Proceedings of the Royal Society A-Mathematical Physical and Engineeri

Papers
(The median citation count of Proceedings of the Royal Society A-Mathematical Physical and Engineeri is 2. 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 2020-03-01 to 2024-03-01.)
ArticleCitations
Environmental sustainability of biofuels: a review167
A modelling framework to assess the likely effectiveness of facemasks in combination with ‘lock-down’ in managing the COVID-19 pandemic161
Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks102
Shallow neural networks for fluid flow reconstruction with limited sensors91
SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics75
Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling73
Evolution of spray and aerosol from respiratory releases: theoretical estimates for insight on viral transmission63
Ensemble-SINDy: Robust sparse model discovery in the low-data, high-noise limit, with active learning and control62
Observation and modelling of solar jets53
Contactless acoustic micro/nano manipulation: a paradigm for next generation applications in life sciences50
A unified approach for topology optimization with local stress constraints considering various failure criteria: von Mises, Drucker–Prager, Tresca, Mohr–Coulomb, Bresler– Pister and Willam–Warnke45
The ventilation of buildings and other mitigating measures for COVID-19: a focus on wintertime45
Marine iodine emissions in a changing world40
Inductive biases for deep learning of higher-level cognition38
Polaritons and excitons: Hamiltonian design for enhanced coherence36
Earth's water reservoirs in a changing climate36
Oscillatory dynamics in the dilemma of social distancing36
Contributions of modern network science to the cognitive sciences: revisiting research spirals of representation and process35
Structure and function in human and primate social networks: implications for diffusion, network stability and health33
Epidemics on multilayer simplicial complexes32
Laguerre polynomial-based operational matrix of integration for solving fractional differential equations with non-singular kernel31
The impacts of ocean acidification on marine trace gases and the implications for atmospheric chemistry and climate30
Microfluidic devices for the detection of viruses: aspects of emergency fabrication during the COVID-19 pandemic and other outbreaks30
Complex evolutionary dynamics due to punishment and free space in ecological multigames29
The relationship between viscoelasticity and elasticity29
Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations28
Matrix models and deformations of JT gravity28
Dilation of subglacial sediment governs incipient surge motion in glaciers with deformable beds27
Bits and pieces: understanding information decomposition from part-whole relationships and formal logic26
Mixed-precision iterative refinement using tensor cores on GPUs to accelerate solution of linear systems26
A symmetry-preserving difference scheme and analytical solutions of a generalized higher-order beam equation26
Pear-shaped atomic nuclei26
Measuring social networks in primates: wearable sensors versus direct observations26
Dynamics of fluid displacement in mixed-wet porous media25
Bayesian mechanics for stationary processes24
Contact geometry for simple thermodynamical systems with friction24
Physics-informed dynamic mode decomposition24
Vigorous convection in porous media24
Microstructure-sensitive critical plastic strain energy density criterion for fatigue life prediction across various loading regimes23
A review of the UK and British Channel Islands practical tidal stream energy resource23
A generalized fractional-order elastodynamic theory for non-local attenuating media23
Cost efficiency of institutional incentives for promoting cooperation in finite populations22
An agent-based model of the interrelation between the COVID-19 outbreak and economic activities22
Heterogeneity in evolutionary games: an analysis of the risk perception22
A revisit of the tonal noise of small rotors22
Network comparison and the within-ensemble graph distance22
Magnetic reconnection in partially ionized plasmas21
Electrocharged facepiece respirator fabrics using common materials20
Big influence of small random imperfections in origami-based metamaterials20
Certain implementations in fractional calculus operators involving Mittag-Leffler-confluent hypergeometric functions20
Contemporary sea-level changes from global to local scales: a review20
Electric field control of magnetism20
Turing and Benjamin–Feir instability mechanisms in non-autonomous systems19
Using a robotic platform to study the influence of relative tailbeat phase on the energetic costs of side-by-side swimming in fish19
Indirect reduced-order modelling: using nonlinear manifolds to conserve kinetic energy18
Core–periphery structure in directed networks18
Validity of Winkler’s mattress model for thin elastomeric layers: beyond Poisson’s ratio18
Discretization of the Bloch sphere, fractal invariant sets and Bell’s theorem17
Parameterized neural ordinary differential equations: applications to computational physics problems17
Superconductivity and nucleation from fractal anisotropy and product-like fractal measure17
Coriolis effect on thermal convection in a rotating bidispersive porous layer17
