Mathematical Models & Methods in Applied Sciences

Papers
(The H4-Index of Mathematical Models & Methods in Applied Sciences is 17. 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 2021-03-01 to 2025-03-01.)
ArticleCitations
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis83
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness60
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer–Meinhardt system56
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems34
Alternative SIAR models for infectious diseases and applications in the study of non-compliance32
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event27
Effects of degeneracies in taxis-driven evolution27
Simulating air blast on concrete structures using the volumetric penalty coupling of isogeometric analysis and peridynamics26
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production25
A multilayer network model of the coevolution of the spread of a disease and competing opinions25
L1-Theory for Hele-Shaw flow with linear drift23
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination22
Well-posedness of the 3D Peskin problem22
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains18
Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries18
Fluid–structure interaction modeling with nonmatching interface discretizations for compressible flow problems: Computational framework and validation study18
A kinetic description of the body size distribution of species18
Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model17
Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks17
Time fractional gradient flows: Theory and numerics17
Stability for the training of deep neural networks and other classifiers17
A particle method for non-local advection–selection–mutation equations17
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