OOIR: Observatory of International Research

Papers

(The TQCC of IMA 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
General rogue waves in the three-wave resonant interaction systems	33
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions	21
Steady states and pattern formation of the density-suppressed motility model	19
Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities	18
On a subdiffusive tumour growth model with fractional time derivative	16
Localized patterns and semi-strong interaction, a unifying framework for reaction–diffusion systems	12
Localized states in coupled Cahn–Hilliard equations	12
Localized states in passive and active phase-field-crystal models	10
Behaviour of solutions to the 1D focusing stochastic L2-critical and supercritical nonlinear Schrödinger equation with space-time white noise	9
The Riemann problem for a traffic flow model on a road with variable widths	8
Can physics-informed neural networks beat the finite element method?	7
A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area	7
Stationary peaks in a multivariable reaction–diffusion system: foliated snaking due to subcritical Turing instability	6
Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index	6
Snaking without subcriticality: grain boundaries as non-topological defects	5
Editorial to Homoclinic snaking at 21: in memory of Patrick Woods	5
Longitudinal thermocapillary slip about a dilute periodic mattress of protruding bubbles	5
Explicit superposed and forced plane wave generalized Beltrami flows	4
Localized patterns in a generalized Swift–Hohenberg equation with a quartic marginal stability curve	4
On the use of asymptotically motivated gauge functions to obtain convergent series solutions to nonlinear ODEs	4
Computing spectral properties of topological insulators without artificial truncation or supercell approximation	4
A new approach to the complex Helmholtz equation with applications to diffusion wave fields, impedance spectroscopy and unsteady Stokes flow	4
Snaking bifurcations of localized patterns on ring lattices	4
Stochastic modelling of marijuana use in Washington: pre- and post-Initiative-502 (I-502)	4
An initial-boundary value problem for the general three-component nonlinear Schrödinger equations on a finite interval	3

Compressible Euler equations on a sphere and elliptic–hyperbolic property	3
Oscillatory and regularized shock waves for a dissipative Peregrine–Boussinesq system	3
Laplace–Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory	3
Curvature effects and radial homoclinic snaking	3
A parallel sampling algorithm for some nonlinear inverse problems	3
Reaction–subdiffusion systems and memory: spectra, Turing instability and decay estimates	3
Extensions of the d’Alembert formulae to the half line and the finite interval obtained via the unified transform	3
Line contact lubricated by a fluid described by non-Newtonian Giesekus model	3
Stationary and oscillatory localized patterns in ratio-dependent predator–prey systems	3
The Hermitian symmetric space Fokas–Lenells equation: spectral analysis and long-time asymptotics	3
A degenerating convection–diffusion system modelling froth flotation with drainage	3
The maximum likelihood ensemble filter for computational flame and fluid dynamics	3
Stability analysis of a standby system with an unreliable server and switching failure	3