OOIR: Observatory of International Research

Papers

(The TQCC of European Journal of Applied Mathematics is 3. 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
On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime	13
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
Well-posedness of the Muskat problem in subcritical L_p-Sobolev spaces	11
Strong well-posedness and inverse identification problem of a non-local phase field tumour model with degenerate mobilities	9
A reaction–diffusion system with cross-diffusion: Lie symmetry, exact solutions and their applications in the pandemic modelling	9
A continuum limit for the PageRank algorithm	8
Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility	7
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
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
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
Asymptotic and transient dynamics of SEIR epidemic models on weighted networks	5
Exact nonclassical symmetry solutions of Lotka–Volterra-type population systems	5
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
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
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
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