Proceedings of the Royal Society A-Mathematical Physical and Engineeri

Article	Citations
Environmental sustainability of biofuels: a review	230
SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics	111
Ensemble-SINDy: Robust sparse model discovery in the low-data, high-noise limit, with active learning and control	91
Observation and modelling of solar jets	68
Evolution of spray and aerosol from respiratory releases: theoretical estimates for insight on viral transmission	65
Inductive biases for deep learning of higher-level cognition	65
Contactless acoustic micro/nano manipulation: a paradigm for next generation applications in life sciences	65
Marine iodine emissions in a changing world	51
Epidemics on multilayer simplicial complexes	50
Physics-informed dynamic mode decomposition	45
Polaritons and excitons: Hamiltonian design for enhanced coherence	44
The ventilation of buildings and other mitigating measures for COVID-19: a focus on wintertime	43
Oscillatory dynamics in the dilemma of social distancing	40
A symmetry-preserving difference scheme and analytical solutions of a generalized higher-order beam equation	38
The relationship between viscoelasticity and elasticity	35
A revisit of the tonal noise of small rotors	34
Laguerre polynomial-based operational matrix of integration for solving fractional differential equations with non-singular kernel	33
Bits and pieces: understanding information decomposition from part-whole relationships and formal logic	33
Microfluidic devices for the detection of viruses: aspects of emergency fabrication during the COVID-19 pandemic and other outbreaks	33
Complex evolutionary dynamics due to punishment and free space in ecological multigames	32
Matrix models and deformations of JT gravity	32
An agent-based model of the interrelation between the COVID-19 outbreak and economic activities	31
Cost efficiency of institutional incentives for promoting cooperation in finite populations	31
Electric field control of magnetism	29
Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations	29

Bayesian mechanics for stationary processes	29
A review of the UK and British Channel Islands practical tidal stream energy resource	28
Mixed-precision iterative refinement using tensor cores on GPUs to accelerate solution of linear systems	28
Discovering governing equations from partial measurements with deep delay autoencoders	27
Kernel learning for robust dynamic mode decomposition: linear and nonlinear disambiguation optimization	26
Using a robotic platform to study the influence of relative tailbeat phase on the energetic costs of side-by-side swimming in fish	25
Three-dimensional magnetic reconnection in astrophysical plasmas	25
Contemporary sea-level changes from global to local scales: a review	24
Network comparison and the within-ensemble graph distance	23
Discovery of nonlinear dynamical systems using a Runge–Kutta inspired dictionary-based sparse regression approach	22
Certain implementations in fractional calculus operators involving Mittag-Leffler-confluent hypergeometric functions	21
Learning functionals via LSTM neural networks for predicting vessel dynamics in extreme sea states	21
Robust imaging using electrical impedance tomography: review of current tools	21
Indirect reduced-order modelling: using nonlinear manifolds to conserve kinetic energy	21
Structured time-delay models for dynamical systems with connections to Frenet–Serret frame	21
On the Wiener–Hopf solution of water-wave interaction with a submerged elastic or poroelastic plate	21
Epidemics on hypergraphs: spectral thresholds for extinction	20
Electrocharged facepiece respirator fabrics using common materials	20
Validity of Winkler’s mattress model for thin elastomeric layers: beyond Poisson’s ratio	20
Localized structures on librational and rotational travelling waves in the sine-Gordon equation	20
Terahertz-range plasmon and whispering gallery mode resonances in the plane wave scattering from thin microsize dielectric disk with graphene covers	19
Superconductivity and nucleation from fractal anisotropy and product-like fractal measure	19
Short- and long-term predictions of chaotic flows and extreme events: a physics-constrained reservoir computing approach	19
A theory of pattern formation for reaction–diffusion systems on temporal networks	19
The mechanics of brittle granular materials with coevolving grain size and shape	19
The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods	19
Improved phase-field models of melting and dissolution in multi-component flows	18
Phase tipping: how cyclic ecosystems respond to contemporary climate	18
Parameterized neural ordinary differential equations: applications to computational physics problems	18
Quotation errors in general science journals	18
Searching for a source without gradients: how good is infotaxis and how to beat it	18
SUIHTER : a new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy	18
A system model of three-body interactions in complex networks: consensus and conservation	18
Addressing the curse of dimensionality in stochastic dynamics: a Wiener path integral variational formulation with free boundaries	17
Conical Kresling origami and its applications to curvature and energy programming	17
