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 2021-04-01 to 2025-04-01.)

Article	Citations
Mathematical analysis of a time-delayed model for cocoa yield	38
On an inverse photoacoustic tomography problem of small absorbers with inhomogeneous sound speed	26
Stability of fixed points in an approximate solution of the spring-mass running model	22
Delayed Hopf Bifurcation and Space–Time Buffer Curves in the Complex Ginzburg–Landau Equation	21
Steady slip flow of Newtonian fluids through tangential polygonal microchannels	19
Steady states and pattern formation of the density-suppressed motility model	19
Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index	18
Laplace–Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory	10
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions	9
Line contact lubricated by a fluid described by non-Newtonian Giesekus model	9
Global existence and steady states of the density-suppressed motility model with strong Allee effect	8
The feasibility and inevitability of stealth attacks	7
A model ODE for the exponential asymptotics of nonlinear parasitic capillary ripples	6
Homogenization results for the generator of multiscale Langevin dynamics in weighted Sobolev spaces	6
A dual self-monitored reconstruction scheme on theTV-regularized inverse conductivity problem	5
The maximum likelihood ensemble filter for computational flame and fluid dynamics	5
Oscillatory and regularized shock waves for a dissipative Peregrine–Boussinesq system	5
Numerical continuation of spiral waves in heteroclinic networks of cyclic dominance	5
Analyzing inexact hypergradients for bilevel learning	4
Acceleration of gossip algorithms through the Euler–Poisson–Darboux Equation	4
Stability of smooth solitary waves under intensity–dependent dispersion	4
Control strategies for mitigating torsional and axial vibrations in rotary oilwell drilling systems	4
Spatial localization beyond steady states in the neighbourhood of the Takens–Bogdanov bifurcation	4
Estimating conformal capacity using asymptotic matching	4
Stochastic modelling of marijuana use in Washington: pre- and post-Initiative-502 (I-502)	4

A novel approach to modelling nonlocal surface waves: refinements in boundary and interface conditions	4
On desingularization of steady vortex for the lake equations	4
Numerical methods and hypoexponential approximations for gamma distributed delay differential equations	4
Extensions of the d’Alembert formulae to the half line and the finite interval obtained via the unified transform	4
On a subdiffusive tumour growth model with fractional time derivative	4
Data approximation by neural nets for the MRE inverse problem in the frequency and time domains	3
Correction to: On the use of asymptotically motivated gauge functions to obtain convergent series solutions to nonlinear ODEs	3
On the shape of air–liquid interfaces with surface tension that bound rigidly rotating liquids in partially filled containers	3
Trust your source: quantifying source condition elements for variational regularisation methods	3
Accelerated Dirichlet–Robin alternating algorithms for solving the Cauchy problem for the Helmholtz equation	3
Blow up and global solvability for an absorptive porous medium equation with memory at the boundary	3
On the p-irreducibility of quintic positive polynomials	3
Non-equilibrium growth of a binary alloy	3
Critical domain sizes of a discrete-map hybrid and reaction-diffusion model on hostile exterior domains	3
Application of the topological sensitivity method to the detection of breast cancer	3
Correction to: Modelling the evolution of an ice sheet’s weathering crust	3
Can physics-informed neural networks beat the finite element method?	3
Dielectric breakdown sizes of conducting plates	2
Nonlinear dynamic responses of an inclined beam to harmonic excitation in temperature field	2
Reaction dynamics and early-time behaviour of chemical decontamination	2
Modelling the evolution of an ice sheet’s weathering crust	2
Polarity-driven laminar pattern formation by lateral-inhibition in 2D and 3D bilayer geometries	2
On long-time asymptotic behavior and Painlevé asymptotic to the matrix Hirota equation	2
Localized states in passive and active phase-field-crystal models	2
Uniqueness of refractive indices and transmission coefficients by an inhomogeneous medium in acoustic scattering	2
Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation	2
Singular fourth-order Sturm–Liouville operators and acoustic black holes	2
Computing spectral properties of topological insulators without artificial truncation or supercell approximation	2
Correction to: Initial-boundary value problem for a fractional heat equation on an interval	2
Inverse problems for a model of biofilm growth	2
A bubble model for the gating of Kv channels	2
Analysis of point-contact models of the bounce of a hard spinning ball on a compliant frictional surface	2
Stability analysis of viscous multi-layer shear flows with interfacial slip	2
A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area	2
An iteration method to study nonlinear wave propagation for a non-Green elastic 1D bar	1
Learning a microlocal prior for limited-angle tomography	1
The maximum likelihood ensemble smoother for the Kuramoto–Sivashinsky equation	1
General rogue wave solutions to the Sasa–Satsuma equation	1
Torsional rigidity for tangential polygons	1
Optimizing the spring constants of forced, damped and circular spring-mass systems—characterization of the discrete and periodic bi-Laplacian operator	1
Long-time solutions of scalar hyperbolic reaction equations incorporating relaxation and the Arrhenius combustion nonlinearity	1
Solving forward and inverse problems involving a nonlinear three-dimensional partial differential equation via asymptotic expansions	1
Interpretable model learning in variational imaging: a bilevel optimization approach	1
Localization and snaking in axially compressed and internally pressurized thin cylindrical shells	1
Traveling edge states in massive Dirac equations along slowly varying edges	1
Slugging in horizontal channel flow	1
The factorization method for the scattering by a mixed inhomogeneous medium	1
On the instability, nonexistence and spatial behaviour of the one-dimensional response of a new class of elastic bodies	1
Localized states in coupled Cahn–Hilliard equations	1
Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems	1

The impact of confinement on the deformation of an elastic particle under axisymmetric tube flow	1
Stationary peaks in a multivariable reaction–diffusion system: foliated snaking due to subcritical Turing instability	1
On global in time self-similar solutions of Smoluchowski equation with multiplicative kernel	1
Integrability of local and non-local non-commutative fourth-order quintic non-linear Schrödinger equations	1
Asymptotically exact formulas for channel flows over liquid-infused surfaces	1
Initial-boundary value problem for a fractional heat equation on an interval	1
A parallel recursive framework for modelling time series	1
A Generalized mathematical representation of the shape of the Wheatley heart valve and the associated static stress fields upon opening and closing	1
Longitudinal thermocapillary slip about a dilute periodic mattress of protruding bubbles	1
Localized patterns in a generalized Swift–Hohenberg equation with a quartic marginal stability curve	1
Convexity of shock polars	1
A degenerating convection–diffusion system modelling froth flotation with drainage	1
Interfacial growth morphologies in dense eutectic crystal mushes	1
Identifying a response parameter in a model of brain tumour evolution under therapy	1
Correction to: A degenerating convection–diffusion system modelling froth flotation with drainage	1
Nonlinear ill-posed problem in low-dose dental cone-beam computed tomography	1
Editorial to Homoclinic snaking at 21: in memory of Patrick Woods	1
Temporal instability of curved viscous fibers with a radial electric field	1
On a hierarchy of effective models for the biomechanics of human compact bone tissue	1