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 2021-09-01 to 2025-09-01.)
ArticleCitations
Multiple sign-changing solutions for fractional Schrödinger equations involving critical or supercritical exponent160
Strong comparison principle for a p-Laplace equation involving singularity and its applications140
Numerical analysis of growth-mediated autochemotactic pattern formation in self-propelling bacteria132
An efficient augmented approach algorithm for incompressible Stokes problems on staggered Cartesian grids128
Analytical solution for potential flow across two circular cylinders using the BIE in conjunction with degenerate kernels of bipolar coordinates96
The existence and nonlinear stability of stationary solutions to inflow problem for a reduced gravity two and a half layer model92
Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator91
Global suppression and periodic change of the mosquito population in a sterile release model with delay88
Stability of periodic traveling fronts for a time–space periodic dengue transmission model82
Support set and unique ergodicity of stochastic KdV equation76
Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data74
An S-type inclusion set for C-eigenvalues of a piezoelectric-type tensor71
An adaptive homotopy tracking algorithm for solving nonlinear parametric systems with applications in nonlinear ODEs69
Manifold expressions of all solutions of the Yang–Baxter-like matrix equation for rank-one matrices59
Editorial Board54
Editorial Board54
Propagation properties of bright solitons generated by the complex Ginzburg–Landau equation with high-order dispersion and nonlinear gradient terms51
Maximum entropy principle approach to a non-isothermal Maxwell–Stefan diffusion model50
The Liouville theorems for 3D stationary tropical climate model in local Morrey spaces50
Leighton–Wintner-type oscillation theorem for the discrete p50
Analysis of a higher order problem within the second gradient theory50
The sharp time decay rates for the incompressible Phan-Thien–Tanner system with magnetic field in 50
A conservative Allen–Cahn equation with a curvature-dependent Lagrange multiplier50
A stochastic predator–prey eco-epidemiological model with hunting cooperation48
Extending matrix–vector framework on multiple relaxation time lattice Boltzmann method48
Stationary distribution of a chemostat model with distributed delay and stochastic perturbations47
Positive solutions of parameter-dependent nonlocal differential equations with convolution coefficients47
A reproducing kernel method for nonlinear C-q-fractional IVPs45
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order45
Nontrivial solutions for indefinite Schrödinger–Poisson systems and Kirchhoff equations44
Restarted randomized surrounding methods for solving large linear equations43
Extensive generalized shift-splitting preconditioner for 3 × 3 block saddle point problems43
Two trigonometric function solutions of the mKdV equations40
Energy quadratization Runge–Kutta scheme for the conservative Allen–Cahn equation with a nonlocal Lagrange multiplier39
An energy estimate and a stabilized Lagrange–Galerkin scheme for a multiphase flow model39
Controllable rogue wave and mixed interaction solutions for the coupled Ablowitz–Ladik equations with branched dispersion38
Modified least squares estimators for Ornstein–Uhlenbeck processes from low-frequency observations38
First order strong convergence of positivity preserving logarithmic Euler–Maruyama method for the stochastic SIS epidemic model37
Remarks on Navier–Stokes regularity criteria in Vishik-type spaces36
Traveling wave fronts for a discrete Nicholson’s blowflies model with two delays36
On a Camassa–Holm type equation describing the dynamics of viscous fluid conduits36
The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation36
Integrability and solutions for a fourth-order lattice Gel’fand–Dikii equation35
An analytical Green’s function for Laplace operator in an infinite plane with two circular holes using degenerate kernels34
Logarithmic type stability for the simultaneous identification of Robin coefficient and heat flux in an elliptic equation34
Decay estimate of the viscoelastic plate with type II heat conduction in the whole space33
Quasi-exponential stability of non-autonomous integro-differential systems with infinite delay32
Exact linearization and exact solutions of a generalized Thomas equation with general variable coefficients32
The discrete modified Korteweg–de Vries equation under nonzero boundary conditions32
On a two-component Camassa–Holm equation31
A new inexact fixed point iteration method for solving tensor absolute value equation31
Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality31
The Schrödinger–Poisson system with p-Laplacian30
Computation of scattering poles using boundary integrals30
Integrable matrix nonlinear Schrödinger equations with reduced Lax pairs of AKNS type30
Multiple-high-order pole solutions for the NLS equation with quartic terms29
Editorial Board29
Polynomial approximation of derivatives through a regression–interpolation method28
Novel minimum residual MHSS iteration method for solving complex symmetric linear systems28
Editorial Board28
Global stability and Hopf bifurcation of networked respiratory disease model with delay28
