Applied Mathematics Letters

Papers
(The median citation count of Applied Mathematics Letters is 2. 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 2021-05-01 to 2025-05-01.)
ArticleCitations
Multiple sign-changing solutions for fractional Schrödinger equations involving critical or supercritical exponent159
Strong comparison principle for a p-Laplace equation involving singularity and its applications140
Numerical analysis of growth-mediated autochemotactic pattern formation in self-propelling bacteria128
Extending matrix–vector framework on multiple relaxation time lattice Boltzmann method98
An efficient augmented approach algorithm for incompressible Stokes problems on staggered Cartesian grids93
The sharp time decay rates for the incompressible Phan-Thien–Tanner system with magnetic field in 92
Two trigonometric function solutions of the mKdV equations90
Analytical solution for potential flow across two circular cylinders using the BIE in conjunction with degenerate kernels of bipolar coordinates84
The existence and nonlinear stability of stationary solutions to inflow problem for a reduced gravity two and a half layer model79
A stochastic predator–prey eco-epidemiological model with hunting cooperation73
Extensive generalized shift-splitting preconditioner for 3 × 3 block saddle point problems68
Propagation properties of bright solitons generated by the complex Ginzburg–Landau equation with high-order dispersion and nonlinear gradient terms63
Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator62
Restarted randomized surrounding methods for solving large linear equations58
Support set and unique ergodicity of stochastic KdV equation50
Global suppression and periodic change of the mosquito population in a sterile release model with delay50
Stability of periodic traveling fronts for a time–space periodic dengue transmission model50
An energy estimate and a stabilized Lagrange–Galerkin scheme for a multiphase flow model50
Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data49
An S-type inclusion set for C-eigenvalues of a piezoelectric-type tensor48
Nontrivial solutions for indefinite Schrödinger–Poisson systems and Kirchhoff equations48
Controllable rogue wave and mixed interaction solutions for the coupled Ablowitz–Ladik equations with branched dispersion47
An adaptive homotopy tracking algorithm for solving nonlinear parametric systems with applications in nonlinear ODEs47
Leighton–Wintner-type oscillation theorem for the discrete p46
Energy quadratization Runge–Kutta scheme for the conservative Allen–Cahn equation with a nonlocal Lagrange multiplier46
Editorial Board46
Editorial Board45
A conservative Allen–Cahn equation with a curvature-dependent Lagrange multiplier44
Stationary distribution of a chemostat model with distributed delay and stochastic perturbations42
A reproducing kernel method for nonlinear C-q-fractional IVPs40
The Liouville theorems for 3D stationary tropical climate model in local Morrey spaces40
Analysis of a higher order problem within the second gradient theory40
Maximum entropy principle approach to a non-isothermal Maxwell–Stefan diffusion model40
First order strong convergence of positivity preserving logarithmic Euler–Maruyama method for the stochastic SIS epidemic model40
The stationary distribution of a stochastic SIQS epidemic model with varying total population size39
Modified least squares estimators for Ornstein–Uhlenbeck processes from low-frequency observations38
The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation37
Positive solutions of parameter-dependent nonlocal differential equations with convolution coefficients37
Manifold expressions of all solutions of the Yang–Baxter-like matrix equation for rank-one matrices36
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order35
The unique solution of a class of the new generalized absolute value equation35
On a Camassa–Holm type equation describing the dynamics of viscous fluid conduits34
On the global stability of smooth solutions of the Navier–Stokes equations34
Asymptotic behavior of global solutions to a class of mixed pseudo-parabolic Kirchhoff equations33
Integrability and solutions for a fourth-order lattice Gel’fand–Dikii equation33
Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality33
Logarithmic type stability for the simultaneous identification of Robin coefficient and heat flux in an elliptic equation32
Novel minimum residual MHSS iteration method for solving complex symmetric linear systems32
An analytical Green’s function for Laplace operator in an infinite plane with two circular holes using degenerate kernels32
Decay estimate of the viscoelastic plate with type II heat conduction in the whole space32
Normalized solutions and bifurcation for fractional Schrödinger equation with linear potential30
The finite element method for modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem30
The discrete modified Korteweg–de Vries equation under nonzero boundary conditions29
Computation of scattering poles using boundary integrals29
A second order Hamiltonian neural model29
High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems28
An effective operator splitting scheme for two-dimensional conservative nonlocal Allen–Cahn equation28
The Schrödinger–Poisson system with p-Laplacian28
Exact linearization and exact solutions of a generalized Thomas equation with general variable coefficients28
