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 2022-08-01 to 2026-08-01.)

Article	Citations
A duality and free boundary approach to adverse selection	64
MirrorCBO: A consensus-based optimization method in the spirit of mirror descent	40
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	40
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	39
Intrinsic unconditional stability in space–time isogeometric approximation of the acoustic wave equation in second-order formulation	35
Numerics and analysis of Cahn–Hilliard critical points	27
Shape optimization of metastable states	26
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	26
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	26
Erratum: Doubly nonlinear stochastic evolution equations	25
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption	24
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	23
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model	23
A Certified Goal-Oriented A Posteriori Defeaturing Error Estimator for Elliptic PDEs	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	20
Energy-dissipation balance for a dynamic viscoelastic problem with memory in domains with growing cracks	20
Curvature in chemotaxis: A model for ant trail pattern formation	19
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	18
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	18
Derivation of a von Kármán plate theory for thermoviscoelastic solids	17
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	16
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	15
A stabilized hybridized Nitsche method for sign-changing elliptic PDEs	15
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials	15

Author index Volume 35	15
Pressure-robust finite element discretizations of the nonlinear Stokes equations	15
Low-Regularity Integrator and Inviscid Limit Problem for the KdV–Burgers Equation	15
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	15
Korn–Maxwell–Sobolev inequalities for general incompatibilities	15
Local conservation laws and entropy inequality for kinetic models with delocalized collision integrals	14
Asymptotic stability of equilibrium states for cohesive fluids	14
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	13
Generalized Multiscale Enriched Galerkin Method for Flow in Heterogeneous Porous Media	13
Cross-diffusion models in complex frameworks from microscopic to macroscopic	12
Prediction-correction pedestrian flow by means of minimum flow problem	12
Embedding general conservation constraints in discretizations of hyperbolic systems on arbitrary meshes: A multi-dimensional framework	12
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	12
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	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	11
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation	11
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	11
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	11
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	11
Multilevel domain uncertainty quantification in computational electromagnetics	11
Improvements on uncertainty quantification with variational autoencoders	11
Combining physics-based and data-driven models: advancing the frontiers of research with scientific machine learning	11
Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect	11
A virtual element method on polyhedra with curved faces	11
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	10
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	10
On scattering for NLS: Rigidity properties and numerical simulations via the lens transform	10
Time fractional gradient flows: Theory and numerics	10
Entropy-based convergence rates of greedy algorithms	10
Effects of degeneracies in taxis-driven evolution	10
The particle paths of hyperbolic conservation laws	9
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	9
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	9
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	9
Identifying early tumor states in a Cahn–Hilliard-reaction–diffusion model	9
High-order compact splitting spectral methods for the rotating spin-1 Bose–Einstein condensates in a magnetic field	9
Random sampling-based gradient descent method for optimal control problems with variance reduction	9
Stability of large-amplitude viscous shock under periodic perturbation for 1-d viscoelasticity with non-convex constitutive relations	9
Multivariate Gini-type discrepancies	9
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	9
Consensus-based optimization via jump-diffusion stochastic differential equations	9
Finite element approximation of unique continuation of functions with finite dimensional trace	9
Singular patterns in Keller–Segel-type models	9
Macroscopic modeling of social crowds	9
Randomized matrix sketching for neural network training and gradient monitoring	9
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	9
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	8
Editorial: Active particle models and methods in science and society	8

Existence of multi-spikes in the Keller–Segel model with logistic growth	8
The synergy between two threats: Disinformation and COVID-19	8
Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	8
An effective model for boundary vortices in thin-film micromagnetics	8
Well-posedness of a nonlinear acoustics-structure interaction model	8
A finite element framework for simulating residential burglary in realistic urban geometries	8
Conservation laws with discontinuous gradient-dependent flux: The stable case	8
From Herbert A. Simon’s legacy to the evolutionary artificial world with heterogeneous collective behaviors	7
Multiscale kinetic structures for the collective dynamics of living systems	7
Derivation and analysis of a nonlocal Hele–Shaw–Cahn–Hilliard system for flow in thin heterogeneous layers	7
Reduced energies for thin ferromagnetic films with perpendicular anisotropy	7
A nonlocal equation describing tumor growth	7
A nonlinear bending theory for nematic LCE plates	7
Stochastic Stackelberg differential games modeling crowd-authority interaction dynamics	7
Isogeometric discretization methods in computational fluid mechanics	7
Local well-posedness for the compressible Navier–Stokes–BGK model in Sobolev spaces with exponential weight	7
Consensus formation in first-order graphon models with time-varying topologies	7
Global weak solutions to a Navier–Stokes–Cahn–Hilliard system with chemotaxis and mass transport: Cross diffusion versus logistic degradation	7
New trends in mathematics for scientific machine learning	7