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 2021-05-01 to 2025-05-01.)

Article	Citations
Analyzing inexact hypergradients for bilevel learning	46
Steady slip flow of Newtonian fluids through tangential polygonal microchannels	27
Stochastic modelling of marijuana use in Washington: pre- and post-Initiative-502 (I-502)	22
Blow up and global solvability for an absorptive porous medium equation with memory at the boundary	21
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions	21
Application of the topological sensitivity method to the detection of breast cancer	20
Dielectric breakdown sizes of conducting plates	18
Reaction dynamics and early-time behaviour of chemical decontamination	10
A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area	10
Modelling the evolution of an ice sheet’s weathering crust	9
On global in time self-similar solutions of Smoluchowski equation with multiplicative kernel	8
The Role of Higher-Order Viscous and Interfacial Effects on the Onset of Surfactant-Covered Faraday Waves	7
Snaking without subcriticality: grain boundaries as non-topological defects	6
Localized states in coupled Cahn–Hilliard equations	6
Localization and snaking in axially compressed and internally pressurized thin cylindrical shells	6
Localized patterns in a generalized Swift–Hohenberg equation with a quartic marginal stability curve	5
Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics	5
The maximum likelihood ensemble smoother for the Kuramoto–Sivashinsky equation	5
The comparison between effects of heterogeneous and homogeneous half-spaces underlying homogeneous layer on solitary Love waves	5
A parallel sampling algorithm for some nonlinear inverse problems	5
A model ODE for the exponential asymptotics of nonlinear parasitic capillary ripples	4
Asymptotic solutions of the SIR and SEIR models well above the epidemic threshold	4
Correction to: Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics	4
Acceleration of gossip algorithms through the Euler–Poisson–Darboux Equation	4
Exact and numerical solutions of a free boundary problem with a reciprocal growth law	4

Scattering in a partially open waveguide: the forward problem	4
Line contact lubricated by a fluid described by non-Newtonian Giesekus model	4
Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities	4
A new approach to the complex Helmholtz equation with applications to diffusion wave fields, impedance spectroscopy and unsteady Stokes flow	4
Piecewise linear constitutive relations for stretch-limited elastic strings	4
Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation	3
Stability of fixed points in an approximate solution of the spring-mass running model	3
Solving forward and inverse problems involving a nonlinear three-dimensional partial differential equation via asymptotic expansions	3
Global existence and boundedness in a two-species chemotaxis-fluid system with indirect pursuit–evasion interaction	3
Hybrid accelerated double step length approach for convex constrained nonlinear monotone equations with applications	3
Laplace–Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory	3
Inverse problems for a model of biofilm growth	3
On the instability, nonexistence and spatial behaviour of the one-dimensional response of a new class of elastic bodies	3
Grazing bifurcations and transitions between periodic states of the PP04 model for the glacial cycle	3
Can physics-informed neural networks beat the finite element method?	3
A bubble model for the gating of Kv channels	3
Nonlinear ill-posed problem in low-dose dental cone-beam computed tomography	3
A parallel recursive framework for modelling time series	3
Spatial localization beyond steady states in the neighbourhood of the Takens–Bogdanov bifurcation	2
A unified and constructive framework for the universality of neural networks	2
The shape of an axisymmetric meniscus in a static liquid pool: effective implementation of the Euler transformation	2
The feasibility and inevitability of stealth attacks	2
Polarity-driven laminar pattern formation by lateral-inhibition in 2D and 3D bilayer geometries	2
Optimizing the spring constants of forced, damped and circular spring-mass systems—characterization of the discrete and periodic bi-Laplacian operator	2
Mathematical analysis of a time-delayed model for cocoa yield	2
Tangential tensor fields on deformable surfaces—how to derive consistent L2-gradient flows	2
Integrable reduction and solitons of the Fokas–Lenells equation	2
Stability of smooth solitary waves under intensity-dependent dispersion	2
On desingularization of steady vortex for the lake equations	2
Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems	2
Interfacial growth morphologies in dense eutectic crystal mushes	2
The maximum likelihood ensemble filter for computational flame and fluid dynamics	2
Explicit superposed and forced plane wave generalized Beltrami flows	2
Numerical methods and hypoexponential approximations for gamma distributed delay differential equations	2
Correction to: Initial-boundary value problem for a fractional heat equation on an interval	2
Localized states in passive and active phase-field-crystal models	2
Learning a microlocal prior for limited-angle tomography	2
Steady states and pattern formation of the density-suppressed motility model	2
On a subdiffusive tumour growth model with fractional time derivative	2
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
General rogue wave solutions to the Sasa–Satsuma equation	1
Numerical methods for computing the discrete and continuous Laplace transforms	1
Numerical continuation of spiral waves in heteroclinic networks of cyclic dominance	1
Dynamical aspects of a restricted three-vortex problem	1
A degenerating convection–diffusion system modelling froth flotation with drainage	1
Nonlinear dynamic responses of an inclined beam to harmonic excitation in temperature field	1
Integrability of local and non-local non-commutative fourth-order quintic non-linear Schrödinger equations	1
Stochastic generalized Kolmogorov systems with small diffusion: II. Explicit approximations for periodic solutions in distribution	1
Control strategies for mitigating torsional and axial vibrations in rotary oilwell drilling systems	1
Dynamics of an age-structured HIV model with general nonlinear infection rate	1

Localized patterns and semi-strong interaction, a unifying framework for reaction–diffusion systems	1
An explicit Maclaurin series solution to non-autonomous and non-homogeneous evolution equation, Omega Calculus and associated applications	1
The slow viscous flow around a general rectangular doubly-periodic arrays of infinite slender cylinders	1
Corrigendum to: Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background	1
Non-equilibrium growth of a binary alloy	1
Long-time solutions of scalar hyperbolic reaction equations incorporating relaxation and the Arrhenius combustion nonlinearity	1
Singular fourth-order Sturm–Liouville operators and acoustic black holes	1
On the shape of air–liquid interfaces with surface tension that bound rigidly rotating liquids in partially filled containers	1
A novel approach to modelling non-local surface waves: refinements in boundary and interface conditions	1
A reduced Landau-de Gennes study for nematic equilibria in three-dimensional prisms	1
Data approximation by neural nets for the MRE inverse problem in the frequency and time domains	1
Existence of localized radial patterns in a model for dryland vegetation	1
Stability analysis of a standby system with an unreliable server and switching failure	1
Editorial to Homoclinic snaking at 21: in memory of Patrick Woods	1
Asymptotically exact formulas for channel flows over liquid-infused surfaces	1
On an inverse photoacoustic tomography problem of small absorbers with inhomogeneous sound speed	1
Traveling edge states in massive Dirac equations along slowly varying edges	1
Stability analysis of viscous multi-layer shear flows with interfacial slip	1
Correction to: Modelling the evolution of an ice sheet’s weathering crust	1
A dual self-monitored reconstruction scheme on theTV-regularized inverse conductivity problem	1
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