Philosophical Transactions of the Royal Society A-Mathematical Physica

Article	Citations
Time-series forecasting with deep learning: a survey	591
Physics-informed machine learning: case studies for weather and climate modelling	216
Can deep learning beat numerical weather prediction?	188
Industrial applications of digital twins	149
Cold atoms meet lattice gauge theory	92
Challenges and outlook for convection-permitting climate modelling	84
What’s down there? The structures, materials and environment of deep-seated slow slip and tremor	82
Double-cone ignition scheme for inertial confinement fusion	80
Deep learning for post-processing ensemble weather forecasts	79
Learning earth system models from observations: machine learning or data assimilation?	75
Combining data assimilation and machine learning to infer unresolved scale parametrization	72
An assessment of phase field fracture: crack initiation and growth	71
Resolution and uncertainties in estimates of earthquake stress drop and energy release	70
Towards advancing scientific knowledge of climate change impacts on short-duration rainfall extremes	69
Opportunities and challenges for machine learning in weather and climate modelling: hard, medium and soft AI	65
Sensitivity of organized convective storms to model grid spacing in current and future climates	63
Atmospheric methane removal: a research agenda	58
How necessary and feasible are reductions of methane emissions from livestock to support stringent temperature goals?	58
Intensification of short-duration rainfall extremes and implications for flood risk: current state of the art and future directions	58
Global drought trends and future projections	57
A review on the theory of stable dendritic growth	55
Incorporating climate change in flood estimation guidance	53
Quantum simulation of lattice gauge theories in more than one space dimension—requirements, challenges and methods	53
Uncertainty quantification in classical molecular dynamics	52
Super-resolution microscopy: a brief history and new avenues	49

Understanding the structural diversity of chitins as a versatile biomaterial	45
Toughening materials: enhancing resistance to fracture	43
Methane removal and the proportional reductions in surface temperature and ozone	42
Artificial intelligence explainability: the technical and ethical dimensions	39
Quantum annealing: an overview	38
The interiors of Uranus and Neptune: current understanding and open questions	37
Modern perspectives on near-equilibrium analysis of Turing systems	37
Scaling and responses of extreme hourly precipitation in three climate experiments with a convection-permitting model	36
The cosmological constant problem and running vacuum in the expanding universe	35
Data-driven prediction in dynamical systems: recent developments	34
Analysis of complex, beam-sensitive materials by transmission electron microscopy and associated techniques	33
Prospective sensitivities of atom interferometers to gravitational waves and ultralight dark matter	33
Studies of Turing pattern formation in zebrafish skin	33
Structure prediction of crystals, surfaces and nanoparticles	33
Core Imaging Library - Part I: a versatile Python framework for tomographic imaging	33
Methods for quantifying methane emissions using unmanned aerial vehicles: a review	32
Data science approaches to confronting the COVID-19 pandemic: a narrative review	31
Status and prospects for drought forecasting: opportunities in artificial intelligence and hybrid physical–statistical forecasting	31
Emergence as the conversion of information: a unifying theory	31
Atmospheric chemistry on Uranus and Neptune	30
Evaluation of extreme sub-daily precipitation in high-resolution global climate model simulations	30
Agricultural methane emissions and the potential formitigation	29
Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity	29
Impacts of autapse on chaotic resonance in single neurons and small-world neuronal networks	29
Machine learning for weather and climate are worlds apart	28
Discovering the sky at the longest wavelengths with a lunar orbit array	28
Topography and geology of Uranian mid-sized icy satellites in comparison with Saturnian and Plutonian satellites	27
The personal digital twin, ethical considerations	27
Core Imaging Library - Part II: multichannel reconstruction for dynamic and spectral tomography	27
A completely automated pipeline for 3D reconstruction of human heart from 2D cine magnetic resonance slices	27
Fracture mechanics of rate-and-state faults and fluid injection induced slip	27
Is complex fault zone behaviour a reflection of rheological heterogeneity?	27
Towards implementing artificial intelligence post-processing in weather and climate: proposed actions from the Oxford 2019 workshop	27
The underexplored frontier of ice giant dynamos	27
What do we know about the global methane budget? Results from four decades of atmospheric CH4observations and the way forward	27
Greater than the parts: a review of the information decomposition approach to causal emergence	26
Digital twins as run-time predictive models for the resilience of cyber-physical systems: a conceptual framework	26
Sparse observations induce large biases in estimates of the global ocean CO 2 sink: an ocean model subsampling experiment	26
A unified lattice Boltzmann model and application to multiphase flows	26
Adaptive stochastic resonance in bistable system driven by noisy NLFM signal: phenomenon and application	25