Rogue waves in the three-level defocusing coupled Maxwell–Bloch equations	17
Semi-martingale driven variational principles	17
Neural closure models for dynamical systems	17
Weyl almost automorphic solutions in distribution sense of Clifford-valued stochastic neural networks with time-varying delays	16
On the propagation of nonlinear waves in the atmosphere	16
Bayesian differential programming for robust systems identification under uncertainty	16
A Fano-based acoustic metamaterial for ultra-broadband sound barriers	15
The mathematical foundations of anelasticity: existence of smooth global intermediate configurations	15
Review of the exponential and Cayley map on SE(3) as relevant for Lie group integration of the generalized Poisson equation and flexible multibody systems	15
Asymptotic analysis of extended two-dimensional narrow capture problems	14
Direct and inverse scattering problems of the modified Sawada–Kotera equation: Riemann–Hilbert approach	14
Physics-informed Dyna-style model-based deep reinforcement learning for dynamic control	14
Spectral theory of diffusion in partially absorbing media	14
Folding arrays of uniform-thickness panels to compact bundles with a single degree of freedom	14
Multi-breather solutions to the Sasa–Satsuma equation	14

Fusion of multi-view ultrasonic data for increased detection performance in non-destructive evaluation	14
A new method to generate superoscillating functions and supershifts	14
Population dynamics with spatial structure and an Allee effect	14
Extreme dissipation and intermittency in turbulence at very high Reynolds numbers	14
Imitation and aspiration dynamics bring different evolutionary outcomes in feedback-evolving games	14
Deviations from classical droplet evaporation theory	13
The changing nature of Earth's reflected sunlight	13
Point-like defect on Schrödinger particles under flux field with harmonic oscillator plus Mie-type potential: application to molecular potentials	13
Finite-horizon, energy-efficient trajectories in unsteady flows	13
Wallpaper group kirigami	13
Stochastic compartmental models of the COVID-19 pandemic must have temporally correlated uncertainties	13
An exact analysis of scalar transport in hydromagnetic flow between two parallel plates: a multi-scale approach	13
Highly coordinated nationwide massive travel restrictions are central to effective mitigation and control of COVID-19 outbreaks in China	12
Continent-scale Hiatus Maps for the Atlantic Realm and Australia since the Upper Jurassic and links to mantle flow induced dynamic topography	12
Magnetic winding: what is it and what is it good for?	12
High-resolution thickness maps of corrosion using SH1 guided wave tomography	12
Message passing methods on complex networks	12
An improved statistical approach for reconstructing past climates from biotic assemblages	12
Radio-frequency chain selection for energy and spectral efficiency maximization in hybrid beamforming under hardware imperfections	12
Structural engineering from an inverse problems perspective	12
The seismic wavefield as seen by distributed acoustic sensing arrays: local, regional and teleseismic sources	12
Ultrasensitivity and bistability in covalent-modification cycles with positive autoregulation	12
Cold and ultracold molecules in the twenties	12
Rheology of three-phase suspensions determined via dam-break experiments	12
Mechanics of tension-induced film wrinkling and restabilization: a review	11
Thermal oscillations, second sound and thermal resonance in phonon hydrodynamics	11
A new type of constitutive equation for nonlinear elastic bodies. Fitting with experimental data for rubber-like materials	11
Enhanced models for the nonlinear bending of planar rods: localization phenomena and multistability	11
A comprehensive analysis of different 7T SRAM topologies to design a 1R1 W bit interleaving enabled and half select free cell for 32 nm technology node	11
Chiral triclinic metamaterial crystals supporting isotropic acoustical activity and isotropic chiral phonons	11
Better strategies for containing COVID-19 pandemic: a study of 25 countries via a vSIADR model	11
A probabilistic model of diffusion through a semi-permeable barrier	11
Using spectral submanifolds for optimal mode selection in nonlinear model reduction	11
Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours	11
An extensive review of computational dance automation techniques and applications	11
Tunable mechanical diode of nonlinear elastic metamaterials induced by imperfect interface	11
Unsteady Reynolds-averaged Navier–Stokes investigation of free surface wave impact on tidal turbine wake	11
Understanding the role of urban design in disease spreading	11
Delayed Leidenfrost phenomenon during impact of elastic fluid droplets	11
Effects of Lorentz symmetry breaking by a tensor field subject to Coulomb-type potential on relativistic quantum oscillator	11
Three-phase flow displacement dynamics and Haines jumps in a hydrophobic porous medium	11
Addendum 2020 to ‘Measurement of the Earth’s rotation: 720 BC to AD 2015’	11
Simple, low-cost and accurate data-driven geophysical forecasting with learned kernels	11
Nematic liquid crystalline elastomers are aeolotropic materials	11
