Mathematical Methods in the Applied Sciences

Papers
(The H4-Index of Mathematical Methods in the Applied Sciences is 32. 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 2021-06-01 to 2025-06-01.)
ArticleCitations
Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis192
130
Two‐level multiscale enrichment finite volume method based on the Newton iteration for the stationary incompressible magnetohydrodynamics flow121
Subordinators and Generalized Heat Kernels: Random Time Change and Long Time Dynamics84
Issue Information74
Blow‐up for a nonlocal semilinear pseudo‐parabolic p‐Laplacian type equation63
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling57
Existence and asymptotic behavior of normalized solutions for fourth‐order equations of Kirchhoff type57
Sinc method in spectrum completion and inverse Sturm–Liouville problems54
Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems51
Global existence and blowup of solutions for nonlinear Love equation48
Multiplicity and concentration of nontrivial solutions for Kirchhoff–Schrödinger–Poisson system with steep potential well47
Zero‐Hopf bifurcation of a cubic jerk system via the third order averaging method47
Riemann‐Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum46
A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity44
43
New Results for Periodic Discrete Nonlinear SchröDinger Equations41
Analytical Solutions to the Cylindrically Symmetric Compressible Euler–Euler System Coupled Through a Drag Force41
Doubly Exponential Growth and Decay for a Semilinear Heat Equation With Logarithmic Nonlinearity40
Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays37
Analysis and Simulation of Fractional Oscillatory Chemical Reaction Equations37
On Extended Lifespan for 1D Damped Wave Equation37
Asymptotic Stability of Rarefaction Wave to the 1D Compressible Navier–Stokes–Allen–Cahn System With Density and Phase‐Field Variable–Dependent Viscosity in the Half Space36
Effect of unfavorable regions on the spreading solution in a diffusion equation36
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions35
Semigroup theory and analysis of solutions for a higher order non‐Lipschitz problem with advection in ℝN$$ {\mathrm{\mathbb{R}}}^N $$34
Symmetric waves are traveling waves of some shallow water scalar equations34
A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid34
Linear differential operators with distribution coefficients of various singularity orders34
Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves34
Stability analysis and optimal control of an epidemic model with multidimensional information of media coverage on networks33
On constrained Kaczmarz algorithm with momentum for image reconstruction33
On the discrete Safronov–Dubovskiǐ coagulation equations: Well‐posedness, mass conservation, and asymptotic behavior32
A linear quadratic tracking problem for impulsive controlled stochastic systems: The infinite horizon time case32
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