Mathematical Models & Methods in Applied Sciences

Papers
(The H4-Index of Mathematical Models & Methods in Applied Sciences is 19. 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 2022-05-01 to 2026-05-01.)
ArticleCitations
Epidemics and society — A multiscale vision from the small world to the globally interconnected world62
Numerics and analysis of Cahn–Hilliard critical points37
A duality and free boundary approach to adverse selection33
MirrorCBO: A consensus-based optimization method in the spirit of mirror descent33
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications29
Data-driven learning to enhance a kinetic model of distressed crowd dynamics26
Intrinsic unconditional stability in space–time isogeometric approximation of the acoustic wave equation in second-order formulation24
Erratum: Doubly nonlinear stochastic evolution equations23
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective23
On the stabilization of a virtual element method for an acoustic vibration problem23
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption23
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion22
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model22
AT1 fourth-order isogeometric phase-field modeling of brittle fracture22
Curvature in chemotaxis: A model for ant trail pattern formation21
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations20
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model19
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases19
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids19
Derivation of a von Kármán plate theory for thermoviscoelastic solids19
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