Philosophical Transactions of the Royal Society A-Mathematical Physica

Article	Citations
Time-series forecasting with deep learning: a survey	450
Physics-informed machine learning: case studies for weather and climate modelling	176
Can deep learning beat numerical weather prediction?	154
Industrial applications of digital twins	110
A chronology of global air quality	88
Plastics as a materials system in a circular economy	82
Cold atoms meet lattice gauge theory	77
Double-cone ignition scheme for inertial confinement fusion	74
What’s down there? The structures, materials and environment of deep-seated slow slip and tremor	71
Challenges and outlook for convection-permitting climate modelling	70
Effects of ozone on agriculture, forests and grasslands	66
Deep learning for post-processing ensemble weather forecasts	66
Advanced materials modelling via fractional calculus: challenges and perspectives	65
Combining data assimilation and machine learning to infer unresolved scale parametrization	65
Learning earth system models from observations: machine learning or data assimilation?	65
Reducing global air pollution: the scope for further policy interventions	65
An assessment of phase field fracture: crack initiation and growth	61
Sensitivity of organized convective storms to model grid spacing in current and future climates	57
Resolution and uncertainties in estimates of earthquake stress drop and energy release	57
Towards advancing scientific knowledge of climate change impacts on short-duration rainfall extremes	57
Review of advances in microwave and millimetre-wave NDT&E: principles and applications	55
Opportunities and challenges for machine learning in weather and climate modelling: hard, medium and soft AI	55
Intensification of short-duration rainfall extremes and implications for flood risk: current state of the art and future directions	48
A review on the theory of stable dendritic growth	47
Incorporating climate change in flood estimation guidance	46

Atmospheric methane removal: a research agenda	46
Creation and application of virtual patient cohorts of heart models	46
How necessary and feasible are reductions of methane emissions from livestock to support stringent temperature goals?	46
Uncertainty quantification in classical molecular dynamics	46
Quantum simulation of lattice gauge theories in more than one space dimension—requirements, challenges and methods	46
Biocatalysis and biomass conversion: enabling a circular economy	43
Environmental impacts of nitrogen emissions in China and the role of policies in emission reduction	41
Considering discrepancy when calibrating a mechanistic electrophysiology model	41
Understanding the structural diversity of chitins as a versatile biomaterial	41
Biocatalytic recycling of polyethylene terephthalate plastic	40
Learning automata based energy-efficient AI hardware design for IoT applications	39
Airborne particulate matter	39
Impact of collision models on the physical properties and the stability of lattice Boltzmann methods	38
Accounting for variability in ion current recordings using a mathematical model of artefacts in voltage-clamp experiments	37
Efficient supersonic flow simulations using lattice Boltzmann methods based on numerical equilibria	36
Super-resolution microscopy: a brief history and new avenues	36
Toughening materials: enhancing resistance to fracture	36
Thermo-poromechanics of fractal media	35
The next generation of analogue gravity experiments	34
Methane removal and the proportional reductions in surface temperature and ozone	34
Modern perspectives on near-equilibrium analysis of Turing systems	34
The impact of air pollution on terrestrial managed and natural vegetation	33
Global drought trends and future projections	33
Toxicity of airborne particles—established evidence, knowledge gaps and emerging areas of importance	32
Scaling and responses of extreme hourly precipitation in three climate experiments with a convection-permitting model	32
Uncertainty quantification and sensitivity analysis of left ventricular function during the full cardiac cycle	32
Mathematical modelling with experimental validation of viscoelastic properties in non-Newtonian fluids	31
Machine learning at the interface of structural health monitoring and non-destructive evaluation	31
Artificial intelligence explainability: the technical and ethical dimensions	31
Predicting left ventricular contractile function via Gaussian process emulation in aortic-banded rats	30
Data-driven prediction in dynamical systems: recent developments	30
Alkaline air: changing perspectives on nitrogen and air pollution in an ammonia-rich world	29
Nitrate supply and uptake in the Atlantic Arctic sea ice zone: seasonal cycle, mechanisms and drivers	28
Prospective sensitivities of atom interferometers to gravitational waves and ultralight dark matter	28
Wireless power transfer-based eddy current non-destructive testing using a flexible printed coil array	28
Atmospheric chemistry on Uranus and Neptune	27
Core Imaging Library - Part I: a versatile Python framework for tomographic imaging	27
Evaluation of extreme sub-daily precipitation in high-resolution global climate model simulations	27
The interiors of Uranus and Neptune: current understanding and open questions	27
Machine learning for weather and climate are worlds apart	26
Discovering the sky at the longest wavelengths with a lunar orbit array	26