SINDy for delay-differential equations: application to model bacterial zinc response	10
A pseudo-anelastic model for stress softening in liquid crystal elastomers	10
Nonlinear viscoelasticity of strain rate type: an overview	10
Vassiliev measures of complexity of open and closed curves in 3-space	10
Sensitivity analysis of Wasserstein distributionally robust optimization problems	10
Eco-evolutionary dynamics of bimatrix games	10
A study on resonant collision in the two-dimensional multi-component long-wave–short-wave resonance system	10
Plasmonic modes in cylindrical nanoparticles and dimers	10
The wave function as a true ensemble	10
Capillary imbibition of non-Newtonian fluids in a microfluidic channel: analysis and experiments	10
A data-centric approach to generative modelling for 3D-printed steel	10
A novel matrix technique for multi-order pantograph differential equations of fractional order	10
Enhanced attraction between drops carrying fluctuating charge distributions	10
Optimization of a type of elastic metamaterial for broadband wave suppression	10
Building blocks that govern spontaneous and programmed pattern formation in pre-compressed bilayers	10
Modelling song popularity as a contagious process	10
Self-rotating 3D chiral mechanical metamaterials	10
Fate of a bulge in an inflated hyperelastic tube: theory and experiment	10
Universal deformations in inhomogeneous isotropic nonlinear elastic solids	10
Predicting the spatio-temporal infection risk in indoor spaces using an efficient airborne transmission model	10
Fractional-order viscoelastic model of musculoskeletal tissues: correlation with fractals	10
Topological mode switching in modulated structures with dynamic encircling of an exceptional point	10
Post-bifurcation behaviour of elasto-capillary necking and bulging in soft tubes	10
Active thermal cloaking and mimicking	10
Data-driven control of spatiotemporal chaos with reduced-order neural ODE-based models and reinforcement learning	10
Mega riverbed-patterns: linear and weakly nonlinear perspectives	10
Scattering of surface waves by a vertical truncated structured cylinder	9
The generalized Wiener–Hopf equations for wave motion in angular regions: electromagnetic application	9
Nonlinear system of PT-symmetric excitations and Toda vibrations integrable by the Darboux–Bäcklund dressing method	9
Acceleration waves and oscillating gas bubbles modelled by rational extended thermodynamics	9
Shear dilation of subglacial till results in time-dependent sliding laws	9
USP: an independence test that improves on Pearson’s chi-squared and the G -test	9
A molecular perspective on quantum information	9
Inverse differential quadrature method: mathematical formulation and error analysis	9
Indirect exclusion can promote cooperation in repeated group interactions	9
Strategies for guided acoustic wave inspection using mobile robots	9

First-order convergence of Milstein schemes for McKean–Vlasov equations and interacting particle systems	9
Superdeterministic hidden-variables models I: non-equilibrium and signalling	9
A constitutive model for transversely isotropic dispersive materials	9
Analogue neuro-memristive convolutional dropout nets	9
How surface stress transforms surface profiles and adhesion of rough elastic bodies	9
Stability selection enables robust learning of differential equations from limited noisy data	9
Globally-evolving-based generalized density evolution equation for nonlinear systems involving randomness from both system parameters and excitations	9
Optical wireless communications for cyber-secure ubiquitous wireless networks	9
Entropic uncertainty relations from equiangular tight frames and their applications	9
Shape analysis via inconsistent surface registration	9
Target competition for resources under multiple search-and-capture events with stochastic resetting	9
Elastic waves in particulate glass-rubber mixtures	9
Non-reciprocal acoustics in a viscous environment	8
Bayesian uncertainty quantification for data-driven equation learning	8
Modelling cosmic radiation events in the tree-ring radiocarbon record	8
A focusing and defocusing semi-discrete complex short-pulse equation and its various soliton solutions	8
Mean-field theory for double-well systems on degree-heterogeneous networks	8
Soft wetting with (a)symmetric Shuttleworth effect	8
Recovering multiple fractional orders in time-fractional diffusion in an unknown medium	8
On the asymptotic properties of a canonical diffraction integral	8
Rational solutions of the defocusing non-local nonlinear Schrödinger equation: asymptotic analysis and soliton interactions	8
Swell-induced flexural vibrations of a thickening ice shelf over a shoaling seabed	8
Design of arbitrarily shaped acoustic cloaks through partial differential equation-constrained optimization satisfying sonic-metamaterial design requirements	8
Tunable morphing of electroactive dielectric-elastomer balloons	8
Contact lines on stretched soft solids: modelling anisotropic surface stresses	8
Post-injection aseismic slip as a mechanism for the delayed triggering of seismicity	8
Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion	8
Plesio-geostrophy for Earth’s core: I. Basic equations, inertial modes and induction	8
