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 2022-08-01 to 2026-08-01.)

Article	Citations
Stochastic modelling of marijuana use in Washington: pre- and post-Initiative-502 (I-502)	168
Dirichlet–Neumann and Neumann–Neumann waveform relaxation methods for PDEs with time delay	14
Analyzing inexact hypergradients for bilevel learning	14
A model for contact of a rod with an obstacle using the damped normal compliance condition	12
Reaction dynamics and early-time behaviour of chemical decontamination	10
Application of the topological sensitivity method to the detection of breast cancer	10
Modelling the evolution of an ice sheet’s weathering crust	8
The role of higher-order viscous and interfacial effects on the onset of surfactant-covered faraday waves	8
On global in time self-similar solutions of Smoluchowski equation with multiplicative kernel	8
Best free knot linear spline approximation and its application to neural networks	8
Asymptotic dynamics for an age-structured HIV model with two delays	8
Equidistribution-based training of univariate free knot splines and ReLU neural networks: revised	7
The maximum likelihood ensemble smoother for the Kuramoto–Sivashinsky equation	7
The comparison between effects of heterogeneous and homogeneous half-spaces underlying homogeneous layer on solitary Love waves	7
Scattering in a partially open waveguide: the forward problem	6
Exact and numerical solutions of a free boundary problem with a reciprocal growth law	5
Correction to: Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics	5
Piecewise linear constitutive relations for stretch-limited elastic strings	5
Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics	5
Eventual smoothness in a 3D Keller–Segel–Stokes system with subquadratic degradation	5
Can physics-informed neural networks beat the finite element method?	4
Line contact lubricated by a fluid described by non-Newtonian Giesekus model	4
A bubble model for the gating of Kv channels	4
Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation	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
Inverse problems for a model of biofilm growth	4
Stability of fixed points in an approximate solution of the spring-mass running model	4
Soliton solutions to the coupled Sasa–Satsuma equation under mixed boundary conditions	4
Low-frequency electromagnetic scattering by a penetrable spherical underground cavity with magnetic dipole stimulation	3
Nonlinear ill-posed problem in low-dose dental cone-beam computed tomography	3
Constrained Dikin–Langevin diffusion for polyhedra	3
Mathematical analysis of a time-delayed model for cocoa yield	3
Tangential tensor fields on deformable surfaces—how to derive consistent L2-gradient flows	3
A parallel recursive framework for modelling time series	3
Hybrid accelerated double step length approach for convex constrained nonlinear monotone equations with applications	3
A semi-discrete optimal transport scheme for the 3D incompressible semi-geostrophic equations	3
A unified and constructive framework for the universality of neural networks	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
Stability of smooth solitary waves under intensity-dependent dispersion	3
The shape of an axisymmetric meniscus in a static liquid pool: effective implementation of the Euler transformation	3
Analysis of a stochastic HBV epidemic model driven by Black–Karasinski process: complete characterization of dynamical behaviour and density function	2
Critical mass and competing effect in chemotaxis: insights from an attraction–repulsion model with rotational fluxes	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
Learning a microlocal prior for limited-angle tomography	2
An explicit Maclaurin series solution to non-autonomous and non-homogeneous evolution equation, Omega Calculus and associated applications	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	2
Numerical methods and hypoexponential approximations for gamma distributed delay differential equations	2
Polarity-driven laminar pattern formation by lateral-inhibition in 2D and 3D bilayer geometries	2
Well-posedness and long-term behaviour for a troposphere wave propagation model	2
The slow viscous flow around a general rectangular doubly-periodic arrays of infinite slender cylinders	2
Spectral gap properties of perturbed periodic media	2
General rogue wave solutions to the Sasa–Satsuma equation	2
The feasibility and inevitability of stealth attacks	2
Interfacial growth morphologies in dense eutectic crystal mushes	2
Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems	2
Numerical methods for computing the discrete and continuous Laplace transforms	2
On an inverse photoacoustic tomography problem of small absorbers with inhomogeneous sound speed	1
Correction to: Modelling the evolution of an ice sheet’s weathering crust	1
Analytic semigroup generated by the dispersal process of a sylvatic transmission model of Chagas disease	1
Nonlinear dynamic responses of an inclined beam to harmonic excitation in temperature field	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
Stochastic generalized Kolmogorov systems with small diffusion. II: Explicit approximations for periodic solutions in distribution	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
Singular fourth-order Sturm–Liouville operators and acoustic black holes	1
Optimal carbon emission control with allowances purchasing	1
Dynamic analysis of a three-degree-of-freedom collision vibration system with clearances	1
A novel approach to modelling non-local surface waves: refinements in boundary and interface conditions	1
Optimal analyticity estimates for non-linear active–dissipative evolution equations	1
A reduced Landau-de Gennes study for nematic equilibria in three-dimensional prisms	1
Control strategies for mitigating torsional and axial vibrations in rotary oilwell drilling systems	1

Slugging in horizontal channel flow	1
An iteration method to study nonlinear wave propagation for a non-Green elastic 1D bar	1
A degenerating convection–diffusion system modelling froth flotation with drainage	1