OOIR: Observatory of International Research

Papers

(The median citation count of IMA 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 2021-08-01 to 2025-08-01.)

Article	Citations
Stochastic modelling of marijuana use in Washington: pre- and post-Initiative-502 (I-502)	61
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions	27
Analyzing inexact hypergradients for bilevel learning	22
Dirichlet–Neumann and Neumann–Neumann waveform relaxation methods for PDEs with time delay	19
Modelling the evolution of an ice sheet’s weathering crust	12
Application of the topological sensitivity method to the detection of breast cancer	9
Reaction dynamics and early-time behaviour of chemical decontamination	7
The role of higher-order viscous and interfacial effects on the onset of surfactant-covered faraday waves	7
Blow up and global solvability for an absorptive porous medium equation with memory at the boundary	7
On global in time self-similar solutions of Smoluchowski equation with multiplicative kernel	7
The maximum likelihood ensemble smoother for the Kuramoto–Sivashinsky equation	6
A parallel sampling algorithm for some nonlinear inverse problems	6
Localized patterns in a generalized Swift–Hohenberg equation with a quartic marginal stability curve	6
Correction to: Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics	5
Exact and numerical solutions of a free boundary problem with a reciprocal growth law	5
Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics	5
Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities	5
The comparison between effects of heterogeneous and homogeneous half-spaces underlying homogeneous layer on solitary Love waves	5
A new approach to the complex Helmholtz equation with applications to diffusion wave fields, impedance spectroscopy and unsteady Stokes flow	5
Scattering in a partially open waveguide: the forward problem	5
Acceleration of gossip algorithms through the Euler–Poisson–Darboux Equation	4
Can physics-informed neural networks beat the finite element method?	4
Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation	4
Asymptotic solutions of the SIR and SEIR models well above the epidemic threshold	4
A model ODE for the exponential asymptotics of nonlinear parasitic capillary ripples	4

Stability of fixed points in an approximate solution of the spring-mass running model	4
Laplace–Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory	4
Piecewise linear constitutive relations for stretch-limited elastic strings	4
Line contact lubricated by a fluid described by non-Newtonian Giesekus model	4
A bubble model for the gating of Kv channels	4
Solving forward and inverse problems involving a nonlinear three-dimensional partial differential equation via asymptotic expansions	3
Grazing bifurcations and transitions between periodic states of the PP04 model for the glacial cycle	3
Tangential tensor fields on deformable surfaces—how to derive consistent L2-gradient flows	3
On desingularization of steady vortex for the lake equations	3
Stability of smooth solitary waves under intensity-dependent dispersion	3
Global existence and boundedness in a two-species chemotaxis-fluid system with indirect pursuit–evasion interaction	3
A parallel recursive framework for modelling time series	3
A unified and constructive framework for the universality of neural networks	3
The feasibility and inevitability of stealth attacks	3
Mathematical analysis of a time-delayed model for cocoa yield	3
Inverse problems for a model of biofilm growth	3
Nonlinear ill-posed problem in low-dose dental cone-beam computed tomography	3
Hybrid accelerated double step length approach for convex constrained nonlinear monotone equations with applications	3
The shape of an axisymmetric meniscus in a static liquid pool: effective implementation of the Euler transformation	3
Numerical methods and hypoexponential approximations for gamma distributed delay differential equations	3
Editorial to Homoclinic snaking at 21: in memory of Patrick Woods	2
Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems	2
General rogue wave solutions to the Sasa–Satsuma equation	2
Interfacial growth morphologies in dense eutectic crystal mushes	2
The slow viscous flow around a general rectangular doubly-periodic arrays of infinite slender cylinders	2
Numerical methods for computing the discrete and continuous Laplace transforms	2
Correction to: Initial-boundary value problem for a fractional heat equation on an interval	2
Asymptotically exact formulas for channel flows over liquid-infused surfaces	2
Polarity-driven laminar pattern formation by lateral-inhibition in 2D and 3D bilayer geometries	2
An explicit Maclaurin series solution to non-autonomous and non-homogeneous evolution equation, Omega Calculus and associated applications	2
Learning a microlocal prior for limited-angle tomography	2
Critical Mass and Competing Effect in Chemotaxis: Insights from an Attraction-Repulsion Model with Rotational Fluxes	2
Delayed Hopf Bifurcation and Space–Time Buffer Curves in the Complex Ginzburg–Landau Equation	1
Optimal analyticity estimates for non-linear active–dissipative evolution equations	1
A mathematical model on the impact of awareness and traditional medicine in the control of Ebola: case study of the 2014–2016 outbreaks in Sierra Leone and Liberia	1
Control strategies for mitigating torsional and axial vibrations in rotary oilwell drilling systems	1
Stochastic generalized Kolmogorov systems with small diffusion. II: Explicit approximations for periodic solutions in distribution	1
A degenerating convection–diffusion system modelling froth flotation with drainage	1
Correction to: Modelling the evolution of an ice sheet’s weathering crust	1
Singular fourth-order Sturm–Liouville operators and acoustic black holes	1
Localized patterns and semi-strong interaction, a unifying framework for reaction–diffusion systems	1
Dynamics of an age-structured HIV model with general nonlinear infection rate	1
A reduced Landau-de Gennes study for nematic equilibria in three-dimensional prisms	1
Existence of localized radial patterns in a model for dryland vegetation	1
Non-equilibrium growth of a binary alloy	1
On the shape of air–liquid interfaces with surface tension that bound rigidly rotating liquids in partially filled containers	1
Long-time solutions of scalar hyperbolic reaction equations incorporating relaxation and the Arrhenius combustion nonlinearity	1
A novel approach to modelling non-local surface waves: refinements in boundary and interface conditions	1
Dynamical aspects of a restricted three-vortex problem	1
Corrigendum to: Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background	1

Stability analysis of a standby system with an unreliable server and switching failure	1
On an inverse photoacoustic tomography problem of small absorbers with inhomogeneous sound speed	1
Integrability of local and non-local non-commutative fourth-order quintic non-linear Schrödinger equations	1
Data approximation by neural nets for the MRE inverse problem in the frequency and time domains	1
Nonlinear dynamic responses of an inclined beam to harmonic excitation in temperature field	1
Stability analysis of viscous multi-layer shear flows with interfacial slip	1