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 25. 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 2021-10-01 to 2025-10-01.)
ArticleCitations
On the stability of solutions to Schrödinger’s equation short of the adiabatic limit161
(3+1)-dimensional-modified Kadomtsev–Petviashvili equation and its ∂¯-formalism131
Exploring the role of crystal habit in the Ostwald rule of stages91
Stability of an inhomogeneous ferrofluid in a channel, subject to a normal field82
Frequency tunable electromagnetic vibration energy harvester using piecewise linear nonlinearity59
Linear analysis of ice-shelf topography response to basal melting and freezing56
Unstable cores are the source of instability in chemical reaction networks54
Rediscovery of Cooper pair factor46
Extraction of the mass density using only the p-parts of the elastic fields generated by injected highly dense small inclusions43
Anisotropy distorts the spreading of a fixed volume porous gravity current41
A review on semi-analytical methods for aggregation and coupled aggregation–breakage equations39
Canonical scattering problem in topological metamaterials: Valley-Hall modes through a bend37
Whitham shocks and resonant dispersive shock waves governed by the higher order Korteweg–de Vries equation35
Influence of the growth gradient on surface wrinkling and pattern transition in growing tubular tissues34
The potential impact of intensified community hand hygiene interventions on respiratory tract infections: a modelling study34
Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework30
Wave spectroscopy in a driven granular material30
Modelling the dynamics of product adoption and abandonment29
Variational implicit solvation with Legendre-transformed Poisson–Boltzmann electrostatics29
Confined helium, density dependence of the inelastic electron and photon scattering cross-sections and the optical oscillator strength28
Bursty switching dynamics promotes the collapse of network topologies27
Riemannian geometry and molecular similarity I: spectrum of the Laplacian27
A high-resolution discourse on seismic tomography26
Pushing coarse-grained models beyond the continuum limit using equation learning26
Modelling of stress transfer in root-reinforced soils informed by four-dimensional X-ray computed tomography and digital volume correlation data25
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