A digital-twin framework for genomic-based optimization of an agrophotovoltaic greenhouse system	8
Tailored acoustic metamaterials. Part I. Thin- and thick-walled Helmholtz resonator arrays	8
Multi-fidelity non-intrusive reduced-order modelling based on manifold alignment	8
Analysis of node2vec random walks on networks	8
Complementary roles of mechanotransduction and inflammation in vascular homeostasis	8
Fast active thermal cloaking through PDE-constrained optimization and reduced-order modelling	8
Response theory and phase transitions for the thermodynamic limit of interacting identical systems	8
Finite-element and semi-analytical study of elastic wave propagation in strongly scattering polycrystals	8
Novel statistical emulator construction for volcanic ash transport model Ash3d with physically motivated measures	8
Challenges in computational fluid dynamics applications for bone tissue engineering	8
Violations of the Clausius–Duhem inequality in Couette flows of granular media	8
Wave resonances and hydroelastic wave motion	8
Collective states in a ring network of theta neurons	7
A new integrable model of long wave–short wave interaction and linear stability spectra	7
Submarine channels formation driven by turbidity currents interacting with an erodible bed	7
Everettian relative states in the Heisenberg picture	7
On quantum states over time	7
Rayleigh–Bénard magnetoconvection with temperature modulation	7
Metamaterials with Poisson's ratio discontinuity by means of fragmentation–reconstitution rotating units	7
The cost of quantum locality	7
Fracture modelling of plain concrete using non-local fracture mechanics and a graph-based computational framework	7
Superdeterministic hidden-variables models II: conspiracy	7
A Kermack–McKendrick model with age of infection starting from a single or multiple cohorts of infected patients	7
Reynolds stress anisotropy in flow over two-dimensional rigid dunes	7
Multiphysics modelling of light-actuated liquid crystal elastomers	7
A low-rank ensemble Kalman filter for elliptic observations	7
Covid-19: predictive mathematical formulae for the number of deaths during lockdown and possible scenarios for the post-lockdown period	7
On blockage coefficients: flow past a body in a pipe	7
Deterministic normal contact of rough surfaces with adhesion using a surface integral method	7
Quantum mechanics with spatial non-local effects and position-dependent mass	7
Short branch cut approximation in two-dimensional hydrodynamics with free surface	7
High-frequency homogenization in periodic media with imperfect interfaces	7
Interfacial metric mechanics: stitching patterns of shape change in active sheets	7
Nearly constant Q dissipative models and wave equations for general viscoelastic anisotropy	7
A free boundary mechanobiological model of epithelial tissues	7
Electrocharging face masks with corona discharge treatment	7
A multiple scattering formulation for finite-size flexural metasurfaces	7
Revisiting causality using stochastics: 1. Theory	7
Efficient quantum gate teleportation in higher dimensions	7
Analytical continuation of two-dimensional wave fields	7
Time-varying Bose–Einstein condensates	7
Perturbation theory for Bose–Einstein condensates on bounded space domains	7
Pair approximation model for the vaccination game: predicting the dynamic process of epidemic spread and individual actions against contagion	7
Signature of transition to supershear rupture speed in the coseismic off-fault damage zone	7
Wavenumber-space band clipping in nonlinear periodic structures	7
Interaction between surface waves on wire lines	7
Heavy-tailed distributions, correlations, kurtosis and Taylor’s Law of fluctuation scaling	7
Editorial: citation malpractice	7
f -distance of knotoids and protein structure	7
Compressed hydrogen atoms confined within generic boxes	6
A fully coupled hybrid lattice Boltzmann and finite difference method-based study of transient electrokinetic flows	6
The topological origin of the Peierls–Nabarro barrier	6
Asymptotic analysis of subglacial plumes in stratified environments	6
Selective and tunable excitation of topological non-Hermitian quasi-edge modes	6
A new approach to integrable evolution equations on the circle	6
The role of sliding in ice stream formation	6
On relativistic gasdynamics: invariance under a class of reciprocal-type transformations and integrable Heisenberg spin connections	6
Revisiting causality using stochastics: 2. Applications	6
Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework	6
Wind tunnel evaluation of novel drafting formations for an elite marathon runner	6
A novel modelling and simulation approach for the hindered mobility of charged particles in biological hydrogels	6
Aberration-corrected transmission electron microscopy of a non-graphitizing carbon	6
Stability of longitudinal sediment waves formed by turbidity currents: linear and weakly nonlinear perspectives	6
Topological effects of a global monopole on a spherical quantum dot	6
Coupling-induced instability in a ring of thermoacoustic oscillators	6
Discrete scattering and meta-arrest of locally resonant elastic wave metamaterials with a semi-infinite crack	6
Rogue waves of ultra-high peak amplitude: a mechanism for reaching up to a thousand times the background level	6