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 2021-11-01 to 2025-11-01.)
ArticleCitations
Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data160
Editorial Board156
Analysis of a higher order problem within the second gradient theory128
Manifold expressions of all solutions of the Yang–Baxter-like matrix equation for rank-one matrices99
A conservative Allen–Cahn equation with a curvature-dependent Lagrange multiplier93
Strong comparison principle for a p-Laplace equation involving singularity and its applications90
Support set and unique ergodicity of stochastic KdV equation84
Controllable rogue wave and mixed interaction solutions for the coupled Ablowitz–Ladik equations with branched dispersion84
The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation78
Two trigonometric function solutions of the mKdV equations75
First order strong convergence of positivity preserving logarithmic Euler–Maruyama method for the stochastic SIS epidemic model59
Leighton–Wintner-type oscillation theorem for the discrete p56
Global well-posedness of the Maxwell–Landau–Lifshitz equation with spin accumulation56
A stochastic predator–prey eco-epidemiological model with hunting cooperation55
Nontrivial solutions for indefinite Schrödinger–Poisson systems and Kirchhoff equations54
An S-type inclusion set for C-eigenvalues of a piezoelectric-type tensor53
The existence and nonlinear stability of stationary solutions to inflow problem for a reduced gravity two and a half layer model52
Analytical solution for potential flow across two circular cylinders using the BIE in conjunction with degenerate kernels of bipolar coordinates52
An adaptive homotopy tracking algorithm for solving nonlinear parametric systems with applications in nonlinear ODEs50
The sharp time decay rates for the incompressible Phan-Thien–Tanner system with magnetic field in 50
Stability of periodic traveling fronts for a time–space periodic dengue transmission model50
A reproducing kernel method for nonlinear C-q-fractional IVPs50
Maximum entropy principle approach to a non-isothermal Maxwell–Stefan diffusion model49
Extensive generalized shift-splitting preconditioner for 3 × 3 block saddle point problems46
Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator46
The Liouville theorems for 3D stationary tropical climate model in local Morrey spaces45
Global suppression and periodic change of the mosquito population in a sterile release model with delay44
Numerical analysis of growth-mediated autochemotactic pattern formation in self-propelling bacteria42
Extending matrix–vector framework on multiple relaxation time lattice Boltzmann method40
An energy estimate and a stabilized Lagrange–Galerkin scheme for a multiphase flow model39
Editorial Board39
Propagation properties of bright solitons generated by the complex Ginzburg–Landau equation with high-order dispersion and nonlinear gradient terms38
Positive solutions of parameter-dependent nonlocal differential equations with convolution coefficients38
Energy quadratization Runge–Kutta scheme for the conservative Allen–Cahn equation with a nonlocal Lagrange multiplier37
Modified least squares estimators for Ornstein–Uhlenbeck processes from low-frequency observations37
Restarted randomized surrounding methods for solving large linear equations37
An efficient augmented approach algorithm for incompressible Stokes problems on staggered Cartesian grids36
Stationary distribution of a chemostat model with distributed delay and stochastic perturbations35
On a Camassa–Holm type equation describing the dynamics of viscous fluid conduits34
Traveling wave fronts for a discrete Nicholson’s blowflies model with two delays34
Remarks on Navier–Stokes regularity criteria in Vishik-type spaces32
Editorial Board32
Fast numerical study on spatial nonuniform grids for two-dimensional fractional coupled equations with fractional Neumann boundary conditions31
Normalized solutions and bifurcation for fractional Schrödinger equation with linear potential31
The finite element method for modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem31
On a diffusion-advection algae model with a nonlinear boundary30
On a two-component Camassa–Holm equation30
Quasi-exponential stability of non-autonomous integro-differential systems with infinite delay30
Computation of scattering poles using boundary integrals30
An analytical Green’s function for Laplace operator in an infinite plane with two circular holes using degenerate kernels29
Integrability and solutions for a fourth-order lattice Gel’fand–Dikii equation29
Logarithmic type stability for the simultaneous identification of Robin coefficient and heat flux in an elliptic equation29
Integrable matrix nonlinear Schrödinger equations with reduced Lax pairs of AKNS type28
A second order Hamiltonian neural model28
