Proceedings of the Royal Society A-Mathematical Physical and Engineeri

(The TQCC of Proceedings of the Royal Society A-Mathematical Physical and Engineeri is 10. The table below lists those papers that are above that threshold based on CrossRef citation counts. The publications cover those that have been published in the past four years, i.e., from 2019-05-01 to 2023-05-01.)
Huygens's clocks308
Sparse identification of nonlinear dynamics for model predictive control in the low-data limit167
Quasi–static studies of the deformation and failure ofβ–HMX based polymer bonded explosives110
Storyline approach to the construction of regional climate change information82
Quantum Shannon theory with superpositions of trajectories51
An experimental correlation of turbulent burning velocities for premixed turbulent methane-air combustion51
On fibre dispersion modelling of soft biological tissues: a review45
Quantifying magic for multi-qubit operations42
Interplay between cost and effectiveness in influenza vaccine uptake: a vaccination game approach37
Terminal fall velocity: the legacy of Stokes from the perspective of fluvial hydraulics37
Synergistic third-party rewarding and punishment in the public goods game36
Towards a methodology for testing models as hypotheses in the inexact sciences36
Model selection for hybrid dynamical systems via sparse regression35
Study of 40-atom Pt–Au clusters using a combined empirical potential-density functional approach33
Revisiting the Fisher–Kolmogorov–Petrovsky–Piskunov equation to interpret the spreading–extinction dichotomy33
Control of chaotic systems by deep reinforcement learning32
Assessment of protection system positioning and models using observations of lightning strikes to structures32
Stratified flow over topography: bifurcation fronts and transition to the uncontrolled state32
The controlled synthesis of complex hollow nanostructures and prospective applications 31
On the role of localizations in buckling of axially compressed cylinders31
Basin bifurcations, oscillatory instability and rate-induced thresholds for Atlantic meridional overturning circulation in a global oceanic box model30
Solar geoengineering to reduce climate change: a review of governance proposals30
Koopman wavefunctions and classical–quantum correlation dynamics30
Modelling and analysing the coexistence of dual dilemmas in the proactive vaccination game and retroactive treatment game in epidemic viral dynamics29
Theoretical framework for higher-order quantum theory29
Modelling and testing of a wave energy converter based on dielectric elastomer generators29
Geometric auxetics27
A substrate-independent framework to characterize reservoir computers25
A review of the mechanism by which exploding bridge-wire detonators function24
General rogue wave solutions of the coupled Fokas–Lenells equations and non-recursive Darboux transformation23
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures23
General expressions for energy–release rates for delamination in composite laminates21
Design of quasibrittle materials and structures to optimize strength and scaling at probability tail: an apercu21
Curvature, metric and parametrization of origami tessellations: theory and application to the eggbox pattern21
Investigations of ferroelectric polycrystalline bulks and thick films using piezoresponse force microscopy20
Non-equilibrium turbulence scalings and self-similarity in turbulent planar jets20
A one-dimensional individual-based mechanical model of cell movement in heterogeneous tissues and its coarse-grained approximation19
Dyakonov–Voigt surface waves18
Satellite conjunction analysis and the false confidence theorem18
Multi-scale analysis for concentration distribution in an oscillatory Couette flow17
Mass-based finite volume scheme for aggregation, growth and nucleation population balance equation16
Theory of the flow-induced deformation of shallow compliant microchannels with thick walls16
Sex-dependent differences in central artery haemodynamics in normal and fibulin-5 deficient mice: implications for ageing16
Trapping of water waves by pairs of submerged cylinders15
A fully coupled subwavelength resonance approach to filtering auditory signals15
Transverse motion instability of a submerged moored buoy15
Anisotropic bidispersive convection15
An asymptotic hyperbolic–elliptic model for flexural-seismic metasurfaces15
On the reversible extraction of classical information from a quantum source14
Revisiting the simulation of quantum Turing machines by quantum circuits14
The unified transform for mixed boundary condition problems in unbounded domains14
Formal structure of periodic system of elements14
Silicon isotopes in Arctic and sub-Arctic glacial meltwaters: the role of subglacial weathering in the silicon cycle14
An efficient numerical approach for simulating contact in origami assemblages14
Bed particle saltation in turbulent wall-shear flow: a review14
Kinetics of surface growth with coupled diffusion and the emergence of a universal growth path13
Horizontally isotropic double porosity convection13
Dynamics of droplet impingement on bioinspired surface: insights into spreading, anomalous stickiness and break-up13
Surface wave scattering by submerged cylinders of arbitrary cross–section12
Derivation of delay equation climate models using the Mori-Zwanzig formalism12
Dispersion and topological characteristics of permutative polyatomic phononic crystals12
A new classification for thermal development of fluid flow in a circular tube under laminar forced convection12
TheN-flagella problem: elastohydrodynamic motility transition of multi-flagellated bacteria12
Quantum advantage of unitary Clifford circuits with magic state inputs12
Thermodynamics of heating12
Gevrey asymptotics and Stieltjes transforms of algebraically decaying functions12
A proof that multiple waves propagate in ensemble-averaged particulate materials12
Interplay of electro-thermo-solutal advection and internal electrohydrodynamics governed enhanced evaporation of droplets12
A new Rayleigh-like wave in guided propagation of antiplane waves in couple stress materials11
A rational framework for dynamic homogenization at finite wavelengths and frequencies10
Hard-particle rotation enabled soft–hard integrated auxetic mechanical metamaterials10
Laboratory investigation of crest height statistics in intermediate water depths10
Omnidirectional flexural invisibility of multiple interacting voids in vibrating elastic plates10
Inclined convection in a porous Brinkman layer: linear instability and nonlinear stability10
Time as a consequence of internal coherence10
Enhancing synchrony in multiplex network due to rewiring frequency10
Formulation of the Reynolds equation on a time-dependent lubrication surface10
Lubrication model of suspension flow in a hydraulic fracture with frictional rheology for shear-induced migration and jamming10
Two-point wavepacket modelling of jet noise10
Classifying and analysis of random composites using structural sums feature vector10
Union bound for quantum information processing10