The cosmological constant problem and running vacuum in the expanding universe	26
The underexplored frontier of ice giant dynamos	26
Structure prediction of crystals, surfaces and nanoparticles	26
Potential and limitation of air pollution mitigation by vegetation and uncertainties of deposition-based evaluations	25
Topography and geology of Uranian mid-sized icy satellites in comparison with Saturnian and Plutonian satellites	25
Data science approaches to confronting the COVID-19 pandemic: a narrative review	25
Quantum annealing: an overview	25
Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity	25
Is complex fault zone behaviour a reflection of rheological heterogeneity?	25

Nucleation and growth dynamics of ellipsoidal crystals in metastable liquids	24
What do we know about the global methane budget? Results from four decades of atmospheric CH4observations and the way forward	24
Analysis of complex, beam-sensitive materials by transmission electron microscopy and associated techniques	24
Adaptive stochastic resonance in bistable system driven by noisy NLFM signal: phenomenon and application	24
A unified lattice Boltzmann model and application to multiphase flows	24
Digital twins as run-time predictive models for the resilience of cyber-physical systems: a conceptual framework	24
Towards implementing artificial intelligence post-processing in weather and climate: proposed actions from the Oxford 2019 workshop	24
Compressibility in lattice Boltzmann on standard stencils: effects of deviation from reference temperature	24
Vibrational resonances in driven oscillators with position-dependent mass	24
A novel approach to nonlinear variable-order fractional viscoelasticity	24
Ostwald ripening in the presence of simultaneous occurrence of various mass transfer mechanisms: an extension of the Lifshitz–Slyozov theory	24
Studies of Turing pattern formation in zebrafish skin	23
Impacts of autapse on chaotic resonance in single neurons and small-world neuronal networks	23
An audit of uncertainty in multi-scale cardiac electrophysiology models	23
Personalization of electro-mechanical models of the pressure-overloaded left ventricle: fitting of Windkessel-type afterload models	23
Turing pattern design principles and their robustness	22
Core Imaging Library - Part II: multichannel reconstruction for dynamic and spectral tomography	22
Polariton fluids for analogue gravity physics	22
A completely automated pipeline for 3D reconstruction of human heart from 2D cine magnetic resonance slices	22
An increasing role for solvent emissions and implications for future measurements of volatile organic compounds	22
Agricultural methane emissions and the potential formitigation	22
Optimal control of epidemic spreading in the presence of social heterogeneity	22
The shape of dendritic tips: a test of theory with computations and experiments	22
Fracture mechanics of rate-and-state faults and fluid injection induced slip	22
Gaussian process manifold interpolation for probabilistic atrial activation maps and uncertain conduction velocity	22
Transformative science from the lunar farside: observations of the dark ages and exoplanetary systems at low radio frequencies	22
Methods for quantifying methane emissions using unmanned aerial vehicles: a review	21
Climate-driven benthic invertebrate activity and biogeochemical functioning across the Barents Sea polar front	21
The added value of satellite observations of methane forunderstanding the contemporary methane budget	21
The fundamental principles of reproducibility	21
Predicting atmospheric optical properties for radiative transfer computations using neural networks	21
Super-resolution structured illumination microscopy: past, present and future	20
Status and prospects for drought forecasting: opportunities in artificial intelligence and hybrid physical–statistical forecasting	20
Sustainability in wood materials science: an opinion about current material development techniques and the end of lifetime perspectives	20
Bio-optical evidence for increasing Phaeocystis dominance in the Barents Sea	20
Review: Can temperature be used to inform changes to flood extremes with global warming?	20
Biological physics by high-speed atomic force microscopy	20
On the philosophical, cognitive and mathematical foundations of symbiotic autonomous systems	20
Construction of logic gates exploiting resonance phenomena in nonlinear systems	20
Neptune and Uranus: ice or rock giants?	20
Direct-drive laser fusion: status, plans and future	20
Heart rate variability and the dawn of complex physiological signal analysis: methodological and clinical perspectives	20
On the changes in surface ozone over the twenty-first century: sensitivity to changes in surface temperature and chemical mechanisms	19
Stochastic and vibrational resonance in complex networks of neurons	19
Robustness of convolutional neural networks to physiological electrocardiogram noise	19
Direct drive with the argon fluoride laser as a path to high fusion gain with sub-megajoule laser energy	19
GFINNs: GENERIC formalism informed neural networks for deterministic and stochastic dynamical systems	19
From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories	19
Recent attempts to change the periodic table	19
Calibrating COVID-19 susceptible-exposed-infected-removed models with time-varying effective contact rates	19
