Applied Mathematical Modelling

Papers
(The H4-Index of Applied Mathematical Modelling is 50. 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 2022-05-01 to 2026-05-01.)
ArticleCitations
An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains178
Editorial Board176
Rigid wall retaining a saturated fissured poroelastic rock layer over rigid bedrock under earthquake forces148
A three-model integrated optimization framework for natural gas pipeline capacity operationally efficient and equitable allocation131
Adaptive asynchronous switching tracking algorithm for continuously stirred tank reactors with multiple uncertainties125
Efficient Fourier-acoustic modeling of evanescent wave effects in metasurface absorbers with arbitrarily shaped elements120
Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents118
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces89
Sensitivity analysis of frequency response functions with imaginary parts decoupling based on multicomplex-step perturbation79
Global dynamics of HIV multi-scale model with gene therapy79
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach78
Aeroelasticity of membrane airfoils and flexible-chord airfoils with permeable trailing sections78
Benchmark solutions for the dynamic analysis of general rotor-bearing system with arbitrary linear boundary conditions74
Dynamic analysis of composite rod fastening rotor system considering multiple parameter influence73
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method72
A novel method for concurrent dynamic topology optimization of hierarchical hybrid structures70
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission69
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount69
Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures67
Mass lumping of a dynamic compliance matrix method for use in compliant mechanisms and beam structures63
An analytical dynamic stiffness formulation for highly accurate broadband vibro-acoustic response analysis63
Effects of membrane polarization, steric repulsion and ion-solvent interactions on electroosmosis through a conical nanopore62
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]61
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study61
Thermal-mechanical analysis of a graphene-reinforced nanoplatelets composite piezoelectric plate heated by a sinusoidal thermal loading60
Modeling and predefined-time anti-disturbance control for the aerial refueling phase of receiver aircraft60
Nonlinear seismic amplification of 3D shallow sedimentary basin incorporating source-to-site effects: A full-process modeling approach60
Coupling vibration analysis of hub motor driving electric vehicle and sandwich plate road59
Efficient tracking of ocean eddies using unmanned underwater vehicles58
Finite-time dynamic event-triggered formation control for virtual coupling in urban rail trains58
Wave propagations and high-frequency vibrations in intrinsically mode-reconfigurable resonator by a spatial polarization tailoring58
Love-type wave propagation in a coated fluid-saturated fractured poro-viscoelastic layer with sliding contacts and point source effect58
Guided regularization and its application for image restoration57
Time-varying external archive differential evolution algorithm with applications to parallel mechanisms57
Nonconvex tensorial submodule clustering of 2-D images by mining local and global structural information57
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows56
On the nature of constitutive boundary and interface conditions in stress-driven nonlocal integral model for nanobeams56
Analytical solution of shallow arbitrarily shaped tunnels in fractional viscoelastic transversely isotropic strata55
The effect of mesh discretisation on damage and wear predictions using the Discrete Element Method55
Thermodynamic analyzing the intrinsic mechanisms of intelligent responses in amorphous polymer: Mathematical modelling and application in 4D-printed material55
An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces55
Security mechanisms against malicious strategy attacks in the spatial snowdrift game54
A composite optimization algorithm for Poisson tensor completions without nonnegative constraints based on the generalized Gauss–Newton method54
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting53
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system53
A spectral-fast Voronoi framework based on multivariate Karhunen–Loève expansion for simulation of two-dimensional random fields53
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method52
Ordinary state-based peridynamic formulation for cyclic elastoplastic responses52
A thermodynamic constitutive model based on uncoupled physical mechanisms for polymer-based shape memory composites and its application in 4D printing52
Variance of belief information51
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress50
Dynamic response and vibration control of axially excited cantilevered piping system conveying two-phase flow50
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method50
Galloping analysis of the main cable in construction: An advanced nonlinear scheme50
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