The added value of satellite observations of methane forunderstanding the contemporary methane budget	25
Nucleation and growth dynamics of ellipsoidal crystals in metastable liquids	25
Sustainability in wood materials science: an opinion about current material development techniques and the end of lifetime perspectives	25
Vibrational resonances in driven oscillators with position-dependent mass	25
Ostwald ripening in the presence of simultaneous occurrence of various mass transfer mechanisms: an extension of the Lifshitz–Slyozov theory	25
Direct drive with the argon fluoride laser as a path to high fusion gain with sub-megajoule laser energy	24
Turing pattern design principles and their robustness	24
Data-driven nonlinear model reduction to spectral submanifolds in mechanical systems	24
The shape of dendritic tips: a test of theory with computations and experiments	24
A research agenda for the study of social norm change	24

Transformative science from the lunar farside: observations of the dark ages and exoplanetary systems at low radio frequencies	24
From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories	24
Neptune and Uranus: ice or rock giants?	23
Heart rate variability and the dawn of complex physiological signal analysis: methodological and clinical perspectives	23
GFINNs: GENERIC formalism informed neural networks for deterministic and stochastic dynamical systems	23
Predicting atmospheric optical properties for radiative transfer computations using neural networks	23
Optimal control of epidemic spreading in the presence of social heterogeneity	23
Direct-drive laser fusion: status, plans and future	22
The fundamental principles of reproducibility	22
On the philosophical, cognitive and mathematical foundations of symbiotic autonomous systems	22
Symbols and grounding in large language models	22
Stochastic and vibrational resonance in complex networks of neurons	22
Super-resolution structured illumination microscopy: past, present and future	22
Wave propagation in the marginal ice zone: connections and feedback mechanisms within the air–ice–ocean system	21
Calibrating COVID-19 susceptible-exposed-infected-removed models with time-varying effective contact rates	21
Life cycle assessment (LCA): informing the development of a sustainable circular bioeconomy?	21
Construction of logic gates exploiting resonance phenomena in nonlinear systems	21
Understanding brain states across spacetime informed by whole-brain modelling	21
Review: Can temperature be used to inform changes to flood extremes with global warming?	21
Biological physics by high-speed atomic force microscopy	21
Climbing down Charney’s ladder: machine learning and the post-Dennard era of computational climate science	21
Robustness of convolutional neural networks to physiological electrocardiogram noise	21
Simulations of molecular photodynamics in long timescales	21
The spider cuticle: a remarkable material toolbox for functional diversity	21
Marginal ice zone dynamics: history, definitions and research perspectives	21
Auroral emissions from Uranus and Neptune	20
Optimal ECG-lead selection increases generalizability of deep learning on ECG abnormality classification	20
German Aerospace Center's advanced robotic technology for future lunar scientific missions	20
Beyond Turing: far-from-equilibrium patterns and mechano-chemical feedback	20
Functional brain–heart interplay extends to the multifractal domain	20
Bagging, optimized dynamic mode decomposition for robust, stable forecasting with spatial and temporal uncertainty quantification	20
Hierarchical deep learning of multiscale differential equation time-steppers	20
Vibrational and stochastic resonances in driven nonlinear systems	19
The importance of uncertainty quantification in model reproducibility	19
The exoplanet perspective on future ice giant exploration	19
From the origin of life to pandemics: emergent phenomena in complex systems	19
A novel learning function for adaptive surrogate-model-based reliability evaluation	19
Paradigms of frustration in superionic solid electrolytes	19
Understanding components of mobility during the COVID-19 pandemic	19
Quantum information approach to high energy interactions	19
Which GAN? A comparative study of generative adversarial network-based fast MRI reconstruction	18
A unified first-order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones	18
Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models	18
Physics-based reconstruction methods for magnetic resonance imaging	18
Atmospheric methane and nitrous oxide: challenges alongthe path to Net Zero	18
Stochastic model predictive control framework for resilient cyber-physical systems: review and perspectives	18
VECMAtk: a scalable verification, validation and uncertainty quantification toolkit for scientific simulations	18
Floes, the marginal ice zone and coupled wave-sea-ice feedbacks	17
Magnetoacoustic wave energy dissipation in the atmosphere of solar pores	17
An introduction to the Ogden model in biomechanics: benefits, implementation tools and limitations	17
A Markov chain-based model for structural vulnerability assessmentof corrosion-damaged reinforced concrete bridges	17
Pattern formation from spatially heterogeneous reaction–diffusion systems	17
Chemical upcycling of polymers	17
The role of ice lines in the formation of Uranus and Neptune	17
GPT-4 passes the bar exam	17
Wind waves in sea ice of the western Arctic and a global coupled wave-ice model	17
