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 2020-03-01 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 multi-level procedure for enhancing accuracy of machine learning algorithms	14
A critical virus production rate for efficiency of oncolytic virotherapy	14
Continuous-domain assignment flows	12
Extended Stefan problem for the solidification of binary alloys in a sphere	12
On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime	10
Resilient tracking consensus over dynamic random graphs: A linear system approach	10
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
Well-posedness of the Muskat problem in subcritical L_p-Sobolev spaces	9
On small-time similarity-solution behaviour in the solidification shrinkage of binary alloys	8
Charge transport modelling of Lithium-ion batteries	8
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
Edge corrections for parallel-plate capacitors	7
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

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
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
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
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
On symmetric wedge mode of an elastic solid	4
Exact nonclassical symmetry solutions of Lotka–Volterra-type population systems	4