An effective operator splitting scheme for two-dimensional conservative nonlocal Allen–Cahn equation28
Normalized solutions and bifurcation for fractional Schrödinger equation with linear potential27
The finite element method for modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem27
The slip flow of generalized Maxwell fluids with time-distributed characteristics in a rotating microchannel26
High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems25
A second order Hamiltonian neural model25
About stability of a mathematical model of Glassy-winged Sharpshooter population under Poisson’s jumps24
Collision-avoidance, aggregation and velocity-matching in a Cucker–Smale-type model24
Boundedness and exponential stabilization for time–space fractional parabolic–elliptic Keller–Segel model in higher dimensions24
A weighted gradient model with total variation regularization for multi-focus image fusion24
Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna23
A short note on the Painlevé XXV–Ermakov equation23
Constrained mock-Chebyshev least squares quadrature23
Multiple solutions for critical Kirchhoff–Poisson systems in the Heisenberg group23
On the stability of equilibrium preserving spectral methods for the homogeneous Boltzmann equation23
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system22
Hamiltonian structure for a differential system from a modified Laguerre weight via the geometry of the modified third Painlevé equation22
Normalized ground states for a Hardy–Littlewood–Sobolev upper critical Schrödinger equation with double Choquard type nonlinear terms22
Dynamics analysis for the Wadati–Konno–Ichikawa(II)-short pulse equation22
Large time decay rates of the two-dimensional magneto-micropolar fluids with zero angular viscosity22
Applied higher-order elliptic problems with nonstandard growth structure22
On the uniqueness of 3-D inhomogeneous viscous incompressible magnetohydrodynamic equations with bounded density21
Editorial Board21
Semi-rational vector rogon–soliton solutions of the five-component Manakov/NLS system with mixed backgrounds21
Wasserstein convergence of invariant measures for fractional stochastic reaction–diffusion equations on unbounded domains21
A high-order accurate multidomain Legendre–Chebyshev spectral method for 2D Maxwell’s equations in inhomogeneous media with discontinuous waves21
On reconstruction of small sources from Cauchy data at a fixed frequency21
Explicit exponential algorithms for two-dimensional charged-particle dynamics with non-homogeneous electromagnetic fields21
A POD based reduced-order local RBF collocation approach for time-dependent nonlocal diffusion problems20
Optimal decay of critical derivative for a two-dimensional chemotaxis-shallow water system20
Editorial Board20
Maximum bound principle preserving and mass conservative projection method for the conservative Allen–Cahn equation20
A Trudinger–Moser type inequality in a strip and applications20
Infinitely many smooth nodal solutions for Orlicz Robin problems20
Global weak solutions to the inhomogeneous incompressible Navier–Stokes–Vlasov–Boltzmann equations20
Persistence property and infinite propagation speed for the b-family 20
Arbitrary initial energy blow up for fourth-order viscous damped wave equation with exponential-type growth nonlinearity19
AAA rational approximation for time domain model order reduction19
Large-time behavior of the energy to the isentropic compressible Navier–Stokes equations with vacuum19
Note on stability of an abstract coupled hyperbolic-parabolic system: Singular case19
N-soliton asymptotic analysis on the Gerdjikov–Ivanov equation for th19
Ground states of a class of gradient systems of Choquard type with general nonlinearity19
On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in 19
A note on generalized exponential stability of impulsive stochastic functional differential equations19
A note on sufficient conditions of asymptotic stability in distribution of stochastic differential equations with 19
A modified multivariate spectral gradient algorithm for solving absolute value equations19
A revisit of the energy quadratization method with a relaxation technique19
Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations18
Energy equality of the weak solutions to Navier–Stokes equations in the multiplier spaces18
SAV unconditional stable estimate of parallel decoupled stabilized finite element algorithm for the fully mixed Stokes–Darcy problems18
Editorial Board18
Infinitely many positive periodic solutions for second order functional differential equations18
A novel (218
The slightly compressible Brinkman-Forcheimer equations and its incompressible approximation17
A new global existence result for the 3D magneto-hydrodynamics equations17
Symmetry reduction and exact solutions of the (3+1)-dimensional nKdV-nCBS equation17
Existence of solutions for p-Laplacian parabolic Kirchhoff equation17
An unstructured algorithm for the singular value decomposition of biquaternion matrices17
A class of iterative functional fractional differential equation on infinite interval17
Mixed solutions for an AB system in geophysical fluids or nonlinear optics17
Long-timeH1<17
Inverse scattering and soliton dynamics for the mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation17