Pattern formation in drying blood drops	17
Sources and space–time distribution of the electromagnetic pulses in experiments on inertial confinement fusion and laser–plasma acceleration	17
Towards quantum simulations in particle physics and beyond on noisy intermediate-scale quantum devices	17
An overall view of temperature oscillations in the solar chromosphere with ALMA	16
Ice giant magnetospheres	16
FAIR data pipeline: provenance-driven data management for traceable scientific workflows	16
Estimating design hydrologic extremes in a warming climate: alternatives, uncertainties and the way forward	16
Snap buckling of bistable beams under combined mechanical and magnetic loading	16
Semi-uniform stability of operator semigroups and energy decay of damped waves	16
Heterogeneity in the onwards transmission risk between local and imported cases affects practical estimates of the time-dependent reproduction number	16
Magnetic field generation from composition gradients in inertial confinement fusion fuel	16
Permafrost thaw driven changes in hydrology and vegetation cover increase trace gas emissions and climate forcing in Stordalen Mire from 1970 to 2014	15
Sampling effects in quantum mechanical/molecular mechanics trajectory surface hopping non-adiabatic dynamics	15
A novel artificial intelligence based intensive care unit monitoring system: using physiological waveforms to identify sepsis	15
Using high-resolution climate change information in water management: a decision-makers' perspective	15
A framework for probabilistic weather forecast post-processing across models and lead times using machine learning	15
The influence of non-stationarity and interphase curvature on the growth dynamics of spherical crystals in a metastable liquid	15
Modelling attenuation of irregular wave fields by artificial ice floes in the laboratory	15
The case for free and open source software in research and scholarship	15
Ice giant system exploration in the 2020s: an introduction	15
The broad edge of synchronization: Griffiths effects and collective phenomena in brain networks	15
Micro-cracks and micro-fractures reveal radular tooth architecture and its functional significance in the paludomid gastropodLavigeria grandis	15
Vibrational resonance in a driven two-level quantum system, linear and nonlinear response	14
Potential for combining semantics and data analysis in the context of digital twins	14

Wave-in-ice: theoretical bases and field observations	14
Modelling wave–ice interactions in three dimensions in the marginal ice zone	14
Localized bulging of an inflated rubber tube with fixed ends	14
The lunar surface as a recorder of astrophysical processes	14
Understanding fast-ion conduction in solid electrolytes	14
Small-molecule autocatalytic networks are universal metabolic fossils	14
Methane and the Paris Agreement temperature goals	14
Relations between earthquake distributions, geological history, tectonics and rheology on the continents	14
Instanton theory for Fermi’s golden rule and beyond	14
Unified framework for localized patterns in reaction–diffusion systems; the Gray–Scott and Gierer–Meinhardt cases	14
Atom-by-atom analysis of sintering dynamics and stability of Pt nanoparticle catalysts in chemical reactions	14
A physics-based digital twin for model predictive control of autonomous unmanned aerial vehicle landing	14
A statistical model of COVID-19 testing in populations: effects of sampling bias and testing errors	14
Is the destruction or removal of atmospheric methane a worthwhile option?	14
Non-flooded riparian Amazon trees are a regionally significant methane source	14
On some applications of vibrational resonance on noisy image perception: the role of the perturbation parameters	13
Engineering human-focused Industrial Cyber-Physical Systems in Industry 4.0 context	13
Concentrated lunar resources: imminent implications for governance and justice	13
Mathematical problems of nematic liquid crystals: between dynamical and stationary problems	13
GPU-accelerated real-time reconstruction in Python of three-dimensional datasets from structured illumination microscopy with hexagonal patterns	13
The Galerkin-truncated Burgers equation: crossover from inviscid-thermalized to Kardar–Parisi–Zhang scaling	13
Theoretical perspectives on non-Born–Oppenheimer effects in chemistry	13
Stochastic resonance in deformable potential with time-delayed feedback	13
Extreme events in transitional turbulence	13
An econometric model for intraday electricity trading	13
Systems for intricate patterning of the vertebrate anatomy	13
Analysing the dynamic structure of warm dense matter in the imaginary-time domain: theoretical models and simulations	13
When we can trust computers (and when we can't)	12
Optimal shortcuts of stimulated Raman adiabatic passage in the presence of dissipation	12
Modelling of hemodynamics in bifurcation lesions of coronary arteries before and after myocardial revascularization	12
Response of extreme precipitation to uniform surface warming in quasi-global aquaplanet simulations at high resolution	12
Introduction to ‘Recent progress and open frontiers in Turing’s theory of morphogenesis’	12
A fast and efficient deep learning procedure for tracking droplet motion in dense microfluidic emulsions	12
Eddy heat exchange at the boundary under white noise turbulence	12
Convective storms and atmospheric vertical structure in Uranus and Neptune	12