A new inexact fixed point iteration method for solving tensor absolute value equation28
Editorial Board27
Multiple-high-order pole solutions for the NLS equation with quartic terms27
Editorial Board27
The slip flow of generalized Maxwell fluids with time-distributed characteristics in a rotating microchannel26
Global stability and Hopf bifurcation of networked respiratory disease model with delay25
Polynomial approximation of derivatives through a regression–interpolation method25
Note on stability of an abstract coupled hyperbolic-parabolic system: Singular case24
N-soliton asymptotic analysis on the Gerdjikov–Ivanov equation for th24
Energy equality of the weak solutions to Navier–Stokes equations in the multiplier spaces24
Boundedness and exponential stabilization for time–space fractional parabolic–elliptic Keller–Segel model in higher dimensions23
A revisit of the energy quadratization method with a relaxation technique23
A mathematical modeling approach to assess biological control of an orange tree disease22
A modified multivariate spectral gradient algorithm for solving absolute value equations22
Multiple solutions for critical Kirchhoff–Poisson systems in the Heisenberg group22
A novel (222
Collision-avoidance, aggregation and velocity-matching in a Cucker–Smale-type model22
Large time decay rates of the two-dimensional magneto-micropolar fluids with zero angular viscosity21
Large-time behavior of the energy to the isentropic compressible Navier–Stokes equations with vacuum21
Normalized ground states for a Hardy–Littlewood–Sobolev upper critical Schrödinger equation with double Choquard type nonlinear terms21
Applied higher-order elliptic problems with nonstandard growth structure21
Dynamics analysis for the Wadati–Konno–Ichikawa(II)-short pulse equation21
A note on sufficient conditions of asymptotic stability in distribution of stochastic differential equations with 21
A fast and efficient numerical algorithm for Swift–Hohenberg equation with a nonlocal nonlinearity21
Hamiltonian structure for a differential system from a modified Laguerre weight via the geometry of the modified third Painlevé equation21
Editorial Board20
Optimal decay of critical derivative for a two-dimensional chemotaxis-shallow water system20
Explicit exponential algorithms for two-dimensional charged-particle dynamics with non-homogeneous electromagnetic fields20
AAA rational approximation for time domain model order reduction20
Wasserstein convergence of invariant measures for fractional stochastic reaction–diffusion equations on unbounded domains20
On reconstruction of small sources from Cauchy data at a fixed frequency20
A note on generalized exponential stability of impulsive stochastic functional differential equations20
Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna20
Maximum bound principle preserving and mass conservative projection method for the conservative Allen–Cahn equation19
Ground states of a class of gradient systems of Choquard type with general nonlinearity19
Infinitely many smooth nodal solutions for Orlicz Robin problems19
A high-order accurate multidomain Legendre–Chebyshev spectral method for 2D Maxwell’s equations in inhomogeneous media with discontinuous waves19
Semi-rational vector rogon–soliton solutions of the five-component Manakov/NLS system with mixed backgrounds19
Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations19
Global weak solutions to the inhomogeneous incompressible Navier–Stokes–Vlasov–Boltzmann equations19
On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in 19
On the uniqueness of 3-D inhomogeneous viscous incompressible magnetohydrodynamic equations with bounded density19
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system19
A POD based reduced-order local RBF collocation approach for time-dependent nonlocal diffusion problems19
Persistence property and infinite propagation speed for the b-family 19
A short note on the Painlevé XXV–Ermakov equation18
On the stability of equilibrium preserving spectral methods for the homogeneous Boltzmann equation18
Editorial Board18
A Trudinger–Moser type inequality in a strip and applications18
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Editorial Board18
A weighted gradient model with total variation regularization for multi-focus image fusion18
Lower and upper bounds of the solution for the Lyapunov matrix differential equation and an application in input-output finite-time stability of linear systems17
Constrained mock-Chebyshev least squares quadrature17
SAV unconditional stable estimate of parallel decoupled stabilized finite element algorithm for the fully mixed Stokes–Darcy problems17
Theoretical analysis of time-reassigned synchrosqueezing wavelet transform17
Arbitrary initial energy blow up for fourth-order viscous damped wave equation with exponential-type growth nonlinearity17
Global smooth solutions for the Landau–Lifshitz–Bloch equation with helicity term17
Existence of solutions for p-Laplacian parabolic Kirchhoff equation17
Sign-changing solutions for Schrödinger–Poisson system with p-Laplacian in 16
Approximate rational solutions to the Thomas–Fermi equation based on dynamic consistency16
Stochastic stability and stationary probability density analysis for a nutrient–phytoplankton model with multiplicative and additive noises16
A class of iterative functional fractional differential equation on infinite interval16
