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 2020-11-01 to 2024-11-01.)

Article	Citations
General rogue waves in the three-wave resonant interaction systems	33
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions	21
Steady states and pattern formation of the density-suppressed motility model	19
Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities	18
On a subdiffusive tumour growth model with fractional time derivative	16
Localized patterns and semi-strong interaction, a unifying framework for reaction–diffusion systems	12
Localized states in coupled Cahn–Hilliard equations	12
Localized states in passive and active phase-field-crystal models	10
Behaviour of solutions to the 1D focusing stochastic L2-critical and supercritical nonlinear Schrödinger equation with space-time white noise	9
The Riemann problem for a traffic flow model on a road with variable widths	8
A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area	7
Can physics-informed neural networks beat the finite element method?	7
Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index	6
Stationary peaks in a multivariable reaction–diffusion system: foliated snaking due to subcritical Turing instability	6
Longitudinal thermocapillary slip about a dilute periodic mattress of protruding bubbles	5
Snaking without subcriticality: grain boundaries as non-topological defects	5
Editorial to Homoclinic snaking at 21: in memory of Patrick Woods	5
A new approach to the complex Helmholtz equation with applications to diffusion wave fields, impedance spectroscopy and unsteady Stokes flow	4
Snaking bifurcations of localized patterns on ring lattices	4
Stochastic modelling of marijuana use in Washington: pre- and post-Initiative-502 (I-502)	4
Explicit superposed and forced plane wave generalized Beltrami flows	4
Localized patterns in a generalized Swift–Hohenberg equation with a quartic marginal stability curve	4
On the use of asymptotically motivated gauge functions to obtain convergent series solutions to nonlinear ODEs	4
Computing spectral properties of topological insulators without artificial truncation or supercell approximation	4
Stationary and oscillatory localized patterns in ratio-dependent predator–prey systems	3

The Hermitian symmetric space Fokas–Lenells equation: spectral analysis and long-time asymptotics	3
A degenerating convection–diffusion system modelling froth flotation with drainage	3
The maximum likelihood ensemble filter for computational flame and fluid dynamics	3
Stability analysis of a standby system with an unreliable server and switching failure	3
An initial-boundary value problem for the general three-component nonlinear Schrödinger equations on a finite interval	3
Compressible Euler equations on a sphere and elliptic–hyperbolic property	3
Oscillatory and regularized shock waves for a dissipative Peregrine–Boussinesq system	3
Laplace–Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory	3
Curvature effects and radial homoclinic snaking	3
A parallel sampling algorithm for some nonlinear inverse problems	3
Reaction–subdiffusion systems and memory: spectra, Turing instability and decay estimates	3
Extensions of the d’Alembert formulae to the half line and the finite interval obtained via the unified transform	3
Line contact lubricated by a fluid described by non-Newtonian Giesekus model	3
On the shape of air–liquid interfaces with surface tension that bound rigidly rotating liquids in partially filled containers	2
Analysis of point-contact models of the bounce of a hard spinning ball on a compliant frictional surface	2
Steady slip flow of Newtonian fluids through tangential polygonal microchannels	2
Dynamical aspects of a restricted three-vortex problem	2
Global threshold dynamics of a spatial chemotactic mosquito-borne disease model	2
Grazing bifurcations and transitions between periodic states of the PP04 model for the glacial cycle	2
Identifying a response parameter in a model of brain tumour evolution under therapy	2
Inverse problems for a model of biofilm growth	2
Blow up and global solvability for an absorptive porous medium equation with memory at the boundary	2
Delayed Hopf Bifurcation and Space–Time Buffer Curves in the Complex Ginzburg–Landau Equation	2
A stacked frequency approach for inhomogeneous time-dependent MRE: an inverse problem for the elastic shear modulus	2
Adversarial ink: componentwise backward error attacks on deep learning	2
The maximum likelihood ensemble smoother for the Kuramoto–Sivashinsky equation	2
Localization and snaking in axially compressed and internally pressurized thin cylindrical shells	2
Integrability of local and non-local non-commutative fourth-order quintic non-linear Schrödinger equations	2
Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation	2
Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background	2
Stability results on radial porous media and Hele-Shaw flows with variable viscosity between two moving interfaces	2
The factorization method for a mixed inverse elastic scattering problem	2
A reduced Landau-de Gennes study for nematic equilibria in three-dimensional prisms	2
The factorization method for inverse scattering by a two-layered cavity with conductive boundary condition	2
Torsional rigidity for tangential polygons	2
On a hierarchy of effective models for the biomechanics of human compact bone tissue	2
Optimizing the spring constants of forced, damped and circular spring-mass systems—characterization of the discrete and periodic bi-Laplacian operator	1
Dielectric breakdown sizes of conducting plates	1
A validated asymptotic thermomechanical model for air-gap formation in tapered moulds in the continuous casting of steel	1
The shape of an axisymmetric meniscus in a static liquid pool: effective implementation of the Euler transformation	1
Numerical methods and hypoexponential approximations for gamma distributed delay differential equations	1
The feasibility and inevitability of stealth attacks	1
Spatial localization beyond steady states in the neighbourhood of the Takens–Bogdanov bifurcation	1
Mappings, dimensionality and reversing out of deep neural networks	1
Existence of localized radial patterns in a model for dryland vegetation	1
Random attractors for a stochastic nonlocal delayed reaction–diffusion equation on a semi-infinite interval	1
Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems	1
On global in time self-similar solutions of Smoluchowski equation with multiplicative kernel	1
Correction to: On the use of asymptotically motivated gauge functions to obtain convergent series solutions to nonlinear ODEs	1
Stability of fixed points in an approximate solution of the spring-mass running model	1

Tangential tensor fields on deformable surfaces—how to derive consistent L2-gradient flows	1
Numerical continuation of spiral waves in heteroclinic networks of cyclic dominance	1
On desingularization of steady vortex for the lake equations	1
Quasisteady models for weld temperatures in fused filament fabrication	1
Scattering in a partially open waveguide: the forward problem	1
Modelling alternating current effects in a submerged arc furnace	1
Traveling edge states in massive Dirac equations along slowly varying edges	1
The factorization method for the scattering by a mixed inhomogeneous medium	1
Accelerated Dirichlet–Robin alternating algorithms for solving the Cauchy problem for the Helmholtz equation	1
A dual self-monitored reconstruction scheme on theTV-regularized inverse conductivity problem	1
Radiation of sound waves from a coaxial duct with perforated screen	1
Non-equilibrium growth of a binary alloy	1
Estimating conformal capacity using asymptotic matching	1
Asymptotic solutions of the SIR and SEIR models well above the epidemic threshold	1
Integrable reduction and solitons of the Fokas–Lenells equation	1
Temporal instability of curved viscous fibers with a radial electric field	1