Mathematical Methods in the Applied Sciences

Papers
(The H4-Index of Mathematical Methods in the Applied Sciences is 33. 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 2021-09-01 to 2025-09-01.)
ArticleCitations
Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis199
131
Subordinators and Generalized Heat Kernels: Random Time Change and Long Time Dynamics124
Issue Information87
Blow‐up for a nonlocal semilinear pseudo‐parabolic p‐Laplacian type equation85
Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems65
Zero‐Hopf bifurcation of a cubic jerk system via the third order averaging method60
Multiplicity and concentration of nontrivial solutions for Kirchhoff–Schrödinger–Poisson system with steep potential well58
A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity53
Riemann‐Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum53
52
Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system50
New Results for Periodic Discrete Nonlinear SchröDinger Equations48
Doubly Exponential Growth and Decay for a Semilinear Heat Equation With Logarithmic Nonlinearity46
Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays45
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling43
Two‐level multiscale enrichment finite volume method based on the Newton iteration for the stationary incompressible magnetohydrodynamics flow41
Energy conservation for weak solutions to the pressureless Euler–Navier–Stokes system in three‐dimensional space41
Analytical Solutions to the Cylindrically Symmetric Compressible Euler–Euler System Coupled Through a Drag Force41
Semigroup theory and analysis of solutions for a higher order non‐Lipschitz problem with advection in RN41
New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations39
A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid37
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions37
Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves37
Symmetric waves are traveling waves of some shallow water scalar equations37
An iterative method for the thermally coupled incompressible magnetohydrodynamics equations at high parameter36
A linear quadratic tracking problem for impulsive controlled stochastic systems: The infinite horizon time case36
On the discrete Safronov–Dubovskiǐ coagulation equations: Well‐posedness, mass conservation, and asymptotic behavior36
Modified marker and cell schemes for Stokes equations with Dirichlet boundary condition35
Nonlinear stability of forced traveling waves for a Lotka–Volterra cooperative model under climate change35
Necessary and sufficient conditions for mean‐square bounded consensus of multiagent systems with additive noise35
Three‐dimensional numerical simulation of a laminar fluid flow in an enhanced microchannel with circular protrusions34
Drag on a semipermeable spherical particle covered by a couple stress fluid34
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