Kernel learning for robust dynamic mode decomposition: linear and nonlinear disambiguation optimization17
SUIHTER : a new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy17
Localized structures on librational and rotational travelling waves in the sine-Gordon equation17
Three-dimensional magnetic reconnection in astrophysical plasmas17
Learning functionals via LSTM neural networks for predicting vessel dynamics in extreme sea states17
Deriving pairwise transfer entropy from network structure and motifs16
Neural closure models for dynamical systems16
Quotation errors in general science journals16
Terahertz-range plasmon and whispering gallery mode resonances in the plane wave scattering from thin microsize dielectric disk with graphene covers16
Explicit Cartesian oval as a superconic surface for stigmatic imaging optical systems with real or virtual source or image16
The mechanics of brittle granular materials with coevolving grain size and shape16
Terahertz range resonances of metasurface formed by double-layer grating of microsize graphene strips inside dielectric slab16
Epidemics on hypergraphs: spectral thresholds for extinction16
Short- and long-term predictions of chaotic flows and extreme events: a physics-constrained reservoir computing approach15
Knot polynomials of open and closed curves15
The accumulative law and its probability model: an extension of the Pareto distribution and the log-normal distribution15
High endemic levels of typhoid fever in rural areas of Ghana may stem from optimal voluntary vaccination behaviour15
Structured time-delay models for dynamical systems with connections to Frenet–Serret frame15
Data-driven nonlinear aeroelastic models of morphing wings for control15
Semi-martingale driven variational principles15
Rogue waves in the three-level defocusing coupled Maxwell–Bloch equations15
A novel matrix technique for multi-order pantograph differential equations of fractional order15
Bayesian differential programming for robust systems identification under uncertainty15
A mathematical analysis for constructal design of tree flow networks under unsteady flow14
Speed oscillations in classical pilot-wave dynamics14
Non-standard magnetohydrodynamics equations and their implications in sunspots14
Liquid crystals on deformable surfaces14
Crosswise tensile resistance of masonry patterns due to contact friction14
How rare are power-law networks really?14
Observing the Mpemba effect with minimal bias and the value of the Mpemba effect to scientific outreach and engagement13
Architecture and evolution of semantic networks in mathematics texts13
Influence of temperature on Turing pattern formation13
A Fano-based acoustic metamaterial for ultra-broadband sound barriers13
The mathematical foundations of anelasticity: existence of smooth global intermediate configurations13
Conical Kresling origami and its applications to curvature and energy programming13
Discovery of nonlinear dynamical systems using a Runge–Kutta inspired dictionary-based sparse regression approach13
Searching for a source without gradients: how good is infotaxis and how to beat it13
Improved phase-field models of melting and dissolution in multi-component flows13
On the propagation of nonlinear waves in the atmosphere13
Extreme dissipation and intermittency in turbulence at very high Reynolds numbers13
Fixed-time synchronization of quaternion-valued neural networks with time-varying delay13
Spectral theory of diffusion in partially absorbing media13
Addressing the curse of dimensionality in stochastic dynamics: a Wiener path integral variational formulation with free boundaries13
Population dynamics with spatial structure and an Allee effect13
Phase tipping: how cyclic ecosystems respond to contemporary climate13
A new Rayleigh-like wave in guided propagation of antiplane waves in couple stress materials13
Variational analysis of landscape elevation and drainage networks12
Robust imaging using electrical impedance tomography: review of current tools12
On the Wiener–Hopf solution of water-wave interaction with a submerged elastic or poroelastic plate12
A one-dimensional model for elasto-capillary necking12
High-resolution thickness maps of corrosion using SH1 guided wave tomography12
Magnetic winding: what is it and what is it good for?12
Radio-frequency chain selection for energy and spectral efficiency maximization in hybrid beamforming under hardware imperfections12
Fusion of multi-view ultrasonic data for increased detection performance in non-destructive evaluation12
The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods12
Asymptotic analysis of extended two-dimensional narrow capture problems12
Discovering governing equations from partial measurements with deep delay autoencoders12
A refined dynamic finite-strain shell theory for incompressible hyperelastic materials: equations and two-dimensional shell virtual work principle12
A theory of pattern formation for reaction–diffusion systems on temporal networks12
Passage through exceptional point: case study12
Fractional-order viscoelastic model of musculoskeletal tissues: correlation with fractals11
Polarization whorls from M87* at the event horizon telescope11
A new method to generate superoscillating functions and supershifts11
