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 2020-03-01 to 2024-03-01.)

Article	Citations
Solving parametric PDE problems with artificial neural networks	92
Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion	50
Solving high-dimensional optimal stopping problems using deep learning	30
Deep learning models for global coordinate transformations that linearise PDEs	28
Learning and meta-learning of stochastic advection–diffusion–reaction systems from sparse measurements	22
Structure-preserving deep learning	17
A new class of hyperbolic variational–hemivariational inequalities driven by non-linear evolution equations	15
A critical virus production rate for efficiency of oncolytic virotherapy	14
A multi-level procedure for enhancing accuracy of machine learning algorithms	14
Continuous-domain assignment flows	12
Extended Stefan problem for the solidification of binary alloys in a sphere	12
Resilient tracking consensus over dynamic random graphs: A linear system approach	10
On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime	10
Well-posedness of the Muskat problem in subcritical L_p-Sobolev spaces	9
Inverse scattering transforms for non-local reverse-space matrix non-linear Schrödinger equations	9
The amyloid cascade hypothesis and Alzheimer’s disease: A mathematical model	9
Charge transport modelling of Lithium-ion batteries	8
On small-time similarity-solution behaviour in the solidification shrinkage of binary alloys	8
Edge corrections for parallel-plate capacitors	7
Spikes and localised patterns for a novel Schnakenberg model in the semi-strong interaction regime	7
Strong well-posedness and inverse identification problem of a non-local phase field tumour model with degenerate mobilities	7
A continuum limit for the PageRank algorithm	7
Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model	7
A novel Landau-de Gennes model with quartic elastic terms	6
Asymptotic propagations of a nonlocal dispersal population model with shifting habitats	6

Understanding rapid charge and discharge in nano-structured lithium iron phosphate cathodes	6
A reaction–diffusion system with cross-diffusion: Lie symmetry, exact solutions and their applications in the pandemic modelling	6
Asymptotic and transient dynamics of SEIR epidemic models on weighted networks	6
Dynamics of an infection age-space structured cholera model with Neumann boundary condition	6
Relaxation of the Cahn–Hilliard equation with singular single-well potential and degenerate mobility	5
Direction-dependent turning leads to anisotropic diffusion and persistence	5
Thin-layer solutions of the Helmholtz equation	5
Connections between deep learning and partial differential equations	5
Eigenoscillations in an angular domain and spectral properties of functional equations	5
Global and exponential attractor of the repulsive Keller–Segel model with logarithmic sensitivity	5
The stability analysis of a 2D Keller–Segel–Navier–Stokes system in fast signal diffusion	5
Linear evolution equations on the half-line with dynamic boundary conditions	5
A reaction–diffusion epidemic model with incubation period in almost periodic environments	5
Profiling ponded soil surface in saturated seepage into drain-line sink: Kalashnikov’s method of lateral leaching revisited	5
Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility	5
On symmetric wedge mode of an elastic solid	4
Exact nonclassical symmetry solutions of Lotka–Volterra-type population systems	4
Fano resonance in metallic grating via strongly coupled subwavelength resonators	4
Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis–haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more)	4
On a reaction–diffusion system modelling infectious diseases without lifetime immunity	4
Data-driven entropic spatially inhomogeneous evolutionary games	4
Domain formation via phase separation for spherical biomembranes with small deformations	3
Existence and two-scale convergence of the generalised Poisson–Nernst–Planck problem with non-linear interface conditions	3
Bloch wave homogenisation of quasiperiodic media	3
Impacts of noise on quenching of some models arising in MEMS technology	3
-coupling mechanisms are sufficient to obtain exponential decay in strain gradient elasticity	3
Homogenised model for the electrical current distribution within a submerged arc furnace for silicon production	3
Graph interpolating activation improves both natural and robust accuracies in data-efficient deep learning	3
Asymptotics of the principal eigenvalue of the Laplacian in 2D periodic domains with small traps	3
Extended symmetry analysis of remarkable (1+2)-dimensional Fokker–Planck equation	3
Wave propagation in a diffusive SAIV epidemic model with time delays	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
On travelling wave solutions of a model of a liquid film flowing down a fibre	3
Geometric series expansion of the Neumann–Poincaré operator: Application to composite materials	3
Generalised solution to a 2D parabolic-parabolic chemotaxis system for urban crime: Global existence and large-time behaviour	3
Instability of axisymmetric flow in thermocapillary liquid bridges: Kinetic and thermal energy budgets for two-phase flow with temperature-dependent material properties	3
Approximate solutions to one-phase Stefan-like problems with space-dependent latent heat	2
Postponing production exponentially enhances the molecular memory of a stochastic switch	2
Fluctuation response patterns of network dynamics – An introduction	2
On the birth and death of algebraic limit cycles in quadratic differential systems	2
Coarse graining of a Fokker–Planck equation with excluded volume effects preserving the gradient flow structure	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
Variational model with nonstandard growth conditions for restoration of satellite optical images using synthetic aperture radar	2
A homogenised model for the motion of evaporating fronts in porous media	2
Homogenisation applied to thermal radiation in porous media	2
Dynamics and steady state of squirmer motion in liquid crystal	2
Hitting times for second-order random walks	2
The fragmentation equation with size diffusion: Well posedness and long-term behaviour	2

Pull out all the stops: Textual analysis via punctuation sequences	2
Constrained exact boundary controllability of a semilinear model for pipeline gas flow	2
Resilience of dynamical systems	2
Cahn–Hilliard equations on an evolving surface	2
Leveraging memory effects and gradient information in consensus-based optimisation: On global convergence in mean-field law	2
Existence and stability of bistable wavefronts in a nonlocal delayed reaction–diffusion epidemic system	1
Global solution to a three-dimensional spherical piston problem for the relativistic Euler equations	1
Dispersive fractalisation in linear and nonlinear Fermi–Pasta–Ulam–Tsingou lattices	1
On a class of nonlocal continuity equations on graphs	1
A proposed screening algorithm for bone remodelling	1
Increasing stability for the inverse source problem in elastic waves with attenuation	1
Expansions for the linear-elastic contribution to the self-interaction force of dislocation curves	1
Gradient-based parameter calibration of an anisotropic interaction model for pedestrian dynamics	1
Dimension reduction analysis of a three-dimensional thin elastic plate reinforced with fractal ribbons	1
Hopf bifurcation from spike solutions for the weak coupling Gierer–Meinhardt system	1
Two approximate symmetry frameworks for nonlinear partial differential equations with a small parameter: Comparisons, relations, approximate solutions	1
Projective invariants of images	1
Steady state diffusion in tubular structures: Assessment of one-dimensional models	1
Existence and uniqueness of solutions to a flow and transport problem with degenerating coefficients	1
Dynamic aspects of tumour–immune system interaction under a periodic immunotherapy	1
Solving two-dimensional H(curl)-elliptic interface systems with optimal convergence on unfitted meshes	1
Identifiability of stochastically modelled reaction networks	1
Modelling viscoelastic wave phenomenon by homogenisation of the poroelasticity equations	1
A Laplace transform approach to direct and inverse problems for multi-compartment models	1
Leidenfrost levitation of a spherical particle above a liquid bath: Evolution of the vapour-film morphology with particle size	1
A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells	1
Mean-field models for segregation dynamics	1
On a repulsion Keller–Segel system with a logarithmic sensitivity	1
Localised signalling compartments in 2D coupled by a bulk diffusion field: Quorum sensing and synchronous oscillations in the well-mixed limit	1