Modeling the impact of directional movement on mosquito population suppress16
Infinitely many positive periodic solutions for second order functional differential equations16
Darboux transformations and exact solutions of nonlocal Kaup–Newell equations with variable coefficients16
Oscillation and asymptotic behavior of third-order nonlinear delay differential equations with positive and negative terms16
Symmetry reduction and exact solutions of the (3+1)-dimensional nKdV-nCBS equation16
An unstructured algorithm for the singular value decomposition of biquaternion matrices16
Meshless method of solving multi-term time-fractional integro-differential equation16
Nonlinear transmission exponent for boundedness of solutions to a chemotaxis system with indirect signal production15
New type of multiple lump and rogue wave solutions of the (2+1)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili equation15
The slightly compressible Brinkman-Forcheimer equations and its incompressible approximation15
Mixed solutions for an AB system in geophysical fluids or nonlinear optics15
Normalized solutions for L215
A new global existence result for the 3D magneto-hydrodynamics equations15
A kind of stricter Hyers–Ulam stability of second order linear differential equations of Carathéodory type15
Quasi-neutral limit of the Isothermal Naiver–Stokes–Poisson with boundary15
Averaging principle for fractional stochastic differential equations with 15
Mathematical model with unrestricted dispersion and polynomial nonlinearity15
Consistent, non-oscillatory RBF finite difference solutions to boundary layer problems for any degree on uniform grids15
Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems15
A note on the L1 discretization error for the Caputo derivative in Hölder spaces15
On viscoelastic fluid in a vertical porous media channel with Soret and Dufour effects14
Long-timeH1<14
Two-sided randomized algorithms for approximate K-term t-SVD14
The Schrödinger–Born–Infeld system: Attractive case14
Buoyancy and drag in Rayleigh–Taylor and Richtmyer–Meshkov linear, nonlinear and mixing dynamics14
A non-existence result for periodic solutions of the relativistic pendulum with friction14
Blow-up of solutions to the Keller–Segel model with tensorial flux in high dimensions14
Blow-up criteria for double-diffusive convection systems in sum spaces14
Effects of the Coriolis effect on solitary waves of the geophysical Green–Naghdi system14
Threshold dynamics of a degenerated diffusive incubation period host–pathogen model with saturation incidence rate14
Inverse scattering and soliton dynamics for the mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation14
A note on the global dynamics for a diffusive foot-and-mouth disease model14
A priori estimates and existence of solutions to a system of nonlinear elliptic equations14
The existence theory of solution in Sobolev space for fractional differential equations14
Extremals to new Gagliardo–Nirenberg inequality and ground states13
Error estimate of the fast L1 method for time-fractional subdiffusion equations13
On 3D generalized MHD equations with different dissipation exponents13
On permanence and extinction for a nonautonomous chemostat model with delays13
Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption13
On an elliptic chemotaxis system with flux limitation and subcritical signal production13
Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation13
Computational homology to unravel the complex scar structure after a myocardial infarction13
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Stabilization by multiplicative Itô noise for Chafee–Infante equation in perforated domains13
A novel integral inequality and its application to stability analysis of linear system with multiple time delays13
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Stability and spatiotemporal patterns of a memory-based diffusion equation with nonlocal interaction13
The solution manifolds of impulsive differential equations13
Sufficient and necessary conditions for ground state sign-changing solutions to the Schrödinger–Poisson system with cubic nonlinearity on bounded domains13
A note on a supercritical p-Laplacian equation with logarithmic pertur13
Global asymptotic stability in a non-autonomous delay mosquito population suppression model13
Structure preserving FEM for the perturbed wave equation of quantum mechanics13
On well-posedness of Navier–Stokes variational inequalities13
Supercloseness of the LDG method for a singularly perturbed convection–diffusion problem on Bakhvalov-type mesh13
Orbital stability of solitary wave solutions of a Hamiltonian PDE arising in magma dynamics13
Global stability for a heroin epidemic model in a critical case13
Stability of 2D inviscid MHD equations with only fractional magnetic diffusion in the horizontal direction12
Shifted-Legendre orthonormal method for delay heat conduction equation12
Analysis of an HIV latent infection model with cell-to-cell transmission and multiple drug classes12
Asymptotic stability of a stochastic Lotka–Volterra competition model with dispersion and Ornstein–Uhlenbeck process12
Bifurcation dynamics in a stochastic population model with Beverton–Holt growth12
Power-series solution of the L-fractional logistic equation12
A note on polynomial-free unisolvence of polyharmonic splines at random points12
Geometric programming for multilinear systems with nonsingular M12
