Philosophical Transactions of the Royal Society A-Mathematical Physica

Papers
(The median citation count of Philosophical Transactions of the Royal Society A-Mathematical Physica is 3. 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.)
ArticleCitations
Resonant capture of Saturn’s arcs190
Multi-scale satellite observations of Arctic sea ice: new insight into the life cycle of the floe size distribution111
Unequal impact and spatial aggregation distort COVID-19 growth rates89
Quantum computing for swarm robotics: a local-to-global approach87
Machine teaching in Swarm Metaverse under different levels of autonomy72
IMPACT: In-Memory ComPuting Architecture based on Y-FlAsh Technology for Coalesced Tsetlin machine inference69
Exploiting the lock: leveraging MiG-V's logic locking for secret-data extraction67
Neural in-memory checksums: an error detection and correction technique for safe in-memory inference66
Signalling and social learning in swarms of robots65
Nano-samples give higher brittle strength by the Griffith energy principle64
A variational approach to frame-indifferent quasistatic viscoelasticity of rate type60
The importance of both catalyst and process design in unlocking sustainable carbon feedstocks through syngas59
Safety: a proportionate approach in an uncertain application55
A completely automated pipeline for 3D reconstruction of human heart from 2D cine magnetic resonance slices53
Ostwald ripening in the presence of simultaneous occurrence of various mass transfer mechanisms: an extension of the Lifshitz–Slyozov theory52
Isotopic signatures of methane emissions from tropical fires, agriculture and wetlands: the MOYA and ZWAMPS flights50
Selective heterogeneous hydrodeoxygenation of acetophenone over monometallic and bimetallic Pt–Co catalyst50
Suppression of galloping oscillations by injecting a high-frequency excitation45
The Ellis–Baldwin test43
Galaxy clusters as probes of cosmic isotropy43
Hydrogen and wood-burning stoves42
100 years of mathematical cosmology: Models, theories, and problems, Part A39
The biology of imaging38
Einstein flow with matter sources: stability and convergence37
Socio-economic impacts of energy access through off-grid systems in rural communities: a case study of southwest Nigeria37
Optimal cooling of an internally heated disc36
Remarks on stationary and uniformly rotating vortex sheets: flexibility results36
Virtual walks inspired by a mean-field kinetic exchange model of opinion dynamics36
Towards an advanced neurotechnological system: colorimetric sensing with a novel grism-based spectrometer, functionalized gold nanoparticles and a heterogeneous embedded system35
New futures for cosmological models34
Relationship between the methods of bounding time averages34
Optimal criteria and their asymptotic form for data selection in data-driven reduced-order modelling with Gaussian process regression34
Emergence and algorithmic information dynamics of systems and observers33
Reformulating the susceptible–infectious–removed model in terms of the number of detected cases: well-posedness of the observational model33
Lateral force removal of fungal spores to demonstrate how surface properties affect fungal spore retention32
Frontal waves and transmissions for temporal laminates and imperfect chiral interfaces32
Ogden material calibration via magnetic resonance cartography, parameter sensitivity and variational system identification31
Tracking the national and regional COVID-19 epidemic status in the UK using weighted principal component analysis31
A generalized Ogden model for the compressibility of rubber-like solids30
Marginal ice zone dynamics: future research perspectives and pathways30
Linear, weakly nonlinear and fully nonlinear models for soft tissues: which ones provide the most reliable estimations of the stiffness?30
Extremal states and coupling properties in electroelasticity30
FAIR data pipeline: provenance-driven data management for traceable scientific workflows29
An Ogden-like formulation incorporating phase-field fracture in elastomers: from brittle to pseudo-ductile failures29
A model study of convergent dynamics in the marginal ice zone29
Statistical and agent-based modelling of the transmissibility of different SARS-CoV-2 variants in England and impact of different interventions28
Negative refraction and mode trapping of flexural–torsional waves in elastic lattices28
On a frictional unilateral contact problem in nonlinear elasticity—existence and smoothing procedure28
An inverse coefficient problem of identifying the flexural rigidity in damped Euler–Bernoulli beam from measured boundary rotation28
Wave generation and transmission in multi-scale complex media and structured metamaterials27
Understanding the transgression of global and regional freshwater planetary boundaries27
Observation of anomalous spectral downshifting of waves in the Okhotsk Sea Marginal Ice Zone27
A peridynamic approach to simulating fatigue crack propagation in composite materials26
Strategic analysis of the drought resilience of water supply systems26
Counterdiabatic driving for periodically driven open quantum systems26
Drought risk in the Anthropocene25
Dynamical invariant formalism of shortcuts to adiabaticity25
Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions25
Probing the stability landscape of cylindrical shells for buckling knockdown factors24