A new type of constitutive equation for nonlinear elastic bodies. Fitting with experimental data for rubber-like materials11
From a discrete model of chemotaxis with volume-filling to a generalized Patlak–Keller–Segel model11
Weyl almost automorphic solutions in distribution sense of Clifford-valued stochastic neural networks with time-varying delays11
Routes to global glaciation11
Collective vibrations of a hydrodynamic active lattice11
Analytical model for electrohydrodynamic thrust11
Effects of Lorentz symmetry breaking by a tensor field subject to Coulomb-type potential on relativistic quantum oscillator11
Ultrasensitivity and bistability in covalent-modification cycles with positive autoregulation10
Stochastic compartmental models of the COVID-19 pandemic must have temporally correlated uncertainties10
Extensive layer clouds in the global electric circuit: their effects on vertical charge distribution and storage10
Multi-breather solutions to the Sasa–Satsuma equation10
Review of the exponential and Cayley map on SE(3) as relevant for Lie group integration of the generalized Poisson equation and flexible multibody systems10
Placing limits on long-term variations in quiet-Sun irradiance and their contribution to total solar irradiance and solar radiative forcing of climate10
Inflationary routes to Gaussian curved topography10
Highly coordinated nationwide massive travel restrictions are central to effective mitigation and control of COVID-19 outbreaks in China10
Three-phase flow displacement dynamics and Haines jumps in a hydrophobic porous medium10
An exact analysis of scalar transport in hydromagnetic flow between two parallel plates: a multi-scale approach10
An extensive review of computational dance automation techniques and applications10
Learning on dynamic statistical manifolds10
Wallpaper group kirigami10
Deviations from classical droplet evaporation theory10
Active thermal cloaking and mimicking10
Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours10
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 node10
Effects of partial measurements on quantum resources and quantum Fisher information of a teleported state in a relativistic scenario10
A damage model for collagen fibres with an application to collagenous soft tissues10
Nematic liquid crystalline elastomers are aeolotropic materials10
Better strategies for containing COVID-19 pandemic: a study of 25 countries via a vSIADR model10
Vaccinating behaviour guided by imitation and aspiration9
Inverse differential quadrature method: mathematical formulation and error analysis9
Plasmonic modes in cylindrical nanoparticles and dimers9
Exponential stability in Mindlin’s Form II gradient thermoelasticity with microtemperatures of type III9
Physics-informed Dyna-style model-based deep reinforcement learning for dynamic control9
Predicting the spatio-temporal infection risk in indoor spaces using an efficient airborne transmission model9
Rheology of three-phase suspensions determined via dam-break experiments9
Shape analysis via inconsistent surface registration9
Biomechanical modelling of spinal tumour anisotropic growth9
Structural engineering from an inverse problems perspective9
Delayed Leidenfrost phenomenon during impact of elastic fluid droplets9
A study on resonant collision in the two-dimensional multi-component long-wave–short-wave resonance system9
Viability of slow-roll inflation in light of the non-zero k min measured in the cosmic microwave background power spectrum9
Whitham equations and phase shifts for the Korteweg–de Vries equation9
A pseudo-anelastic model for stress softening in liquid crystal elastomers9
A data-centric approach to generative modelling for 3D-printed steel9
Unsteady Reynolds-averaged Navier–Stokes investigation of free surface wave impact on tidal turbine wake9
Chiral triclinic metamaterial crystals supporting isotropic acoustical activity and isotropic chiral phonons9
Recovering multiple fractional orders in time-fractional diffusion in an unknown medium9
The seismic wavefield as seen by distributed acoustic sensing arrays: local, regional and teleseismic sources9
Continent-scale Hiatus Maps for the Atlantic Realm and Australia since the Upper Jurassic and links to mantle flow induced dynamic topography9
Using spectral submanifolds for optimal mode selection in nonlinear model reduction9
Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics9
Fate of a bulge in an inflated hyperelastic tube: theory and experiment9
Mega riverbed-patterns: linear and weakly nonlinear perspectives9
Direct and inverse scattering problems of the modified Sawada–Kotera equation: Riemann–Hilbert approach9
Necessary and sufficient conditions on measurements of quantum channels9
Simple, low-cost and accurate data-driven geophysical forecasting with learned kernels9
Understanding the role of urban design in disease spreading9
Universal deformations in inhomogeneous isotropic nonlinear elastic solids8
Flexural tensegrity of segmental beams8
A framework for second-order eigenvector centralities and clustering coefficients8
Tunable mechanical diode of nonlinear elastic metamaterials induced by imperfect interface8
Onset and limiting amplitude of yaw instability of a submerged three-tethered buoy8
