OOIR: Observatory of International Research

Papers

(The median citation count of European Journal of Applied Mathematics is 1. 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 2020-11-01 to 2024-11-01.)

Article	Citations
Solving high-dimensional optimal stopping problems using deep learning	37
Structure-preserving deep learning	20
Charge transport modelling of Lithium-ion batteries	15
Resilient tracking consensus over dynamic random graphs: A linear system approach	13
Inverse scattering transforms for non-local reverse-space matrix non-linear Schrödinger equations	13
On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime	13
Well-posedness of the Muskat problem in subcritical L_p-Sobolev spaces	11
A reaction–diffusion system with cross-diffusion: Lie symmetry, exact solutions and their applications in the pandemic modelling	9
Strong well-posedness and inverse identification problem of a non-local phase field tumour model with degenerate mobilities	9
A continuum limit for the PageRank algorithm	8
Spikes and localised patterns for a novel Schnakenberg model in the semi-strong interaction regime	7
Eigenoscillations in an angular domain and spectral properties of functional equations	7
Understanding rapid charge and discharge in nano-structured lithium iron phosphate cathodes	7
Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility	7
Extended symmetry analysis of remarkable (1+2)-dimensional Fokker–Planck equation	6
Dynamics of an infection age-space structured cholera model with Neumann boundary condition	6
The stability analysis of a 2D Keller–Segel–Navier–Stokes system in fast signal diffusion	6
Linear evolution equations on the half-line with dynamic boundary conditions	6
Asymptotic propagations of a nonlocal dispersal population model with shifting habitats	6
Connections between deep learning and partial differential equations	6
Leveraging memory effects and gradient information in consensus-based optimisation: On global convergence in mean-field law	6
Direction-dependent turning leads to anisotropic diffusion and persistence	6
Resilience of dynamical systems	5
Homogenised model for the electrical current distribution within a submerged arc furnace for silicon production	5
Profiling ponded soil surface in saturated seepage into drain-line sink: Kalashnikov’s method of lateral leaching revisited	5

On symmetric wedge mode of an elastic solid	5
Asymptotic and transient dynamics of SEIR epidemic models on weighted networks	5
Exact nonclassical symmetry solutions of Lotka–Volterra-type population systems	5
On a reaction–diffusion system modelling infectious diseases without lifetime immunity	4
Wave propagation in a diffusive SAIV epidemic model with time delays	4
Data-driven entropic spatially inhomogeneous evolutionary games	4
Graph interpolating activation improves both natural and robust accuracies in data-efficient deep learning	4
Dispersive fractalisation in linear and nonlinear Fermi–Pasta–Ulam–Tsingou lattices	4
-coupling mechanisms are sufficient to obtain exponential decay in strain gradient elasticity	4
A homogenised model for the motion of evaporating fronts in porous media	4
Hitting times for second-order random walks	4
A nonconservative kinetic framework under the action of an external force field: Theoretical results with application inspired to ecology	4
Variational model with nonstandard growth conditions for restoration of satellite optical images using synthetic aperture radar	3
On travelling wave solutions of a model of a liquid film flowing down a fibre	3
Two approximate symmetry frameworks for nonlinear partial differential equations with a small parameter: Comparisons, relations, approximate solutions	3
Generalised solution to a 2D parabolic-parabolic chemotaxis system for urban crime: Global existence and large-time behaviour	3
Asymptotics of the principal eigenvalue of the Laplacian in 2D periodic domains with small traps	3
Cahn–Hilliard equations on an evolving surface	3
Impacts of noise on quenching of some models arising in MEMS technology	3
Symmetry actions and brackets for adjoint-symmetries. I: Main results and applications	3
Symmetry actions and brackets for adjoint-symmetries. II: Physical examples	3
Fluctuation response patterns of network dynamics – An introduction	3
Geometric series expansion of the Neumann–Poincaré operator: Application to composite materials	3
Analysis and numerical simulations of travelling waves due to plant–soil negative feedback	3
Instability of axisymmetric flow in thermocapillary liquid bridges: Kinetic and thermal energy budgets for two-phase flow with temperature-dependent material properties	3
A data-driven kinetic model for opinion dynamics with social network contacts	2
Leidenfrost levitation of a spherical particle above a liquid bath: Evolution of the vapour-film morphology with particle size	2
Dynamics and steady state of squirmer motion in liquid crystal	2
The fragmentation equation with size diffusion: Well posedness and long-term behaviour	2
Postponing production exponentially enhances the molecular memory of a stochastic switch	2
Comparing the best-reply strategy and mean-field games: The stationary case	2
Homogenisation applied to thermal radiation in porous media	2
Hertzian and adhesive plane models of contact of two inhomogeneous elastic bodies	2
A spectral modelling approach for fluid flow into a line sink in a confined aquifer	2
Dimension reduction analysis of a three-dimensional thin elastic plate reinforced with fractal ribbons	2
Constrained exact boundary controllability of a semilinear model for pipeline gas flow	2
A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells	2
Slow passage through the Busse balloon – predicting steps on the Eckhaus staircase	2
Solving two-dimensional H(curl)-elliptic interface systems with optimal convergence on unfitted meshes	1
On a repulsion Keller–Segel system with a logarithmic sensitivity	1
Inhomogeneous Helmholtz equations in wave guides – existence and uniqueness results with energy methods	1
Opinion formation on evolving network: the DPA method applied to a nonlocal cross-diffusion PDE-ODE system	1
A Laplace transform approach to direct and inverse problems for multi-compartment models	1
Gradient-based parameter calibration of an anisotropic interaction model for pedestrian dynamics	1
On a class of nonlocal continuity equations on graphs	1
Steady state diffusion in tubular structures: Assessment of one-dimensional models	1
On degenerate reaction-diffusion epidemic models with mass action or standard incidence mechanism	1
Consensus-based optimisation with truncated noise	1
A proposed screening algorithm for bone remodelling	1
Expansions for the linear-elastic contribution to the self-interaction force of dislocation curves	1

Network-based kinetic models: Emergence of a statistical description of the graph topology	1
Homogenisation of a two-phase problem with nonlinear dynamic Wentzell-interface condition for connected–disconnected porous media	1
Diffuse-interface approximation and weak–strong uniqueness of anisotropic mean curvature flow	1
Local well-posedness for Frémond’s model of complete damage in elastic solids	1
Projective invariants of images	1
On macrosegregation in a binary alloy undergoing solidification shrinkage	1
Variational inequalities arising from credit rating migration with buffer zone	1
Positive solutions to the prey–predator equations with dormancy of predators	1
Existence and uniqueness of solutions to a flow and transport problem with degenerating coefficients	1
Efficient simulation of coupled gas and power networks under uncertain demands	1
Dynamic aspects of tumour–immune system interaction under a periodic immunotherapy	1
Recurrent and chaotic outbreaks in SIR model	1
Modelling viscoelastic wave phenomenon by homogenisation of the poroelasticity equations	1
Modelling, simulation and optimisation of parabolic trough power plants	1
Identifiability of stochastically modelled reaction networks	1
Convergence to a self-similar solution for a one-phase Stefan problem arising in corrosion theory	1
Dynamics of a delayed population patch model with the dispersion matrix incorporating population loss	1
From NeurODEs to AutoencODEs: A mean-field control framework for width-varying neural networks	1
Unified framework for the separation property in binary phase-segregation processes with singular entropy densities	1
Mean-field models for segregation dynamics	1
Increasing stability for the inverse source problem in elastic waves with attenuation	1