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 2021-04-01 to 2025-04-01.)
ArticleCitations
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis88
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness70
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer–Meinhardt system59
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems39
Alternative SIAR models for infectious diseases and applications in the study of non-compliance38
Data-driven learning to enhance a kinetic model of distressed crowd dynamics31
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event29
Conservation Laws with Discontinuous Gradient-Dependent Flux:the Stable Case29
Simulating air blast on concrete structures using the volumetric penalty coupling of isogeometric analysis and peridynamics29
Effects of degeneracies in taxis-driven evolution27
Entropy dissipation and propagation of chaos for the uniform reshuffling model25
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production24
Well-posedness of the 3D Peskin problem23
L1-Theory for Hele-Shaw flow with linear drift23
Fluid–structure interaction modeling with nonmatching interface discretizations for compressible flow problems: Computational framework and validation study21
A kinetic description of the body size distribution of species21
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains21
Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries20
Stability for the training of deep neural networks and other classifiers19
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