Characterization and modelling of the hygro-viscoelastic behaviour of polymer-based composites used in marine environment24
Non-reciprocity induces resonances in a two-field Cahn–Hilliard model24
Experimentally probing the stability of thin-shell structures under pure bending24
Taylor–Couette flow of hard-sphere suspensions: overview of current understanding24
Characterizing and predicting the relationship between translaminar fracture toughness and pull-out length distributions under distinct temperatures24
Exploring the origin of turbulent Taylor rolls23
Mean structure of the supercritical turbulent spiral in Taylor–Couette flow23
Thermoelectric instabilities in a circular Couette flow23
Logics and admissible rules of constructive set theories23
Stably stratified Taylor–Couette flows23
Application of Boltzmann kinetic equations to model X-ray-created warm dense matter and plasma22
Viscoelastic instabilities of Taylor–Couette flows with different rotation regimes22
Proof theory and non-smooth analysis22
New insights into air-sea fluxes and their role in Subantarctic Mode Water formation22
Tracing the impacts of recent rapid sea ice changes and the A68 megaberg on the surface freshwater balance of the Weddell and Scotia Seas22
The uniform Kruskal theorem: between finite combinatorics and strong set existence22
Sailing through the southern seas of air–sea CO 2 flux uncertainty22
A stochastic model of edge-localized modes in magnetically confined plasmas22
Causal viewpoint and ensemble interpretation: from physics to the social sciences22
A no-individuals account of quantum mechanics21
Falling weight deflectometer dispersion curve method for pavement modulus calculation21
Machine learning-based identification of segment joint failure in underground tunnels21
Entropic stochastic resonance induced by a transverse driving force21
Understanding computational dialogue understanding21
Development of a new quantum trajectory molecular dynamics framework21
Effect of water on the glass transition of a potassium-magnesium carbonate melt20
Laser-free super-resolution microscopy20
Non-pharmaceutical interventions for COVID-19: a systematic review on environmental control measures20
Abstraction, equality and univalence20
Quantification of fragmentation capture materials and an assessment of the viability of economical alternatives: a preliminary study19
A time variant uncertainty propagation method for high-dimensional dynamic structural system via K–L expansion and Bayesian deep neural network19
Machine learning-based rail corrugation recognition: a metro vehicle response and noise perspective19
Pavement crack detection based on point cloud data and data fusion19
Methanol diffusion and dynamics in zeolite H-ZSM-5 probed by quasi-elastic neutron scattering and classical molecular dynamics simulations18
Fault logic and data-driven model for operation reliability analysis of the flap deflection angle18
Synthesis of tin(IV) nitride with spinel structure, γ -Sn 3 N 4 , from the elements and its Raman-s18
Topics in the mathematical design of materials18
Quantitative analysis of compatible microstructure by electron backscatter diffraction18
Exploring the length scales, timescales and chemistry of challenging materials (Part 2)18
The dangers of single-lap shear testing in understanding polymer composite welded joints18
Clustering of fluoride and phosphate ions in bioactive glass from computer simulation18
Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces17
A decrease in the age of respired carbon from the terrestrial biosphere and increase in the asymmetry of its distribution17
Conformal geodesics and the evolution of spacetimes with positive Cosmological constant17
The shape of dendritic tips: a test of theory with computations and experiments17
Interpretable fusion methodology of health indices with an application to industrial turbine cavitation condition monitoring17
A certain counterpart in dissipative setting of the Noether theorem with no dissipation pseudo-potentials17
A critical review of life cycle assessment studies of woody biomass conversion to sugars16
The impact of spatially varying wetland source signatures on the atmospheric variability ofδD-CH416
Lattice Boltzmann method investigation of a reactive electro-kinetic flow in porous media: towards a phenomenological model16
Towards symbiotic autonomous systems16
Geodiversity in the Amazon drainage basin16
Asymptotic symmetries of projectively compact order one Einstein manifolds16
The profile of the Higgs boson: status and prospects16
The dilemma of valuing geodiversity: geoconservation versus geotourism16
A complexity science approach to law and governance15
Modes of the Dark Ages 21 cm field accessible to a lunar radio interferometer15
Astronomy from the Moon: the next decades (part 2)15
Potential and perils: paths to protecting lunar sites of extraordinary scientific importance (SESIs) for astronomy before it is too late15
Systematic study of precursor effects on structure and oxygen reduction reaction activity of FeNC catalysts15
Quantum contextuality, causality and freedom of choice15
Modelling science return from the lunar crater radio telescope on the far side of the moon15
Towards human-centred standards for legal help AI15
Non-flooded riparian Amazon trees are a regionally significant methane source14