Novel minimum residual MHSS iteration method for solving complex symmetric linear systems28
Exact linearization and exact solutions of a generalized Thomas equation with general variable coefficients27
Multiple-high-order pole solutions for the NLS equation with quartic terms27
Editorial Board27
Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality27
Decay estimate of the viscoelastic plate with type II heat conduction in the whole space26
The discrete modified Korteweg–de Vries equation under nonzero boundary conditions26
A new inexact fixed point iteration method for solving tensor absolute value equation25
Global stability and Hopf bifurcation of networked respiratory disease model with delay24
An effective operator splitting scheme for two-dimensional conservative nonlocal Allen–Cahn equation24
High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems24
Polynomial approximation of derivatives through a regression–interpolation method23
About stability of a mathematical model of Glassy-winged Sharpshooter population under Poisson’s jumps23
AAA rational approximation for time domain model order reduction22
A POD based reduced-order local RBF collocation approach for time-dependent nonlocal diffusion problems22
A weighted gradient model with total variation regularization for multi-focus image fusion22
Energy equality of the weak solutions to Navier–Stokes equations in the multiplier spaces22
A note on generalized exponential stability of impulsive stochastic functional differential equations22
Balanced Euler methods for the strong approximation of stochastic Volterra integral equations22
Ground states of a class of gradient systems of Choquard type with general nonlinearity22
Arbitrary initial energy blow up for fourth-order viscous damped wave equation with exponential-type growth nonlinearity22
A short note on the Painlevé XXV–Ermakov equation22
A note on sufficient conditions of asymptotic stability in distribution of stochastic differential equations with 21
Persistence property and infinite propagation speed for the b-family 21
Collision-avoidance, aggregation and velocity-matching in a Cucker–Smale-type model21
Editorial Board21
Dynamics analysis for the Wadati–Konno–Ichikawa(II)-short pulse equation21
Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna21
Applied higher-order elliptic problems with nonstandard growth structure21
Large time decay rates of the two-dimensional magneto-micropolar fluids with zero angular viscosity21
On reconstruction of small sources from Cauchy data at a fixed frequency20
Infinitely many smooth nodal solutions for Orlicz Robin problems20
A high-order accurate multidomain Legendre–Chebyshev spectral method for 2D Maxwell’s equations in inhomogeneous media with discontinuous waves20
On the uniqueness of 3-D inhomogeneous viscous incompressible magnetohydrodynamic equations with bounded density20
A novel (220
Maximum bound principle preserving and mass conservative projection method for the conservative Allen–Cahn equation20
Editorial Board20
Normalized ground states for a Hardy–Littlewood–Sobolev upper critical Schrödinger equation with double Choquard type nonlinear terms20
A Trudinger–Moser type inequality in a strip and applications19
Explicit exponential algorithms for two-dimensional charged-particle dynamics with non-homogeneous electromagnetic fields19
Large-time behavior of the energy to the isentropic compressible Navier–Stokes equations with vacuum19
Semi-rational vector rogon–soliton solutions of the five-component Manakov/NLS system with mixed backgrounds19
Constrained mock-Chebyshev least squares quadrature19
Optimal decay of critical derivative for a two-dimensional chemotaxis-shallow water system19
On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in 19
Wasserstein convergence of invariant measures for fractional stochastic reaction–diffusion equations on unbounded domains19
Retraction notice to “Analysis on the motion of nonlinear vibration with fractional order and time variable mass” [Appl. Math. Lett. 124 (2022) 107621]19
Note on stability of an abstract coupled hyperbolic-parabolic system: Singular case19
Boundedness and exponential stabilization for time–space fractional parabolic–elliptic Keller–Segel model in higher dimensions19
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system19
A modified multivariate spectral gradient algorithm for solving absolute value equations19
Multiple solutions for critical Kirchhoff–Poisson systems in the Heisenberg group19
SAV unconditional stable estimate of parallel decoupled stabilized finite element algorithm for the fully mixed Stokes–Darcy problems18
Normalized solutions for L218
N-soliton asymptotic analysis on the Gerdjikov–Ivanov equation for th18
A note on the L1 discretization error for the Caputo derivative in Hölder spaces18
