OOIR: Observatory of International Research

Papers

(The TQCC of Mathematical Models & Methods in Applied Sciences is 7. 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.)

Article	Citations
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	62
Numerics and analysis of Cahn–Hilliard critical points	37
MirrorCBO: A consensus-based optimization method in the spirit of mirror descent	33
A duality and free boundary approach to adverse selection	33
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	29
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	26
Intrinsic unconditional stability in space–time isogeometric approximation of the acoustic wave equation in second-order formulation	24
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption	23
Erratum: Doubly nonlinear stochastic evolution equations	23
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	23
On the stabilization of a virtual element method for an acoustic vibration problem	23
AT1 fourth-order isogeometric phase-field modeling of brittle fracture	22
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	22
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model	22
Curvature in chemotaxis: A model for ant trail pattern formation	21
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	20
Derivation of a von Kármán plate theory for thermoviscoelastic solids	19
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	19
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	19
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	19
Energy-Dissipation Balance for a Dynamic Viscoelastic Problem with Memory in Domains with Growing Cracks	17
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	17
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials	17
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	15
A stabilized hybridized Nitsche method for sign-changing elliptic PDEs	15

Author index Volume 35	15
Pressure-robust finite element discretizations of the nonlinear Stokes equations	15
Korn–Maxwell–Sobolev inequalities for general incompatibilities	15
Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	14
Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source	14
Local conservation laws and entropy inequality for kinetic models with delocalized collision integrals	14
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	13
Prediction-correction pedestrian flow by means of minimum flow problem	13
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation	13
Embedding general conservation constraints in discretizations of hyperbolic systems on arbitrary meshes: A multi-dimensional framework	13
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	12
A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations	12
Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect	12
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system	12
On the mathematical theory of behavioral swarms emerging collective dynamics	12
Cross-diffusion models in complex frameworks from microscopic to macroscopic	12
Combining physics-based and data-driven models: advancing the frontiers of research with scientific machine learning	12
Interpolation and stability estimates for edge and face virtual elements of general order	11
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	11
Beltrami’s completeness for ????p symmetric matrix fields	11
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	11
Multilevel domain uncertainty quantification in computational electromagnetics	11
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	11
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	10
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	10
On scattering for NLS: rigidity properties and numerical simulations via the lens transform	10
Effects of degeneracies in taxis-driven evolution	10
Entropy-based convergence rates of greedy algorithms	10
Time fractional gradient flows: Theory and numerics	10
Improvements on uncertainty quantification with variational autoencoders	10
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	10
A virtual element method on polyhedra with curved faces	10
Consensus-based optimization via jump-diffusion stochastic differential equations	9
Identifying early tumor states in a Cahn–Hilliard-reaction–diffusion model	9
The particle paths of hyperbolic conservation laws	9
Well-posedness of a nonlinear acoustics-structure interaction model	8
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	8
Finite element approximation of unique continuation of functions with finite dimensional trace	8
Multivariate Gini-type discrepancies	8
Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	8
A finite element framework for simulating residential burglary in realistic urban geometries	8
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	8
High-order compact splitting spectral methods for the rotating spin-1 Bose–Einstein condensates in a magnetic field	8
Singular patterns in Keller–Segel-type models	8
The synergy between two threats: Disinformation and COVID-19	8
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	8
Randomized matrix sketching for neural network training and gradient monitoring	8
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	8
Random sampling-based gradient descent method for optimal control problems with variance reduction	8
Macroscopic modeling of social crowds	8

Existence of multi-spikes in the Keller–Segel model with logistic growth	8
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises	7
A nonlocal equation describing tumor growth	7
Consensus formation in first-order graphon models with time-varying topologies	7
A nonlinear bending theory for nematic LCE plates	7
Local well-posedness for the compressible Navier–Stokes–BGK model in Sobolev spaces with exponential weight	7
An effective model for boundary vortices in thin-film micromagnetics	7
Reduced energies for thin ferromagnetic films with perpendicular anisotropy	7
Isogeometric discretization methods in computational fluid mechanics	7
Editorial: Active particle models and methods in science and society	7
Conservation laws with discontinuous gradient-dependent flux: The stable case	7
From Herbert A. Simon’s legacy to the evolutionary artificial world with heterogeneous collective behaviors	7
Derivation and analysis of a nonlocal Hele–Shaw–Cahn–Hilliard system for flow in thin heterogeneous layers	7