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
Linear analysis of ice-shelf topography response to basal melting and freezing61
Variational implicit solvation with Legendre-transformed Poisson–Boltzmann electrostatics61
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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