A new blowup criterion for strong solutions of the three-dimensional isentropic compressible micropolar fluid12
Editorial Board12
A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative12
Unconditionally energy-stable mapped Gegenbauer spectral Galerkin method for diffusive–viscous wave equation in unbounded domains12
In plasma physics and fluid dynamics: Symbolic computation on a (2+1)-dimensional variable-coefficient Sawada-Kotera system12
Energy of steady periodic equatorial water waves in two-layer flows12
Exponential estimate with a time-varying factor for positive discrete-time systems with time-delays12
Topic-a cluster of relevant messages-propagation dynamics: A modeling study of the impact of user repeated forwarding behaviors12
Stationary distribution and extinction of a stochastic generalized SEI epidemic model with Ornstein–Uhlenbeck process12
Supercloseness analysis of the linear finite element method for a singularly perturbed convection–diffusion problem on Vulanović–Bakhvalov mesh12
The study of solution in Sobolev space for the nonlinear differential equations with nonsmooth source term12
Homoclinic solutions for perturbed discrete Schrödinger systems in infinite lattices: Sublinear and asymptotically linear cases11
An equivalent formulation of Sonine condition11
Global stability of a degenerate reaction–diffusion host-pathogen model in critical case11
Variable-step numerical schemes and energy dissipation laws for time fractional Cahn–Hilliard model11
A locking-free mixed enriched Galerkin method of arbitrary order for linear elasticity using the stress–displacement formulation11
Mittag-Leffler kernel-based oversampling collocation method for fractional initial value problems with contaminated data11
Error analysis of modified Runge–Kutta–Nyström methods for nonlinear second-order delay boundary value problems11
Stability for the 2D anisotropic surface quasi-geostrophic equation with horizontal dissipation11
How to choose the signature operator such that the periodic pseudo-Jacobi inverse eigenvalue problem is solvable?11
Spline-oriented inter/extrapolation-based multirate schemes of higher order11
Similarity transformations and exact solutions of the (3+1)-dimensional nonlinear Schrödinger equation with spatiotemporally varying coefficients11
A counterexample of a uniqueness result11
A new blowup criterion for a generalized Hall-MHD system concerning the deformation tensor11
Artificial boundary method for the fractional second-grade fluid flow on a semi-infinite plate with the effects of magnetic field and a power-law viscosity11
Spatially nonhomogeneous periodic patterns in a delayed predator–prey model with predator-taxis diffusion11
Editorial Board11
Groundstates for magnetic Choquard equations with critical exponential growth11
A note on the immersed finite element basis functions for elliptic interface problems11
The uniform l110
Nonexistence of positive solutions to a class of generalized quasilinear Schrödinger equations10
A diffuse interface box method for elliptic problems10
Extended KdV equations generated by squared eigenfunction symmetry10
Recovery based finite difference scheme on unstructured mesh10
QR decomposition of dual matrices and its application10
Lyapunov functions for some epidemic model with high risk and vaccinated class10
Parsimonious models of in-host viral dynamics and immune response10
Bilinear auto-Bäcklund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves10
Anisotropic Hdiv10
Subdivision scheme for discrete probability measure-valued data10
An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors10
Editorial Board10
Insights into unexpected relapse and recovery in HCV-infected patients by studying a stochastic within-host HCV model10
A second-order three-point difference scheme on a posteriori mesh for a singularly perturbed convection–diffusion problem10
Non-degeneracy and uniqueness of the radial solutions to a coupled k-10
Constructing relaxation systems for lattice Boltzmann methods10
The 10
The special solutions of 2-D steady isentropic irrotational relativistic Euler system10
Uniqueness of weak solutions to a Keller–Segel–Navier–Stokes system10
Inverse problem for the nonlinear long wave runup on a plane sloping beach10
A novel time-domain SCT-BEM for transient heat conduction analysis10
A moving finite element method for solving two-dimensional coupled Burgers’ equations at high Reynolds numbers10
Generalization of PINNs for elliptic interface problems10
Gradient recovery based finite element methods for the two-dimensional quad-curl problem9
Existence of a fully implicit solution with second-order time evolution for strong nonlinear diffusion equation9
Asymptotically linear magnetic fractional problems9
Multiple-relaxation-time lattice Boltzmann model for anisotropic liquid–solid phase change9
Unique inversion of orders and potential for multi-term time fractional wave equations9
Sensitivity analysis and stationary probability distributions of a stochastic two-prey one-predator model9
Sharp analysis of L19
Optimal convergence rate of the explicit Euler method for convection–diffusion equations9
Stability and asymptotic properties of the SEQIR epidemic model9
Iterative optimization method for determining optimal shape parameter in RBF-FD method9
A new error analysis of a linearized Euler Galerkin scheme for Schrödinger equation with cubic nonlinearity9
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