IMA Journal of Applied Mathematics

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.)
ArticleCitations
Stochastic modelling of marijuana use in Washington: pre- and post-Initiative-502 (I-502)51
Analyzing inexact hypergradients for bilevel learning27
Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation Methods for PDEs with Time Delay22
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions21
Blow up and global solvability for an absorptive porous medium equation with memory at the boundary20
Reaction dynamics and early-time behaviour of chemical decontamination18
Modelling the evolution of an ice sheet’s weathering crust11
Application of the topological sensitivity method to the detection of breast cancer10
Localized states in coupled Cahn–Hilliard equations9
The role of higher-order viscous and interfacial effects on the onset of surfactant-covered faraday waves8
The maximum likelihood ensemble smoother for the Kuramoto–Sivashinsky equation6
On global in time self-similar solutions of Smoluchowski equation with multiplicative kernel6
Localization and snaking in axially compressed and internally pressurized thin cylindrical shells6
Snaking without subcriticality: grain boundaries as non-topological defects6
A parallel sampling algorithm for some nonlinear inverse problems5
Correction to: Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics5
Localized patterns in a generalized Swift–Hohenberg equation with a quartic marginal stability curve5
Scattering in a partially open waveguide: the forward problem5
The comparison between effects of heterogeneous and homogeneous half-spaces underlying homogeneous layer on solitary Love waves5
Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics5
Exact and numerical solutions of a free boundary problem with a reciprocal growth law4
Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities4
Laplace–Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory4
Asymptotic solutions of the SIR and SEIR models well above the epidemic threshold4
Line contact lubricated by a fluid described by non-Newtonian Giesekus model4
Stability of fixed points in an approximate solution of the spring-mass running model4
A new approach to the complex Helmholtz equation with applications to diffusion wave fields, impedance spectroscopy and unsteady Stokes flow4
Piecewise linear constitutive relations for stretch-limited elastic strings4
A model ODE for the exponential asymptotics of nonlinear parasitic capillary ripples4
Acceleration of gossip algorithms through the Euler–Poisson–Darboux Equation4
Hybrid accelerated double step length approach for convex constrained nonlinear monotone equations with applications3
Explicit superposed and forced plane wave generalized Beltrami flows3
Tangential tensor fields on deformable surfaces—how to derive consistent L2-gradient flows3
Stability of smooth solitary waves under intensity-dependent dispersion3
Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation3
A parallel recursive framework for modelling time series3
Grazing bifurcations and transitions between periodic states of the PP04 model for the glacial cycle3
A unified and constructive framework for the universality of neural networks3
Spatial localization beyond steady states in the neighbourhood of the Takens–Bogdanov bifurcation3
Global existence and boundedness in a two-species chemotaxis-fluid system with indirect pursuit–evasion interaction3
Can physics-informed neural networks beat the finite element method?3
Inverse problems for a model of biofilm growth3
Nonlinear ill-posed problem in low-dose dental cone-beam computed tomography3
Integrable reduction and solitons of the Fokas–Lenells equation3
The shape of an axisymmetric meniscus in a static liquid pool: effective implementation of the Euler transformation3
The maximum likelihood ensemble filter for computational flame and fluid dynamics3
A bubble model for the gating of Kv channels3
Solving forward and inverse problems involving a nonlinear three-dimensional partial differential equation via asymptotic expansions3
Mathematical analysis of a time-delayed model for cocoa yield2
On a subdiffusive tumour growth model with fractional time derivative2
Correction to: Initial-boundary value problem for a fractional heat equation on an interval2
Optimizing the spring constants of forced, damped and circular spring-mass systems—characterization of the discrete and periodic bi-Laplacian operator2
The slow viscous flow around a general rectangular doubly-periodic arrays of infinite slender cylinders2
Learning a microlocal prior for limited-angle tomography2
Numerical methods and hypoexponential approximations for gamma distributed delay differential equations2
The feasibility and inevitability of stealth attacks2
Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems2
Asymptotically exact formulas for channel flows over liquid-infused surfaces2
Editorial to Homoclinic snaking at 21: in memory of Patrick Woods2
Polarity-driven laminar pattern formation by lateral-inhibition in 2D and 3D bilayer geometries2
On desingularization of steady vortex for the lake equations2
Localized states in passive and active phase-field-crystal models2
Interfacial growth morphologies in dense eutectic crystal mushes2
General rogue wave solutions to the Sasa–Satsuma equation2
An explicit Maclaurin series solution to non-autonomous and non-homogeneous evolution equation, Omega Calculus and associated applications2
Stationary peaks in a multivariable reaction–diffusion system: foliated snaking due to subcritical Turing instability1
Localized patterns and semi-strong interaction, a unifying framework for reaction–diffusion systems1
Correction to: Modelling the evolution of an ice sheet’s weathering crust1
Stability analysis of a standby system with an unreliable server and switching failure1
Singular fourth-order Sturm–Liouville operators and acoustic black holes1
A reduced Landau-de Gennes study for nematic equilibria in three-dimensional prisms1
Stochastic generalized Kolmogorov systems with small diffusion. II: Explicit approximations for periodic solutions in distribution1
Numerical continuation of spiral waves in heteroclinic networks of cyclic dominance1
Snaking bifurcations of localized patterns on ring lattices1
Integrability of local and non-local non-commutative fourth-order quintic non-linear Schrödinger equations1
Non-equilibrium growth of a binary alloy1
Slugging in horizontal channel flow1
A novel approach to modelling non-local surface waves: refinements in boundary and interface conditions1
Stability analysis of viscous multi-layer shear flows with interfacial slip1
Existence of localized radial patterns in a model for dryland vegetation1
A degenerating convection–diffusion system modelling froth flotation with drainage1
Corrigendum to: Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background1
Dynamics of an age-structured HIV model with general nonlinear infection rate1
Data approximation by neural nets for the MRE inverse problem in the frequency and time domains1
Stationary and oscillatory localized patterns in ratio-dependent predator–prey systems1
Dynamical aspects of a restricted three-vortex problem1
Traveling edge states in massive Dirac equations along slowly varying edges1
On an inverse photoacoustic tomography problem of small absorbers with inhomogeneous sound speed1
Long-time solutions of scalar hyperbolic reaction equations incorporating relaxation and the Arrhenius combustion nonlinearity1
Optimal analyticity estimates for non-linear active–dissipative evolution equations1
Nonlinear dynamic responses of an inclined beam to harmonic excitation in temperature field1
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 Liberia1
Numerical methods for computing the discrete and continuous Laplace transforms1
Delayed Hopf Bifurcation and Space–Time Buffer Curves in the Complex Ginzburg–Landau Equation1
On the shape of air–liquid interfaces with surface tension that bound rigidly rotating liquids in partially filled containers1
An iteration method to study nonlinear wave propagation for a non-Green elastic 1D bar1
Control strategies for mitigating torsional and axial vibrations in rotary oilwell drilling systems1
0.41897106170654