OOIR: Observatory of International Research

Papers

(The TQCC of European Journal of Applied Mathematics is 4. 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 2020-05-01 to 2024-05-01.)

Article	Citations
Solving parametric PDE problems with artificial neural networks	102
Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion	56
Solving high-dimensional optimal stopping problems using deep learning	33
Deep learning models for global coordinate transformations that linearise PDEs	28
Learning and meta-learning of stochastic advection–diffusion–reaction systems from sparse measurements	23
Structure-preserving deep learning	18
A multi-level procedure for enhancing accuracy of machine learning algorithms	15
A critical virus production rate for efficiency of oncolytic virotherapy	13
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	11
On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime	11
The amyloid cascade hypothesis and Alzheimer’s disease: A mathematical model	11
Inverse scattering transforms for non-local reverse-space matrix non-linear Schrödinger equations	10
Well-posedness of the Muskat problem in subcritical L_p-Sobolev spaces	9
Charge transport modelling of Lithium-ion batteries	8
Strong well-posedness and inverse identification problem of a non-local phase field tumour model with degenerate mobilities	8
A continuum limit for the PageRank algorithm	8
A reaction–diffusion epidemic model with incubation period in almost periodic environments	7
Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model	7
Spikes and localised patterns for a novel Schnakenberg model in the semi-strong interaction regime	7
Global and exponential attractor of the repulsive Keller–Segel model with logarithmic sensitivity	6
Eigenoscillations in an angular domain and spectral properties of functional equations	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

Dynamics of an infection age-space structured cholera model with Neumann boundary condition	6
Linear evolution equations on the half-line with dynamic boundary conditions	5
Asymptotic and transient dynamics of SEIR epidemic models on weighted networks	5
Thin-layer solutions of the Helmholtz equation	5
Connections between deep learning and partial differential equations	5
Homogenised model for the electrical current distribution within a submerged arc furnace for silicon production	5
The stability analysis of a 2D Keller–Segel–Navier–Stokes system in fast signal diffusion	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
Direction-dependent turning leads to anisotropic diffusion and persistence	5
Fano resonance in metallic grating via strongly coupled subwavelength resonators	5
Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility	5
Extended symmetry analysis of remarkable (1+2)-dimensional Fokker–Planck equation	4
Asymptotic propagations of a nonlocal dispersal population model with shifting habitats	4
Leveraging memory effects and gradient information in consensus-based optimisation: On global convergence in mean-field law	4
Data-driven entropic spatially inhomogeneous evolutionary games	4
On a reaction–diffusion system modelling infectious diseases without lifetime immunity	4
Wave propagation in a diffusive SAIV epidemic model with time delays	4
Exact nonclassical symmetry solutions of Lotka–Volterra-type population systems	4