Optimal ECG-lead selection increases generalizability of deep learning on ECG abnormality classification	19
German Aerospace Center's advanced robotic technology for future lunar scientific missions	19
Greater than the parts: a review of the information decomposition approach to causal emergence	19
Assessing the turbulent kinetic energy budget in an energetic tidal flow from measurements of coupled ADCPs	19
Auroral emissions from Uranus and Neptune	18
Sparse observations induce large biases in estimates of the global ocean CO 2 sink: an ocean model subsampling experiment	18
Functional brain–heart interplay extends to the multifractal domain	18
Lower air pollution during COVID-19 lock-down: improving models and methods estimating ozone impacts on crops	18
The direct synthesis of hydrogen peroxide from H 2 and O 2 using Pd–Ni/TiO 2 catalysts	18
The personal digital twin, ethical considerations	18
Vibrational and stochastic resonances in driven nonlinear systems	18
Quantum information approach to high energy interactions	18
Understanding brain states across spacetime informed by whole-brain modelling	18
Beyond Turing: far-from-equilibrium patterns and mechano-chemical feedback	18
Emergence as the conversion of information: a unifying theory	18
Life cycle assessment (LCA): informing the development of a sustainable circular bioeconomy?	18
Stochastic model predictive control framework for resilient cyber-physical systems: review and perspectives	17
The spider cuticle: a remarkable material toolbox for functional diversity	17
A unified first-order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones	17
Climbing down Charney’s ladder: machine learning and the post-Dennard era of computational climate science	17
Hierarchical deep learning of multiscale differential equation time-steppers	17
Does Arctic warming reduce preservation of organic matter in Barents Sea sediments?	17
Bagging, optimized dynamic mode decomposition for robust, stable forecasting with spatial and temporal uncertainty quantification	17
Understanding components of mobility during the COVID-19 pandemic	17
VECMAtk: a scalable verification, validation and uncertainty quantification toolkit for scientific simulations	17
Polyethylene-like materials from plant oils	17
The exoplanet perspective on future ice giant exploration	17
Understanding sources of fine particulate matter in China	17
Benthic-pelagic coupling in the Barents Sea: an integrated data-model framework	17
The importance of uncertainty quantification in model reproducibility	17

Sustainable catalytic rearrangement of terpene-derived epoxides: towards bio-based biscarbonyl monomers	17
Magnetoacoustic wave energy dissipation in the atmosphere of solar pores	16
Arctic coastal benthos long-term responses to perturbations under climate warming	16
Annual cycle of downward particle fluxes on each side of the Gakkel Ridge in the central Arctic Ocean	16
A research agenda for the study of social norm change	16
On the limits of experimental knowledge	16
Which GAN? A comparative study of generative adversarial network-based fast MRI reconstruction	16
Data-driven nonlinear model reduction to spectral submanifolds in mechanical systems	16
A Markov chain-based model for structural vulnerability assessmentof corrosion-damaged reinforced concrete bridges	16
Chemical upcycling of polymers	15
An overall view of temperature oscillations in the solar chromosphere with ALMA	15
Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models	15
Wave propagation in the marginal ice zone: connections and feedback mechanisms within the air–ice–ocean system	15
How will air quality effects on human health, crops and ecosystems change in the future?	15
Simulations of molecular photodynamics in long timescales	15
Paradigms of frustration in superionic solid electrolytes	15
Atmospheric methane and nitrous oxide: challenges alongthe path to Net Zero	15
Vertical structure in chlorophyll profiles: influence on primary production in the Arctic Ocean	15
Magnetic field generation from composition gradients in inertial confinement fusion fuel	15
Pattern formation from spatially heterogeneous reaction–diffusion systems	15
Optical analogues of black-hole horizons	15
The role of ice lines in the formation of Uranus and Neptune	15
Experimental analysis of the shear flow effect on tidal turbine blade root force from three-dimensional mean flow reconstruction	15
From the origin of life to pandemics: emergent phenomena in complex systems	15
Symbols and grounding in large language models	14
Pattern formation in drying blood drops	14
Hawking radiation in optics and beyond	14
Marginal ice zone dynamics: history, definitions and research perspectives	14
Fractional-order modelling of epoxy resin	14
On the thermodynamical restrictions in isothermal deformations of fractional Burgers model	14
The influence of non-stationarity and interphase curvature on the growth dynamics of spherical crystals in a metastable liquid	14
Small-molecule autocatalytic networks are universal metabolic fossils	14
Towards quantum simulations in particle physics and beyond on noisy intermediate-scale quantum devices	14
Fractional-order nonlinear hereditariness of tendons and ligaments of the human knee	14
Shells of the bivalve Astarte moerchi give new evidence of a strong pelagic-benthic coupling shift occurring since the late 1970s in the North Water polynya	14