Stochastic stability and stationary probability density analysis for a nutrient–phytoplankton model with multiplicative and additive noises17
Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems17
Normalized solutions for L217
Quasi-neutral limit of the Isothermal Naiver–Stokes–Poisson with boundary17
A note on the global dynamics for a diffusive foot-and-mouth disease model16
Meshless method of solving multi-term time-fractional integro-differential equation16
Oscillation and asymptotic behavior of third-order nonlinear delay differential equations with positive and negative terms16
Threshold dynamics of a degenerated diffusive incubation period host–pathogen model with saturation incidence rate16
Sign-changing solutions for Schrödinger–Poisson system with p-Laplacian in 16
Nonlinear transmission exponent for boundedness of solutions to a chemotaxis system with indirect signal production16
Modeling the impact of directional movement on mosquito population suppress16
Averaging principle for fractional stochastic differential equations with 16
On viscoelastic fluid in a vertical porous media channel with Soret and Dufour effects16
A note on the L1 discretization error for the Caputo derivative in Hölder spaces16
Global smooth solutions for the Landau–Lifshitz–Bloch equation with helicity term16
Theoretical analysis of time-reassigned synchrosqueezing wavelet transform16
Effects of the Coriolis effect on solitary waves of the geophysical Green–Naghdi system15
On well-posedness of Navier–Stokes variational inequalities15
Mathematical model with unrestricted dispersion and polynomial nonlinearity15
New type of multiple lump and rogue wave solutions of the (2+1)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili equation15
A priori estimates and existence of solutions to a system of nonlinear elliptic equations15
Buoyancy and drag in Rayleigh–Taylor and Richtmyer–Meshkov linear, nonlinear and mixing dynamics15
Darboux transformations and exact solutions of nonlocal Kaup–Newell equations with variable coefficients15
The existence theory of solution in Sobolev space for fractional differential equations15
Orbital stability of solitary wave solutions of a Hamiltonian PDE arising in magma dynamics15
Lower and upper bounds of the solution for the Lyapunov matrix differential equation and an application in input-output finite-time stability of linear systems15
The Schrödinger–Born–Infeld system: Attractive case15
Structure preserving FEM for the perturbed wave equation of quantum mechanics14
Extremals to new Gagliardo–Nirenberg inequality and ground states14
Editorial Board14
Analysis of an HIV latent infection model with cell-to-cell transmission and multiple drug classes14
Error estimate of the fast L1 method for time-fractional subdiffusion equations14
Energy of steady periodic equatorial water waves in two-layer flows14
Stabilization by multiplicative Itô noise for Chafee–Infante equation in perforated domains14
Computational homology to unravel the complex scar structure after a myocardial infarction14
A new blowup criterion for strong solutions of the three-dimensional isentropic compressible micropolar fluid14
Global asymptotic stability in a non-autonomous delay mosquito population suppression model14
Topic-a cluster of relevant messages-propagation dynamics: A modeling study of the impact of user repeated forwarding behaviors14
Sufficient and necessary conditions for ground state sign-changing solutions to the Schrödinger–Poisson system with cubic nonlinearity on bounded domains14
On 3D generalized MHD equations with different dissipation exponents14
Stability of 2D inviscid MHD equations with only fractional magnetic diffusion in the horizontal direction14
Unconditionally energy-stable mapped Gegenbauer spectral Galerkin method for diffusive–viscous wave equation in unbounded domains14
On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator14
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Geometric programming for multilinear systems with nonsingular M13
Stationary distribution and extinction of a stochastic generalized SEI epidemic model with Ornstein–Uhlenbeck process13
Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption13
In plasma physics and fluid dynamics: Symbolic computation on a (2+1)-dimensional variable-coefficient Sawada-Kotera system13
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Shifted-Legendre orthonormal method for delay heat conduction equation13
Blow-up of solutions to the Keller–Segel model with tensorial flux in high dimensions13
Power-series solution of the L-fractional logistic equation13
Supercloseness analysis of the linear finite element method for a singularly perturbed convection–diffusion problem on Vulanović–Bakhvalov mesh13
Two-sided randomized algorithms for approximate K-term t-SVD13
A novel integral inequality and its application to stability analysis of linear system with multiple time delays13
Stability and spatiotemporal patterns of a memory-based diffusion equation with nonlocal interaction13
Asymptotic stability of a stochastic Lotka–Volterra competition model with dispersion and Ornstein–Uhlenbeck process13
On permanence and extinction for a nonautonomous chemostat model with delays13
A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative13
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 viscosity12