Target competition for resources under multiple search-and-capture events with stochastic resetting8
The effect of an exterior electric field on the instability of dielectric plates8
An improved statistical approach for reconstructing past climates from biotic assemblages8
Self-rotating 3D chiral mechanical metamaterials8
Rapid indirect solar responses observed in the lower atmosphere8
The wave function as a true ensemble8
Finite-horizon, energy-efficient trajectories in unsteady flows8
Capillary imbibition of non-Newtonian fluids in a microfluidic channel: analysis and experiments8
Nonlinear viscoelasticity of strain rate type: an overview8
Mechanisms of root reinforcement in soils: an experimental methodology using four-dimensional X-ray computed tomography and digital volume correlation8
Analogue neuro-memristive convolutional dropout nets8
A system model of three-body interactions in complex networks: consensus and conservation8
Optimization of a type of elastic metamaterial for broadband wave suppression8
Nonlinear system of PT-symmetric excitations and Toda vibrations integrable by the Darboux–Bäcklund dressing method8
The generalized Wiener–Hopf equations for wave motion in angular regions: electromagnetic application8
Folding arrays of uniform-thickness panels to compact bundles with a single degree of freedom8
Inert gas bubble formation in magnetron sputtered thin-film CdTe solar cells8
A Mathieu function boundary spectral method for scattering by multiple variable poro-elastic plates, with applications to metamaterials and acoustics8
How old are dense-core vesicles residing in en passant boutons: simulation of the mean age of dense-core vesicles in axonal arbours accounting for resident and transitin8
Bayesian uncertainty quantification for data-driven equation learning8
Fokas method for linear boundary value problems involving mixed spatial derivatives8
USP: an independence test that improves on Pearson’s chi-squared and the G -test8
Elastic waves in particulate glass-rubber mixtures8
Topological mode switching in modulated structures with dynamic encircling of an exceptional point8
Globally-evolving-based generalized density evolution equation for nonlinear systems involving randomness from both system parameters and excitations8
The changing nature of Earth's reflected sunlight8
Magic state distillation with the ternary Golay code8
Optical wireless communications for cyber-secure ubiquitous wireless networks8
SINDy for delay-differential equations: application to model bacterial zinc response8
Mechanisms and measures for the ductility of materials failure8
Non-reciprocal acoustics in a viscous environment8
Acceleration waves and oscillating gas bubbles modelled by rational extended thermodynamics7
Enhanced attraction between drops carrying fluctuating charge distributions7
Fast active thermal cloaking through PDE-constrained optimization and reduced-order modelling7
A probabilistic model of diffusion through a semi-permeable barrier7
Sensitivity analysis of Wasserstein distributionally robust optimization problems7
Thermal oscillations, second sound and thermal resonance in phonon hydrodynamics7
Plesio-geostrophy for Earth’s core: I. Basic equations, inertial modes and induction7
Brachistochrone on a velodrome7
Design of arbitrarily shaped acoustic cloaks through partial differential equation-constrained optimization satisfying sonic-metamaterial design requirements7
Superdeterministic hidden-variables models I: non-equilibrium and signalling7
Pair approximation model for the vaccination game: predicting the dynamic process of epidemic spread and individual actions against contagion7
Mechanics of tension-induced film wrinkling and restabilization: a review7
How surface stress transforms surface profiles and adhesion of rough elastic bodies7
Scattering of surface waves by a vertical truncated structured cylinder7
Interaction between surface waves on wire lines7
Editorial: citation malpractice7
Explanation of the onset of bouncing cycles in isotropic rotor dynamics; a grazing bifurcation analysis7
Addendum 2020 to ‘Measurement of the Earth’s rotation: 720 BC to AD 2015’7
On explicit Wiener–Hopf factorization of 2 × 2 matrices in a vicinity of a given matrix7
On blockage coefficients: flow past a body in a pipe7
Novel statistical emulator construction for volcanic ash transport model Ash3d with physically motivated measures7
Post-bifurcation behaviour of elasto-capillary necking and bulging in soft tubes7
Modelling song popularity as a contagious process7
A focusing and defocusing semi-discrete complex short-pulse equation and its various soliton solutions7
Rational solutions of the defocusing non-local nonlinear Schrödinger equation: asymptotic analysis and soliton interactions7
A new class of mass dimension one fermions7
f -distance of knotoids and protein structure7
Enhanced models for the nonlinear bending of planar rods: localization phenomena and multistability7
Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework6
Perturbation theory for Bose–Einstein condensates on bounded space domains6
The cost of quantum locality6
Violations of the Clausius–Duhem inequality in Couette flows of granular media6
Short branch cut approximation in two-dimensional hydrodynamics with free surface6
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