Coal seam gas industry methane emissions in the Surat Basin, Australia: comparing airborne measurements with inventories14
Introduction to ‘Recent progress and open frontiers in Turing’s theory of morphogenesis’14
Heart rate variability and the dawn of complex physiological signal analysis: methodological and clinical perspectives14
X-ray astronomy from the lunar surface14
Mathematical modelling of fracture waves in a blocky medium with thin compliant interlayers14
Radiative loss and ion-neutral collisional effects in astrophysical plasmas14
Quantum fermions from classical bits14
An open-source alignment method for multichannel infinite-conjugate microscopes using a ray transfer matrix analysis model14
Group-theoretic analysis of symmetry-preserving deployable structures and metamaterials14
An efficient multiscale method for subwavelength transient analysis of acoustic metamaterials14
Experimental neutrino physics in a nuclear landscape14
δ 13 C methane source signatures from tropical wetland and rice field emissions14
On the ambipolar diffusion formulation for ion-neutral drifts in the non-negligible drift velocity limit14
Studies of Turing pattern formation in zebrafish skin14
Two photons everywhere13
On the role of geometric phase in the dynamics of elastic waveguides13
STEP–organizing a major project to tackle significant uncertainty13
Rapid eutectic growth: from rod growth to diffusionless solidification13
Reprogramming multi-stable snapping and energy dissipation in origami metamaterials through panel confinement13
Editorial: Scaling the Turbulence Edifice (part 2)13
Improving mass lumping and stiffness parameters of bar and hinge model for accurate modal dynamics of origami structures13
Predicting concurrent structural mechanical mechanisms during microstructure evolution13
CO 2 hydrogenation to methanol over Pt functionalized Hf-UiO-67 versus Zr-UiO-6713
Investigating and exploiting the impact of variability in resonator parameters on the vibration attenuation in locally resonant metamaterials13
Programmable adhesion through triangular and hierarchical cuts in metamaterial adhesives13
Remarks on anomalous dissipation for passive scalars 13
From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories13
Lagrangian approach to origami vertex analysis: kinematics13
Are maximum magnitudes of induced earthquakes controlled by pressure diffusion?13
Behavioural response to heterogeneous severity of COVID-19 explains temporal variation of cases among different age groups13
Emerging scale invariance in a model of turbulence of vortices and waves13
Supply security beyond mines and scrap recycling: valorization potential of metallurgical residues13
Co-designing transport models as a heuristic planning tool13
Hypothesizing an algorithm from one example: the role of specificity12
Properties of tsunami-generated electromagnetic variation observed on islands12
Maturing the design: challenges in maturing a first of a kind fusion power plant12
The quantum theory of light12
The quantum optics of media12
Theory and application of cavity solitons in photonic devices12
Preface to ‘Green carbon for the chemical industry of the future’12
Correction to: ‘Gravitational waves from a first-order electroweak phase transition: a brief review’ (2018) by Weir12
Canyon Diablo lonsdaleite is a nanocomposite containing c/h stacking disordered diamond and diaphite12
Complex systems perspective in assessing risks in artificial intelligence12
Stokes drift and its discontents12
Gauge and unitary transformations in multipolar quantum optics12
Tunable wave coupling in periodically rotated Miura-ori tubes12
Overall constitutive properties of stratified lattices with alternating chirality12
Empirical legal analysis simplified: reducing complexity through automatic identification and evaluation of legally relevant factors12
Oceanic and ionospheric tidal magnetic fields extracted from global geomagnetic observatory data12
Double transition in kinetic exchange opinion models with activation dynamics12
Structured illumination ophthalmoscope: super-resolution microscopy on the living human eye12
Extracting stochastic governing laws by non-local Kramers–Moyal formulae11
Super-resolution microscopy: a brief history and new avenues11
Instanton theory for Fermi’s golden rule and beyond11
Contrasting internally and externally generated Atlantic Multidecadal Variability and the role for AMOC in CMIP6 historical simulations11
Stochastic and vibrational resonance in complex networks of neurons11
Quantification of total uncertainty in the physics-informed reconstruction of CVSim-6 physiology11
Enhanced diffuse optical tomographic reconstruction using concurrent ultrasound information11
The role of the Southern Ocean in the global climate response to carbon emissions11
Kinetic exchange income distribution models with saving propensities: inequality indices and self-organized poverty level11
Quantum information approach to high energy interactions11
Parameter inference for stochastic reaction models of ion channel gating from whole-cell voltage-clamp data11
Current developments in elastic and acoustic metamaterials science11
Hierarchical deep learning of multiscale differential equation time-steppers11
A comparison of Gaussian processes and polynomial chaos emulators in the context of haemodynamic pulse–wave propagation modelling11
