptual framework48
Guided regularization and its application for image restoration48
Variance of belief information47
A novel method for concurrent dynamic topology optimization of hierarchical hybrid structures47
Modeling and predefined-time anti-disturbance control for the aerial refueling phase of receiver aircraft47
A novel particle filtering for nonlinear systems with multi-step randomly delayed measurements47
Resource allocation for Hyphantria cunea invasive management:a novel simulation-based optimization model45
Dynamic analysis of composite rod fastening rotor system considering multiple parameter influence45
EOQ with supply disruptions under different advance information regimes45
Semiparametric model averaging prediction for case K informatively interval-censored data45
A size-structured model describing flocculation of unicellular algae45
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting45
Error approximation and bias correction in dynamic problems using a recurrent neural network/finite element hybrid model44
Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures44
A new adaptive identification framework for nonlinear multi-input multi-output systems under colored noise44
Coupled bandgaps and wave attenuation in periodic flexoelectric curve nanobeams44
The fused Kolmogorov–Smirnov screening for ultra-high dimensional semi-competing risks data43
Mastering the art: Proficient finite element implementation and robust evaluation of a strain-hardening porous ductile material crack growth prediction model at finite strain43
The effect of fastener clip fatigue for high-speed railway on vehicle-track dynamic interaction: Numerical analysis and probabilistic evaluation43
Complex dispersion relations and evanescent waves in periodic magneto-electro curved phononic crystal plates43
Spatiotemporal synchronous coupling algorithm for urban rail transit timetables design under dynamic passenger demand42
Modelling temperature-dependent dynamics of single and mixed infections in a plant virus42
Inerter array and its perfect decoupling42
Electromechanical modelling of l-shaped bending-torsion piezoelectric energy harvesting systems41
Vibration isolation performance of a rectangular panel with high-static-low-dynamic stiffness supports41
Efficiency improvement on the ANCF cable element by using the dot product form of curvature41
Topology optimization of thin-walled structures with directional straight stiffeners41
A multi-objective approach for designing a tire closed-loop supply chain network considering producer responsibility41
Parameter influence analysis of stochastic resonance and stochastic P-bifurcation for the shape-memory alloy laminate41
Analysis of flatness and critical crown of hot-rolled strip based on thermal–mechanical coupled residual stress analytical model40
Production resource planning for product transition considering learning effects40
Corrigendum to: “Dynamic analysis of tapered symmetrically layered beams with interlayer slip” [Appl. Math. Model. 120 (2023) 463–484]40
Analysis of frictionless adhesive contact problem between a multi-layer FGPM coated half-plane and a rigid cylindrical insulating indenter40
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave40
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 approach38
Unified modeling for clay and sand with a hybrid-driven fabric evolution law38
Elastica-plastica theory of Euler-Bernoulli beams subjected to concentrated loads38
Editorial Board38
The construction method of chaotic system model based on state variables and uncertain variables and its application in image encryption38
Multi-objective location-allocation optimization of temporary delivery points for medical supplies during large-scale epidemic outbreaks38
Modelling nutrient deposition from intensive agricultural practices38
Editorial Board37
Assessing the multifaceted repercussions of chemical insecticides on vegetable yield and human population: A modeling study37
A novel Hybrid PSO-Heuristic Algorithm with Combinatorial Benders' Cuts for maximal evacuation planning in wildfire disasters37
Formulation based on combined loading function strategy to improve the description of the bi-modularity of quasi-brittle material degradation with multiple damage evolution laws37
Special lognormal diffusion processes with binomial random catastrophes and applications to economic data37
Optimization models for scheduling operations in robotic mobile fulfillment systems36
Semi-analytical study on elastic field of two joined dissimilar materials with interfacial cracks under prescribed loading36
Mathematical modelling for seismic affected zoning of tunnel cavity section under SH wave incidence and shaking table verification36
Robust control of rubber–tyred gantry cranes with structural elasticity36
Nonlinear dynamics and thermal bidirectional coupling characteristics of a rotor-ball bearing system36
A semi-analytical method for frictional contact analysis between rock mass and concrete linings36
A novel theoretical model of heterogeneous soil-pile interaction for investigating the torsionally loaded pile35
Adaptive affine homogenization method for Visco-hyperelastic composites with imperfect interface35
