Proceedings of the Royal Society A-Mathematical Physical and Engineeri

Papers
(The H4-Index of Proceedings of the Royal Society A-Mathematical Physical and Engineeri is 24. 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 2021-11-01 to 2025-11-01.)
ArticleCitations
On the stability of solutions to Schrödinger’s equation short of the adiabatic limit169
(3+1)-dimensional-modified Kadomtsev–Petviashvili equation and its ∂¯-formalism137
Exploring the role of crystal habit in the Ostwald rule of stages94
Stability of an inhomogeneous ferrofluid in a channel, subject to a normal field86
Variational implicit solvation with Legendre-transformed Poisson–Boltzmann electrostatics61
Linear analysis of ice-shelf topography response to basal melting and freezing61
Unstable cores are the source of instability in chemical reaction networks56
Rediscovery of Cooper pair factor48
Extraction of the mass density using only the p-parts of the elastic fields generated by injected highly dense small inclusions46
Anisotropy distorts the spreading of a fixed volume porous gravity current40
A review on semi-analytical methods for aggregation and coupled aggregation–breakage equations37
Canonical scattering problem in topological metamaterials: Valley-Hall modes through a bend36
The potential impact of intensified community hand hygiene interventions on respiratory tract infections: a modelling study35
Whitham shocks and resonant dispersive shock waves governed by the higher order Korteweg–de Vries equation35
Wave spectroscopy in a driven granular material31
Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework31
Bursty switching dynamics promotes the collapse of network topologies29
Confined helium, density dependence of the inelastic electron and photon scattering cross-sections and the optical oscillator strength29
A high-resolution discourse on seismic tomography28
Pushing coarse-grained models beyond the continuum limit using equation learning27
Frequency tunable electromagnetic vibration energy harvester using piecewise linear nonlinearity27
Riemannian geometry and molecular similarity I: spectrum of the Laplacian27
Flexural wave interaction with compressive floating ice over undulating porous bed25
Stochastic calculus of run-and-tumble motion: an applied perspective25
Modelling the dynamics of product adoption and abandonment24
Predictions of asthenosphere flow from Couette/Poiseuille models compared to seismic anisotropy and mantle circulation models24
The formation of cave scallops24
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