Sources and space–time distribution of the electromagnetic pulses in experiments on inertial confinement fusion and laser–plasma acceleration	14
Using high-resolution climate change information in water management: a decision-makers' perspective	14
Estimating design hydrologic extremes in a warming climate: alternatives, uncertainties and the way forward	14
The case for a Casimir cosmology	14
Numerical modelling of hydrodynamics and tidal energy extraction in the Alderney Race: a review	14
A novel artificial intelligence based intensive care unit monitoring system: using physiological waveforms to identify sepsis	13
Physic perspective fusion of electromagnetic acoustic transducer and pulsed eddy current testing in non-destructive testing system	13
Floes, the marginal ice zone and coupled wave-sea-ice feedbacks	13
Variation in zoobenthic blue carbon in the Arctic's Barents Sea shelf sediments	13
Methane and the Paris Agreement temperature goals	13
Modelling wave–ice interactions in three dimensions in the marginal ice zone	13
The fickle heart: uncertainty quantification in cardiac and cardiovascular modelling and simulation	13
The broad edge of synchronization: Griffiths effects and collective phenomena in brain networks	13
Concentrated lunar resources: imminent implications for governance and justice	13
Wind waves in sea ice of the western Arctic and a global coupled wave-ice model	13
Convective storms and atmospheric vertical structure in Uranus and Neptune	13
A statistical model of COVID-19 testing in populations: effects of sampling bias and testing errors	13
Variable-order particle dynamics: formulation and application to the simulation of edge dislocations	13
Semi-uniform stability of operator semigroups and energy decay of damped waves	13
Vibrational resonance in a driven two-level quantum system, linear and nonlinear response	13
The lunar surface as a recorder of astrophysical processes	13
Potential for combining semantics and data analysis in the context of digital twins	13
Modelling attenuation of irregular wave fields by artificial ice floes in the laboratory	13
GPU-accelerated real-time reconstruction in Python of three-dimensional datasets from structured illumination microscopy with hexagonal patterns	13
Ice giant system exploration in the 2020s: an introduction	13
Relativity and the periodic table	12
An econometric model for intraday electricity trading	12
Physics-based reconstruction methods for magnetic resonance imaging	12
Identifying economically viable tidal sites within the Alderney Race through optimization of levelized cost of energy	12
Atom-by-atom analysis of sintering dynamics and stability of Pt nanoparticle catalysts in chemical reactions	12
On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection–diffusion equations	12
Heterogeneity in the onwards transmission risk between local and imported cases affects practical estimates of the time-dependent reproduction number	12
Terahertz smart dynamic and active functional electromagnetic metasurfaces and their applications	12
The case for free and open source software in research and scholarship	12
Response of extreme precipitation to uniform surface warming in quasi-global aquaplanet simulations at high resolution	12
Snap buckling of bistable beams under combined mechanical and magnetic loading	12
Accurately constraining velocity information from spectral imaging observations using machine learning techniques	12
Eddy heat exchange at the boundary under white noise turbulence	12
Palmitic acid sophorolipid biosurfactant: from self-assembled fibrillar network (SAFiN) to hydrogels with fast recovery	12
Stochastic resonance in deformable potential with time-delayed feedback	12
Application of fractional calculus methods to viscoelastic behaviours of solid propellants	12
Ice giant magnetospheres	12
On some applications of vibrational resonance on noisy image perception: the role of the perturbation parameters	12
Engineering human-focused Industrial Cyber-Physical Systems in Industry 4.0 context	12
Climate change and diminishing seasonality in Arctic benthic processes	12
Fractional-order heat conduction models from generalized Boltzmann transport equation	12
Understanding fast-ion conduction in solid electrolytes	12
Quantification of model and data uncertainty in a network analysis of cardiac myocyte mechanosignalling	12
Micro-cracks and micro-fractures reveal radular tooth architecture and its functional significance in the paludomid gastropodLavigeria grandis	12
Relations between earthquake distributions, geological history, tectonics and rheology on the continents	12
Stokes settling and particle-laden plumes: implications for deep-sea mining and volcanic eruption plumes	11
Impact force and moment problems on random mass density fields with fractal and Hurst effects	11
Modelling of hemodynamics in bifurcation lesions of coronary arteries before and after myocardial revascularization	11
Instanton theory for Fermi’s golden rule and beyond	11
Physics-inspired analysis of the two-class income distribution in the USA in 1983–2018	11
Is the destruction or removal of atmospheric methane a worthwhile option?	11
Spectropolarimetric fluctuations in a sunspot chromosphere	11
Generation of intense dissipation in high Reynolds number turbulence	11
Extreme events in transitional turbulence	11
A framework for probabilistic weather forecast post-processing across models and lead times using machine learning	11