Research on impact vibration of cantilever fluid-conveying pipe with foundation excitation and gap constraint35
A novel modeling framework for a degrading system subject to hierarchical inspection and maintenance policy35
Further enhancement of the particle shifting technique: Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows35
Numerical investigation of plastic strain localization for rock-like materials in the framework of fractional plasticity35
Policy design of government subsidy for end-of-life solar panel recycling34
Sex-structured model of Wolbachia invasion and design of sex-biased release strategies in Aedes spp mosquitoes populations34
Longitudinal analysis model for segment lining uplift during shield tunnelling considering shearing dislocation of circumferential joints34
Deep bidirectional hierarchical matrix factorization model for hyperspectral unmixing34
Analytical solution for stress and displacement of a finite thickness soil layer subjected to strip footing34
An alternative minimization method for TV-image deblurring in tensor space34
Topology design optimization of nanophotonic devices for energy concentration34
AMSLS: Adaptive multi-scale level set method based on local entropy for image segmentation34
An evolutionary model propounding Anopheles double resistance against insecticides33
Analytical solutions for multilayered pipes with temperature-dependent properties under non-uniform pressure and thermal load33
Assembly accuracy prediction method of planetary gear train considering bolt-bearing-shaft-gear coupling effects33
Cost-effective optimization strategies and sampling plan for Weibull quantiles under type-II censoring33
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 model for evaluating preload based on spectral problem in system with double-bolted connections33
Editorial Board33
An analytical model for thermoelastic damping in laminated microring resonators33
Multivariate threshold integer-valued autoregressive processes with explanatory variables33
A new statistical inference method for multi-stress accelerated life testing based on random variable transformation32
Metaheuristic schemes and machine learning techniques: A synergistic perspective32
A geometric nonlinear multi-material topology optimization method based on univariate combination interpolation scheme32
Derivation of experimental debonding outputs for FRP-strengthened concrete samples through a fracture energy-based closed-form approach32
Gravitational settling of a cell on a high-aspect-ratio nanostructured substrate – An asymptotic modeling approach32
From nonlinear micromorphic to nonlinear micropolar shell theory32
Latent model-free adaptive control of nonlinear multivariable processes via virtual dynamic data modeling32
Mesoscale modelling of polymer powder densification due to thermal sintering31
Analysis on lubrication contact characteristics of imperfect transversely isotropic coating31
Generating non-Gaussian rough surfaces using analytical functions and spectral representation method with an iterative algorithm31
Constraint programming for multi-line parallel partial disassembly line balancing problem with optional common stations31
Global dynamics of a periodic brucellosis model with time delay and environmental factors31
Exact solution for hygro-thermo-mechanical creep and recovery of viscoelastic laminated beam31
Multi-objective topology optimization method for multi-axis random vibration based on hybrid cellular automata31
Selective maintenance of continuously degrading systems with non-identical and stochastically dependent components31
Aeroelastic stability analysis of a pyrotechnic separation plate in subsonic airflow31
A thermo-chemo-mechanically coupled peridynamics for investigating crack behavior in solids31
A spectral approach for homogenization of diffusion and heterogeneous reaction in porous media31
A semi-analytical model for rapid prediction of residual stress and deformation in laser powder bed fusion31
Two families of self-adjusting spectral hybrid DL conjugate gradient methods and applications in image denoising30
A novel lever-type elastic metamaterial model for low-frequency wave attenuation30
Well conditioned mathematical modeling for homogenization of thermo-electro-mechanical behaviors of piezoelectric composites30
Fix-and-optimize approach for a healthcare facility location/network design problem considering equity and accessibility: A case study30
Modeling the mechanical behavior of rock during plastic flow using fractional calculus theory30
Numerical simulation of buoyancy–driven flow in a human stomach geometry: Comparison of SPH and FVM models30
Investigation of guided wave propagation in nanoscale layered periodic piezoelectric plates based on Eringen's nonlocal and strain gradient theory30
A robust unsupervised neural network framework for geometrically nonlinear analysis of inelastic truss structures30
Effect of compressible layer on time-dependent behavior of soft-rock large deformation tunnels revealed by mathematical analytical method30
The applicable range of the Goodman approximation in non-slipping contact of elastic materials with thermoelectric effects30
The plane thermoelastic analysis of asymmetric collinear crack interactions in one-dimensional hexagonal quasicrystals29
