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 2021-06-01 to 2025-06-01.)

Article	Citations
Stochastic modelling of marijuana use in Washington: pre- and post-Initiative-502 (I-502)	51
Analyzing inexact hypergradients for bilevel learning	27
Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation Methods for PDEs with Time Delay	22
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions	21
Blow up and global solvability for an absorptive porous medium equation with memory at the boundary	20
Reaction dynamics and early-time behaviour of chemical decontamination	18
Modelling the evolution of an ice sheet’s weathering crust	11
Application of the topological sensitivity method to the detection of breast cancer	10
Localized states in coupled Cahn–Hilliard equations	9
The role of higher-order viscous and interfacial effects on the onset of surfactant-covered faraday waves	8
The maximum likelihood ensemble smoother for the Kuramoto–Sivashinsky equation	6
On global in time self-similar solutions of Smoluchowski equation with multiplicative kernel	6
Localization and snaking in axially compressed and internally pressurized thin cylindrical shells	6
Snaking without subcriticality: grain boundaries as non-topological defects	6
A parallel sampling algorithm for some nonlinear inverse problems	5
Correction to: Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics	5
Localized patterns in a generalized Swift–Hohenberg equation with a quartic marginal stability curve	5
Scattering in a partially open waveguide: the forward problem	5
The comparison between effects of heterogeneous and homogeneous half-spaces underlying homogeneous layer on solitary Love waves	5
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	4
Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities	4
Laplace–Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory	4
Asymptotic solutions of the SIR and SEIR models well above the epidemic threshold	4
Line contact lubricated by a fluid described by non-Newtonian Giesekus model	4

Stability of fixed points in an approximate solution of the spring-mass running model	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
A model ODE for the exponential asymptotics of nonlinear parasitic capillary ripples	4
Acceleration of gossip algorithms through the Euler–Poisson–Darboux Equation	4
Hybrid accelerated double step length approach for convex constrained nonlinear monotone equations with applications	3
Explicit superposed and forced plane wave generalized Beltrami flows	3
Tangential tensor fields on deformable surfaces—how to derive consistent L2-gradient flows	3
Stability of smooth solitary waves under intensity-dependent dispersion	3
Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation	3
A parallel recursive framework for modelling time series	3
Grazing bifurcations and transitions between periodic states of the PP04 model for the glacial cycle	3
A unified and constructive framework for the universality of neural networks	3
Spatial localization beyond steady states in the neighbourhood of the Takens–Bogdanov bifurcation	3
Global existence and boundedness in a two-species chemotaxis-fluid system with indirect pursuit–evasion interaction	3
Can physics-informed neural networks beat the finite element method?	3
Inverse problems for a model of biofilm growth	3
Nonlinear ill-posed problem in low-dose dental cone-beam computed tomography	3
Integrable reduction and solitons of the Fokas–Lenells equation	3
The shape of an axisymmetric meniscus in a static liquid pool: effective implementation of the Euler transformation	3
The maximum likelihood ensemble filter for computational flame and fluid dynamics	3
A bubble model for the gating of Kv channels	3
Solving forward and inverse problems involving a nonlinear three-dimensional partial differential equation via asymptotic expansions	3
Mathematical analysis of a time-delayed model for cocoa yield	2
On a subdiffusive tumour growth model with fractional time derivative	2
Correction to: Initial-boundary value problem for a fractional heat equation on an interval	2
Optimizing the spring constants of forced, damped and circular spring-mass systems—characterization of the discrete and periodic bi-Laplacian operator	2
The slow viscous flow around a general rectangular doubly-periodic arrays of infinite slender cylinders	2
Learning a microlocal prior for limited-angle tomography	2
Numerical methods and hypoexponential approximations for gamma distributed delay differential equations	2
The feasibility and inevitability of stealth attacks	2
Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems	2
Asymptotically exact formulas for channel flows over liquid-infused surfaces	2
Editorial to Homoclinic snaking at 21: in memory of Patrick Woods	2
Polarity-driven laminar pattern formation by lateral-inhibition in 2D and 3D bilayer geometries	2
On desingularization of steady vortex for the lake equations	2
Localized states in passive and active phase-field-crystal models	2
Interfacial growth morphologies in dense eutectic crystal mushes	2
General rogue wave solutions to the Sasa–Satsuma equation	2
An explicit Maclaurin series solution to non-autonomous and non-homogeneous evolution equation, Omega Calculus and associated applications	2
Stationary peaks in a multivariable reaction–diffusion system: foliated snaking due to subcritical Turing instability	1
Localized patterns and semi-strong interaction, a unifying framework for reaction–diffusion systems	1
Correction to: Modelling the evolution of an ice sheet’s weathering crust	1
Stability analysis of a standby system with an unreliable server and switching failure	1
Singular fourth-order Sturm–Liouville operators and acoustic black holes	1
A reduced Landau-de Gennes study for nematic equilibria in three-dimensional prisms	1
Stochastic generalized Kolmogorov systems with small diffusion. II: Explicit approximations for periodic solutions in distribution	1
Numerical continuation of spiral waves in heteroclinic networks of cyclic dominance	1
Snaking bifurcations of localized patterns on ring lattices	1
Integrability of local and non-local non-commutative fourth-order quintic non-linear Schrödinger equations	1

Non-equilibrium growth of a binary alloy	1
Slugging in horizontal channel flow	1
A novel approach to modelling non-local surface waves: refinements in boundary and interface conditions	1
Stability analysis of viscous multi-layer shear flows with interfacial slip	1
Existence of localized radial patterns in a model for dryland vegetation	1
A degenerating convection–diffusion system modelling froth flotation with drainage	1
Corrigendum to: Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background	1
Dynamics of an age-structured HIV model with general nonlinear infection rate	1
Data approximation by neural nets for the MRE inverse problem in the frequency and time domains	1
Stationary and oscillatory localized patterns in ratio-dependent predator–prey systems	1
Dynamical aspects of a restricted three-vortex problem	1
Traveling edge states in massive Dirac equations along slowly varying edges	1
On an inverse photoacoustic tomography problem of small absorbers with inhomogeneous sound speed	1
Long-time solutions of scalar hyperbolic reaction equations incorporating relaxation and the Arrhenius combustion nonlinearity	1
Optimal analyticity estimates for non-linear active–dissipative evolution equations	1
Nonlinear dynamic responses of an inclined beam to harmonic excitation in temperature field	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
Numerical methods for computing the discrete and continuous Laplace transforms	1
Delayed Hopf Bifurcation and Space–Time Buffer Curves in the Complex Ginzburg–Landau Equation	1
On the shape of air–liquid interfaces with surface tension that bound rigidly rotating liquids in partially filled containers	1
An iteration method to study nonlinear wave propagation for a non-Green elastic 1D bar	1
Control strategies for mitigating torsional and axial vibrations in rotary oilwell drilling systems	1