Understanding domain-wall encoding theoretically and experimentally	12
Structured illumination microscopy and image scanning microscopy: a review and comparison of imaging properties	12
Physics-inspired analysis of the two-class income distribution in the USA in 1983–2018	12
The Ogden model of rubber mechanics: 50 years of impact on nonlinear elasticity	12
Lattice Boltzmann simulations on the tumbling to tank-treading transition: effects of membrane viscosity	12
Accurately constraining velocity information from spectral imaging observations using machine learning techniques	12
A global assessment of the impact of school closure in reducing COVID-19 spread	12
Palmitic acid sophorolipid biosurfactant: from self-assembled fibrillar network (SAFiN) to hydrogels with fast recovery	12
Theoretical framework for the emergent floe size distribution in the marginal ice zone: the case for log-normality	12
Contact probing of prestressed adhesive membranes of living cells	12
Learning from reproducing computational results: introducing three principles and theReproduction Package	12
Improving axial resolution in Structured Illumination Microscopy using deep learning	12
Generation of intense dissipation in high Reynolds number turbulence	12
Mixed-quantum-classical or fully-quantized dynamics? A unified code to compare methods	12
Spectropolarimetric fluctuations in a sunspot chromosphere	12
Statistical and agent-based modelling of the transmissibility of different SARS-CoV-2 variants in England and impact of different interventions	12
A mathematical model for the auxetic response of liquid crystal elastomers	12
Vibrational resonance in a neuron–astrocyte coupled model	12
Reliability and reproducibility in computational science: implementing validation, verification and uncertainty quantification in silico	12
Defect driven physics-informed neural network framework for fatigue life prediction of additively manufactured materials	12
Characterizing stochastic resonance in a triple cavity	11
Managing the effects of extreme sub-daily rainfall and flash floods—a practitioner's perspective	11
Modelling the Arctic wave-affected marginal ice zone: a comparison with ICESat-2 observations	11
Effectiveness of social distancing measures and lockdowns for reducing transmission of COVID-19 in non-healthcare, community-based settings	11
Simulating digital micromirror devices for patterning coherent excitation light in structured illumination microscopy	11
Acoustic-gravity wave propagation characteristics in three-dimensional radiation hydrodynamic simulations of the solar atmosphere	11
Laser-free super-resolution microscopy	11
A life cycle assessment of hard carbon anodes for sodium-ion batteries	11
Comparing pedestal structure in JET-ILW H-mode plasmas with a model for stiff ETG turbulent heat transport	11
Opinion polarization in social networks	11
At the molecular resolution with MINFLUX?	11
Spreading of fake news, competence and learning: kinetic modelling and numerical approximation	11
Strategic analysis of the drought resilience of water supply systems	11
One-dimensional hydrodynamic simulations of low convergence ratio direct-drive inertial confinement fusion implosions	11
Human habitats: prospects for infrastructure supporting astronomy from the Moon	11
Granular effects in sea ice rheology in the marginal ice zone	11
Echo state network models for nonlinear Granger causality	11
Proper orthogonal and dynamic mode decomposition of sunspot data	11
Transverse motions in sunspot super-penumbral fibrils	11
Greenhouse gases drove the increasing trends in spring precipitation across the central USA	11
Enabling single-molecule localization microscopy in turbid food emulsions	10
Fuzzy logic: about the origins of fast ion dynamics in crystalline solids	10
Helical fluid and (Hall)-MHD turbulence: a brief review	10
Fracture asperity evolution during the transition from stick slip to stable sliding	10
(An overview of) Synergistic reconstruction for multimodality/multichannel imaging methods	10
Observation of anomalous spectral downshifting of waves in the Okhotsk Sea Marginal Ice Zone	10
Behavioural response to heterogeneous severity of COVID-19 explains temporal variation of cases among different age groups	10
Synergistic motion compensation strategies for positron emission tomography when acquired simultaneously with magnetic resonance imaging	10
Whole-beam self-focusing in fusion-relevant plasma	10
Gaussian processes meet NeuralODEs: a Bayesian framework for learning the dynamics of partially observed systems from scarce and noisy data	10
Pattern forming systems coupling linear bulk diffusion to dynamically active membranes or cells	10
Structured illumination microscopy artefacts caused by illumination scattering	10
The role of the Southern Ocean in the global climate response to carbon emissions	10
Crossed beam energy transfer between optically smoothed laser beams in inhomogeneous plasmas	10
Characterization of shock wave signatures at millimetre wavelengths from Bifrost simulations	10
Advanced materials design based on waste wood and bark	10
Spontaneous symmetry breaking for extreme vorticity and strain in the three-dimensional Navier–Stokes equations	10
A model of symbiomemesis: machine education and communication as pillars for human-autonomy symbiosis	10
Amplification of optical signals in a bistable vertical-cavity surface-emitting laser by vibrational resonance	10
Progress and opportunities for inertial fusion energy in Europe	10