Distributed Curvature Control of a Continuum Arm with Intermittently Attached Cables29
An innovative joint-space dynamic theory for rigid multi-axis system - part II: Canonical dynamic equations29
Vectorial surrogate modeling method for multi-objective reliability design29
A coupled LBM-LES-DEM particle flow modeling for microfluidic chip and ultrasonic-based particle aggregation control method29
Stochastic target-mediated drug disposition model based on birth-death process and its parameter inference using approximate Bayesian computation-MCMC28
Snow Geese Algorithm: A novel migration-inspired meta-heuristic algorithm for constrained engineering optimization problems28
Editorial Board28
Shape feature controlled topology optimization of attached piezoelectric actuators for vibration control of thin-walled smart structures28
Editorial Board28
Dynamic response of a floating flexible plate to a localised time-periodic and moving load28
Beyond pull-in angle control of a dual axis torsional micro-actuator considering bending effects28
Internal structure of shock waves: Asymptotic behavior in the inviscid limit and features at small Prandtl numbers28
The non-reciprocal wave propagation in random piezoelectric composites with aligned semi-spheroid inclusions28
Event-triggered H∞ control for unknown constrained nonlinear systems with application to robot arm28
Surface penalization of self-interpenetration in linear and nonlinear elasticity28
Whiteness-based parameter selection for Poisson data in variational image processing28
Stochastic mesoscale characterization of ablative materials for atmospheric entry28
Modeling and nonlinear dynamic analysis of angular velocity system of 2-DOF aerial manipulator27
Prediction model for blast-induced structural damage based on an optimized Bayes discriminant analysis model27
Three link flexible arm robust regulation via proportional retarded control scheme27
Harmonic and superharmonic wave propagation in 2D mechanical metamaterials with inertia amplification27
Performance analysis of nonlinear vibration energy harvesting system with inelastic barrier under colored noise excitation27
A unified model for mechanical deformations of single stranded DNA-microbeam biosensors considering surface charge effects27
Existence, stability and controllability of piecewise impulsive dynamic systems on arbitrary time domain27
A second-order reduced homogenization for nonlinear structures with periodic configurations in cylindrical coordinates27
Flexoelectronics of a centrosymmetric semiconductor cylindrical nanoshell27
Dynamic stability of rotating cantilever meta-sandwich beam subjected to tangential tip non-conservative force27
A heterogeneous continuum traffic flow model considering mixed connected and autonomous vehicles27
New analytical laws and applications of interaction potentials with a focus on van der Waals attraction26
Nonlinear vortex-induced vibration and its mitigation of wind turbines in parked conditions26
Prediction of extreme response of an innovative HSR integral bridge subjected to crosswind and high-speed train26
Individual and social customers’ joining strategies in a two-stage service system when discount is offered to users of smartphone application26
Analytical solution for nonlocal forced vibration of elliptical nanorod under linear and nonlinear external torque26
Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics26
Shear horizontal wave propagation on a piezoelectric substrate with periodic gradient local resonant metasurfaces26
Modeling the uncertainty in epidemiological models through interval analysis considering actual data from two municipalities in Colombia affected by dengue26
Adaptive weighted approach for high-dimensional statistical learning and inference26
An adaptive high-order stochastic perturbation collocation method for uncertainty quantification and propagation26
A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models26
Maximizing band gaps of single-phase phononic plates: Isogeometric optimal approach and 3D printing experimental validation25
Hybrid interval model for uncertainty analysis of imprecise or conflicting information25
Topology- and convexity-preserving image segmentation based on image registration25
A deposit-refund system for managing the economical circulation of returnable transport items25
A numerical study of particle-laden flow around an obstacle: flow evolution and Stokes number effects25
Robust parameter identification of a nonlinear impulsive time-delay system in microbial fed-batch process25
Cooperative optimal train operation algorithm for utilizing regenerative braking energy25
Morphing the left atrium geometry: A deeper insight into blood stasis within the left atrial appendage25
Forecasting New Energy Vehicle Sales with Grey Model Incorporating Impact of Policies25
Vibration damping behavior of 1D periodic aluminum/epoxy resin composite laminated structures under bending vibration excitation25
Time-optimal control strategies for tungiasis diseases with limited resources25
Economic order/production quantity (EOQ/EPQ) models with product recovery: A review of mathematical modeling (1967–2022)25
