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

Article	Citations
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	120
MirrorCBO: A consensus-based optimization method in the spirit of mirror descent	73
A duality and free boundary approach to adverse selection	50
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	41
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	26
Intrinsic unconditional stability in space-time isogeometric approximation of the acoustic wave equation in second-order formulation	25
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
Erratum: Doubly nonlinear stochastic evolution equations	22
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	22
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption	22
AT1 fourth-order isogeometric phase-field modeling of brittle fracture	20
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model	20
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	19
Curvature in chemotaxis: A model for ant trail pattern formation	18
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	17
Derivation of a von Kármán plate theory for thermoviscoelastic solids	17
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	17
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation	17
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	16
Weak–strong uniqueness for energy-reaction-diffusion systems	15
Korn–Maxwell–Sobolev inequalities for general incompatibilities	15
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials	15
Pressure-robust finite element discretizations of the nonlinear Stokes equations	15
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	15

Author index Volume 35	15
A stabilized hybridized Nitsche method for sign-changing elliptic PDEs	15
Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source	14
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation	13
Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	13
Prediction-correction pedestrian flow by means of minimum flow problem	13
Local Conservation Laws and Entropy Inequality for Kinetic Models with Delocalized Collision Integral	13
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	13
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	13
Cross-diffusion models in complex frameworks from microscopic to macroscopic	12
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	12
Embedding General Conservation Constraints in Discretizations of Hyperbolic Systems on Arbitrary Meshes: A Multidimensional Framework	12
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics	12
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system	12
A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations	12
On the mathematical theory of behavioral swarms emerging collective dynamics	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
Multilevel domain uncertainty quantification in computational electromagnetics	11
Interpolation and stability estimates for edge and face virtual elements of general order	11
Beltrami’s completeness for ????p symmetric matrix fields	11
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	10
Entropy-based convergence rates of greedy algorithms	10
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	10
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	10
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	10
Time fractional gradient flows: Theory and numerics	10
A Virtual Element Method on polyhedra with curved faces	9
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	9
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	9
Identifying early tumor states in a Cahn–Hilliard-reaction–diffusion model	9
Effects of degeneracies in taxis-driven evolution	9
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	9
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	8
Finite element approximation of unique continuation of functions with finite dimensional trace	8
Singular patterns in Keller–Segel-type models	8
The synergy between two threats: Disinformation and COVID-19	8
The particle paths of hyperbolic conservation laws	8
Random sampling-based gradient descent method for optimal control problems with variance reduction	8
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	8
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	8
Consensus-based optimization via jump-diffusion stochastic differential equations	8
High-order compact splitting spectral methods for the rotating spin-1 Bose–Einstein condensates in a magnetic field	8
Macroscopic modeling of social crowds	8
Multivariate Gini-type discrepancies	8
Existence of multi-spikes in the Keller–Segel model with logistic growth	7
A nonlinear bending theory for nematic LCE plates	7
Conservation laws with discontinuous gradient-dependent flux: The stable case	7
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises	7
Editorial: Active particle models and methods in science and society	7

An effective model for boundary vortices in thin-film micromagnetics	7
From Herbert A. Simon’s legacy to the evolutionary artificial world with heterogeneous collective behaviors	7
Convergence of a particle method for a regularized spatially homogeneous Landau equation	7
Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities	7
Well-posedness of a nonlinear acoustics-structure interaction model	7
A nonlocal equation describing tumor growth	7
Consensus formation in first-order graphon models with time-varying topologies	7
Local well-posedness for the compressible Navier–Stokes–BGK model in Sobolev spaces with exponential weight	7
Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	7