Non-classicality and the effect of one photon11
Challenges in modelling dynamic processes in realistic nanostructured materials at operating conditions11
Turing pattern design principles and their robustness11
Core Imaging Library - Part I: a versatile Python framework for tomographic imaging11
A thermodynamic basis for teleological causality11
Narrowband photoluminescence of Tin-Vacancy colour centres in Sn-doped chemical vapour deposition diamond microcrystals11
Bayesian causal inference: a critical review11
Simulations of frustrated Ising Hamiltonians using quantum approximate optimization11
Arctic freshwater impact on the Atlantic Meridional Overturning Circulation: status and prospects10
Drifting plasmons in two-dimensional electron channels: circuit analogy10
On some applications of vibrational resonance on noisy image perception: the role of the perturbation parameters10
Reformulating scalar–tensor field theories as scalar–scalar field theories using a novel geometry10
Addressing the urban congestion challenge based on traffic bottlenecks10
Quantum optical phase, rigged Hilbert spaces and complementarity10
The Spherical Tokamak for Energy Production: theme issue introduction10
Geoconservation at the International Union for Conservation of Nature (IUCN)10
Socially intelligent machines that learn from humans and help humans learn10
Distributed renewable energy systems for resilient and sustainable development of remote and vulnerable communities10
Accretion–ablation mechanics10
Full-hand electrotactile feedback using electronic skin and matrix electrodes for high-bandwidth human–machine interfacing10
Co-creating the future: participatory cities and digital governance10
Geometric mechanics of kiri-origami-based bifurcated mechanical metamaterials10
Extreme events in transitional turbulence10
Intensity correlations in the Wigner representation10
GPT-4 passes the bar exam10
Labrador sea water spreading and the Atlantic meridional overturning circulation10
Linear and brute force stability of orthogonal moment multiple-relaxation-time lattice Boltzmann methods applied to homogeneous isotropic turbulence10
Industrial applications of digital twins10
Atmospheric sounding using Earth-based occultations10
Geometrical origins of the universe dark sector: string-inspired torsion and anomalies as seeds for inflation and dark matter10
Instabilities and routes to turbulence in rotating disc boundary layers and cavities10
The Spherical Tokamak for Energy Production (STEP) in context: UK public sector approach to fusion energy10
No one-size-fits-all: Multi-actor perspectives on public participation and digital participatory platforms10
A novel learning function for adaptive surrogate-model-based reliability evaluation10
Buckling versus unilateral constraint for a multistable metamaterial element10
Growth and stabilization of induced seismicity rates during long-term, low-pressure fluid injection9
Mixed-quantum-classical or fully-quantized dynamics? A unified code to compare methods9
Self-similar hierarchy of coherent tubular vortices in turbulence9
Loop-free tensor networks for high-energy physics9
The Galerkin-truncated Burgers equation: crossover from inviscid-thermalized to Kardar–Parisi–Zhang scaling9
Graphene nanoplatelets on recycled rubber: an experimental study of material properties and mechanical improvements9
Puff turbulence in the limit of strong buoyancy9
Modelling of hemodynamics in bifurcation lesions of coronary arteries before and after myocardial revascularization9
Design and experimental validation of a finite-size labyrinthine metamaterial for vibro-acoustics: enabling upscaling towards large-scale structures9
Developing the OpenFlexure Microscope towards medical use: technical and social challenges of developing globally accessible hardware for healthcare9
A lattice Boltzmann model for reactive mixtures9
The influence of thermal pressure gradients and ionization (im)balance on the ambipolar diffusion and charge-neutral drifts9
Kelvin–Helmholtz-induced mixing in multi-fluid partially ionized plasmas9
On end-point distribution for directed polymers and related problems for randomly forced Burgers equation9
Material efficiency at the component level: how much metal can we do without?9
Understanding the effect of adsorption sites of CO at cobalt surface on its reactivity with H 2 /H by DFT calculations9
Novel 4D-printed multi-stable metamaterials: programmability of force-displacement behaviour and deformation sequence9
Long-time behaviour of a porous medium model with degenerate hysteresis9
A novel multi-branch architecture for state of the art robust detection of pathological phonocardiograms9
Spectral invariants of ergodic symbolic systems for pattern recognition and anomaly detection9
Advanced computation in cardiovascular physiology: new challenges and opportunities9
Monitoring vegetation- and geodiversity with remote sensing and traits9
How periodic surfaces bend9
Thermodynamic description of metastable fcc/liquid phase equilibria and solidification kinetics in Al-Cu alloys9
Dimensional effects in Rayleigh–Taylor mixing9
Transition of fluctuations from Gaussian state to turbulent state9
Magnetoacoustic cutoff effect in numerical simulations of the partially ionized solar atmosphere9
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