Application of perturbation-variation method in large deformation bimodular cylindrical shells: A comparative study of bending theory and membrane theory25
Flutter in functionally graded conical shell under follower force25
Analytical approach to the stepped multi-span rotor-bearing system with isotropic elastic boundary conditions25
Inspection of dynamic fracture behavior of multiple interfacial cracks emanating from circular holes in functionally graded piezoelectric bi-materials25
Numerical analysis of thermal and mechanical characteristics with property maps in complex semiconductor package designs25
A dual response surface-based efficient fragility analysis approach of offshore structures under random wave load25
Three-dimensional vibrations and instabilities of electron-transporting multi-layered graphene sheets via nonlocal-continuum-based models25
Analytical normalized stress invariant-based yield function to model anisotropic-strength differential effect24
Multi-physics model bias correction with data-driven reduced order techniques: Application to nuclear case studies24
Nonlinear dynamics analysis of A quad-stable electromagnetic energy harvester24
Optimal design of differentiated credit charging links in mixed-autonomy transportation networks24
Equivalently analytical solution for the large deformation of slender beams under follower loads: a second-order ANCF approach24
A physically-based elastoplastic damage model for quasi-brittle geomaterials under freeze-thaw cycles and loading24
Global sensitivity analysis for multivariate outputs using generalized RBF-PCE metamodel enhanced by variance-based sequential sampling24
Active flow control optimisation on SD7003 airfoil at pre and post-stall angles of attack using synthetic jets24
Vibro-impact analysis and characterization of pipeline conveying fluids with multi-segmented motion-limiting constraints24
Konenkov’s bending wave on an FGM plate supported by a semi-infinite viscoelastic Pasternak foundation24
A coupled electromagnetic-mechanical model and contact behavior of the superconducting coils24
Impact of interfacial imperfections on the Reflection and Transmission phenomenon of plane waves in a Porous-Piezoelectric model24
Multi-response robust parameter design based on Bayesian mixed effects model24
Mixed traffic capacity estimation of autonomous vehicles impact based on empirical data23
Energy stable arbitrary Lagrangian Eulerian finite element scheme for simulating flow dynamics of droplets on non–homogeneous surfaces23
A finite volume penalty based segment-to-segment method for frictional contact problems23
Polarized elastic topological states in hexagonal lattices23
Synchronization analysis of a four-motor excitation with torsion spring coupling vibrating system23
Natural numerical networks for Natura 2000 habitats classification by satellite images23
Optimization of vibration and sound insulation in GPLRC honeycomb structures based on circle chaos mapping and Levy flight-enhanced YDSE with constraints23
Theoretical study on the stress intensity factor at the crack tip of a water-bearing rock23
Boundary element method with high order impedance boundary condition for Maxwell’s equations23
An extended multiphase hybrid-stress finite element method for modelling interface crack propagation between two dissimilar materials23
Vibration analysis of radial tire using the 3D rotating hyperelastic composite REF based on ANCF23
Multivariate sensitivity-adaptive polynomial chaos expansion for high-dimensional surrogate modeling and uncertainty quantification23
Optimal resource allocation for rapid convergence to stable healthy state in epidemic spreading models23
Switched Epidemic Models: A Contact Rate Dependent Analysis23
Parameter estimations of zero-inflated negative binomial model with incomplete data23
Influences of magneto-electro-elastic layer properties of piezoelectric/piezomagnetic composites on dynamic intensity factors23
Statistical analysis of the non-stationary binomial AR(1) model with change point23
Clausius-Duhem inequality for quasi-1D transient flows in variable cross-section area deformable pipes23
Robust goal programming approach for healthcare network management for perishable products under disruption23
Nonlocal thermomechanical coupled modeling method for two-dimensional rolling contact using a peridynamic approach23
Modeling of CNT alignment state on the strain sensing characteristics of MWCNT-based nanocomposites23
Subset simulation for probabilistic computer models23
The s-version finite element method for non-linear material problems23
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method23
Performance evaluation of non-repairable cyclic phased-mission systems using evidential reasoning rule and multi-valued decision diagrams23
Data driven modelling approach for design assessment of spacecraft equipment23
A theoretical model for a low-frequency two-stage hybrid vibration isolator with a nonlinear energy sink and a negative stiffness spring22
An L0-regularized global anisotropic gradient prior for single-image de-raining22
Novel algorithm for flexible multibody systems with hybrid uncertainties22
A robust structure and texture aware model for image Retinex22
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