Blow-up criteria for double-diffusive convection systems in sum spaces12
Fourier beyond dispersion: Wavenumber explicit and precise accuracy of FDMs for the Helmholtz equation12
A non-existence result for periodic solutions of the relativistic pendulum with friction12
The efficient spectral Galerkin method to the phase-field models in polar geometry12
Stability for the 2D anisotropic surface quasi-geostrophic equation with horizontal dissipation12
Error analysis of modified Runge–Kutta–Nyström methods for nonlinear second-order delay boundary value problems12
Bifurcation dynamics in a stochastic population model with Beverton–Holt growth12
Supercloseness of the LDG method for a singularly perturbed convection–diffusion problem on Bakhvalov-type mesh12
Global stability for a heroin epidemic model in a critical case12
A locking-free mixed enriched Galerkin method of arbitrary order for linear elasticity using the stress–displacement formulation12
An equivalent formulation of Sonine condition12
A new blowup criterion for a generalized Hall-MHD system concerning the deformation tensor12
A note on polynomial-free unisolvence of polyharmonic splines at random points12
On an elliptic chemotaxis system with flux limitation and subcritical signal production12
Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation12
A note on a supercritical p-Laplacian equation with logarithmic pertur12
Global stability of a degenerate reaction–diffusion host-pathogen model in critical case12
Exponential estimate with a time-varying factor for positive discrete-time systems with time-delays12
Similarity transformations and exact solutions of the (3+1)-dimensional nonlinear Schrödinger equation with spatiotemporally varying coefficients11
Groundstates for magnetic Choquard equations with critical exponential growth11
Mittag-Leffler kernel-based oversampling collocation method for fractional initial value problems with contaminated data11
Variable-step numerical schemes and energy dissipation laws for time fractional Cahn–Hilliard model11
A novel time-domain SCT-BEM for transient heat conduction analysis11
A second-order three-point difference scheme on a posteriori mesh for a singularly perturbed convection–diffusion problem11
Insights into unexpected relapse and recovery in HCV-infected patients by studying a stochastic within-host HCV model11
Lyapunov functions for some epidemic model with high risk and vaccinated class11
Global solutions for the system of a viscous two-fluid model11
Bilinear auto-Bäcklund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves11
A counterexample of a uniqueness result11
The uniform l111
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
Generalization of PINNs for elliptic interface problems11
Parsimonious models of in-host viral dynamics and immune response11
Non-degeneracy and uniqueness of the radial solutions to a coupled k-11
Nonexistence of positive solutions to a class of generalized quasilinear Schrödinger equations10
Analytical 3D fundamental solutions for dynamic saturated poroelasticity10
QR decomposition of dual matrices and its application10
Mass and energy conservative high-order diagonally implicit Runge–Kutta schemes for nonlinear Schrödinger equation10
G210
Asymptotically linear magnetic fractional problems10
Well-posedness of the generalized Navier–Stokes equations with damping10
Global dynamics of a two-stage social insect model incorporating nonlinear egg cannibalism10
Multiple-relaxation-time lattice Boltzmann model for anisotropic liquid–solid phase change10
Anisotropic Hdiv10
Spatially nonhomogeneous periodic patterns in a delayed predator–prey model with predator-taxis diffusion10
Novel exponential-weighted integral inequality for exponential stability analysis of time-varying delay systems10
A moving finite element method for solving two-dimensional coupled Burgers’ equations at high Reynolds numbers10
Editorial Board10
Multiplicity of solutions for asymptotically quadratic Dirac–Poisson system with non-periodic potential10
Inverse problem for the nonlinear long wave runup on a plane sloping beach10
A note on a critical bi-harmonic equation with logarithmic perturbation10
Optimal convergence rate of the explicit Euler method for convection–diffusion equations10
Eigenvalue problems with unbalanced growth10
A new error analysis of a linearized Euler Galerkin scheme for Schrödinger equation with cubic nonlinearity10
On the existence of locally-defined projective interpolations10
Recovery based finite difference scheme on unstructured mesh10
Rotating, sliding or both?10
Constructing relaxation systems for lattice Boltzmann methods10
Backward bifurcation arising from decline of immunity against emerging infectious diseases10
Uniqueness of single-peaked solutions to singularity perturbed semilinear Dirichlet problems10
Stability and asymptotic properties of the SEQIR epidemic model10
Uniqueness of weak solutions to a Keller–Segel–Navier–Stokes system10
Gradient recovery based finite element methods for the two-dimensional quad-curl problem10
Unique inversion of orders and potential for multi-term time fractional wave equations10
Nonexistence result for Chern–Simons–Schrödinger–Higgs system10
Subdivision scheme for discrete probability measure-valued data10
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