Mathematical Models & Methods In Applied Sciences

Mathematical Models & Methods In Applied Sciences

应用科学中的数学模型和方法

  • 1区 中科院分区
  • Q1 JCR分区

高引用文章

文章名称 引用次数
Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives 32
The fully nonconforming virtual element method for biharmonic problems 18
An H-1-conforming virtual element for Darcy and Brinkman equations 16
A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis 16
Virtual element methods on meshes with small edges or faces 14
A fully divergence-free finite element method for magnetohydrodynamic equations 13
Methods for computation of flow-driven string dynamics in a pump and residence time 12
Dynamics and pattern formation of a diffusive predator-prey model with predator-taxis 12
A multiscale view of nonlinear diffusion in biology: From cells to tissues 11
Space-time isogeometric flow analysis with built-in Reynolds-equation limit 11
Evolutionary dynamics of cooperation in a population with probabilistic corrupt enforcers and violators 11
Error estimates for projection-based dynamic augmented Lagrangian boundary condition enforcement, with application to fluid-structure interaction 10
Human behavior and lognormal distribution. A kinetic description 10
Global solutions to the coupled chemotaxis-fluids system in a 3D unbounded domain with boundary 10
Global boundedness of solutions to a chemotaxis-haptotaxis model with tissue remodeling 9
Immersogeometric analysis of compressible flows with application to aerodynamic simulation of rotorcraft 9
Large time behavior in a forager-exploiter model with different taxis strategies for two groups in search of food 9
A stabilized ALE method for computational fluid-structure interaction analysis of passive morphing in turbomachinery 8
Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing 8
An analytical framework for consensus-based global optimization method 8
Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions 8
A node-numbering-invariant directional length scale for simplex elements 8
Acoustic transmission problems: Wavenumber-explicit bounds and resonance-free regions 8
Mathematical modeling, analysis and numerical approximation of second-order elliptic problems with inclusions 7
A virtual element method for the transmission eigenvalue problem 7
Call center service times are lognormal: A Fokker-Planck description 7
Stabilization in a higher-dimensional attraction-repulsion chemotaxis system if repulsion dominates over attraction 7
Robust approximation error estimates and multigrid solvers for isogeometric multi-patch discretizations 7
Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions 7
A hybrid three-scale model of tumor growth 7
Computational analysis methods for complex unsteady flow problems 7
Parabolic-elliptic chemotaxis model with space-time-dependent logistic sources on R-N. I. Persistence and asymptotic spreading 6
Superconvergent gradient recovery for virtual element methods 6
Diffuse-interface two-phase flow models with different densities: A new quasi-incompressible form and a linear energy-stable method 6
Towards a multiscale vision of active particles 6
Challenges in active particles methods: Theory and applications 6
Free to move or trapped in your group: Mathematical modeling of information overload and coordination in crowded populations 5
Crime modeling with truncated Levy flights for residential burglary models 5
Convergences of the squareroot approximation scheme to the Fokker-Planck operator 5
Space-time fractional diffusion in cell movement models with delay 5
Modeling and simulation of bridge-section buffeting response in turbulent flow 5
Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen 4
Sharp error estimates for spline approximation: Explicit constants, n-widths, and eigenfunction convergence 4
Cohesive fracture with irreversibility: Quasistatic evolution for a model subject to fatigue 4
On the approximation of a virtual coarse space for domain decomposition methods in two dimensions 4
A posteriori error estimators for hierarchical B-spline discretizations 4
Non-cooperative Fisher-KPP systems: Asymptotic behavior of traveling waves 4
Optimal actuator design based on shape calculus 4
Analytical validation of the Young-Dupre law for epitaxially-strained thin films 4
On long-time asymptotics for viscous hydrodynamic models of collective behavior with damping and nonlocal interactions 4