Long-timeH1<18
Meshless method of solving multi-term time-fractional integro-differential equation18
Quasi-neutral limit of the Isothermal Naiver–Stokes–Poisson with boundary18
Infinitely many positive periodic solutions for second order functional differential equations18
Sign-changing solutions for Schrödinger–Poisson system with p-Laplacian in 17
Stochastic stability and stationary probability density analysis for a nutrient–phytoplankton model with multiplicative and additive noises17
Mathematical model with unrestricted dispersion and polynomial nonlinearity17
Threshold dynamics of a degenerated diffusive incubation period host–pathogen model with saturation incidence rate17
Symmetry reduction and exact solutions of the (3+1)-dimensional nKdV-nCBS equation17
Nonlinear transmission exponent for boundedness of solutions to a chemotaxis system with indirect signal production17
Theoretical analysis of time-reassigned synchrosqueezing wavelet transform17
Inverse scattering and soliton dynamics for the mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation17
On viscoelastic fluid in a vertical porous media channel with Soret and Dufour effects17
Time-splitting Fourier spectral method for two-dimensional space fractional Schrödinger–Poisson-X17
Oscillation and asymptotic behavior of third-order nonlinear delay differential equations with positive and negative terms16
An unstructured algorithm for the singular value decomposition of biquaternion matrices16
Mixed solutions for an AB system in geophysical fluids or nonlinear optics16
Existence of solutions for p-Laplacian parabolic Kirchhoff equation16
Modeling the impact of directional movement on mosquito population suppress15
Darboux transformations and exact solutions of nonlocal Kaup–Newell equations with variable coefficients15
A priori estimates and existence of solutions to a system of nonlinear elliptic equations15
A note on the global dynamics for a diffusive foot-and-mouth disease model15
A new global existence result for the 3D magneto-hydrodynamics equations15
A class of iterative functional fractional differential equation on infinite interval15
Averaging principle for fractional stochastic differential equations with 15
Orbital stability of solitary wave solutions of a Hamiltonian PDE arising in magma dynamics15
The slightly compressible Brinkman-Forcheimer equations and its incompressible approximation15
Global smooth solutions for the Landau–Lifshitz–Bloch equation with helicity term15
New type of multiple lump and rogue wave solutions of the (2+1)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili equation15
Buoyancy and drag in Rayleigh–Taylor and Richtmyer–Meshkov linear, nonlinear and mixing 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
Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems15
The Schrödinger–Born–Infeld system: Attractive case14
Stability of 2D inviscid MHD equations with only fractional magnetic diffusion in the horizontal direction14
Sufficient and necessary conditions for ground state sign-changing solutions to the Schrödinger–Poisson system with cubic nonlinearity on bounded domains14
On well-posedness of Navier–Stokes variational inequalities14
Analysis of an HIV latent infection model with cell-to-cell transmission and multiple drug classes14
Fourier beyond dispersion: Wavenumber explicit and precise accuracy of FDMs for the Helmholtz equation14
Two-sided randomized algorithms for approximate K-term t-SVD14
Structure preserving FEM for the perturbed wave equation of quantum mechanics14
Editorial Board14
Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation14
Blow-up criteria for double-diffusive convection systems in sum spaces14
A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative13
Global stability for a heroin epidemic model in a critical case13
In plasma physics and fluid dynamics: Symbolic computation on a (2+1)-dimensional variable-coefficient Sawada-Kotera system13
On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator13
Stabilization by multiplicative Itô noise for Chafee–Infante equation in perforated domains13
Blow-up of solutions to the Keller–Segel model with tensorial flux in high dimensions13
Geometric programming for multilinear systems with nonsingular M13
Bifurcation dynamics in a stochastic population model with Beverton–Holt growth13
Unconditionally energy-stable mapped Gegenbauer spectral Galerkin method for diffusive–viscous wave equation in unbounded domains13
Stationary distribution and extinction of a stochastic generalized SEI epidemic model with Ornstein–Uhlenbeck process13
Effects of the Coriolis effect on solitary waves of the geophysical Green–Naghdi system13
Asymptotic stability of a stochastic Lotka–Volterra competition model with dispersion and Ornstein–Uhlenbeck process13
A note on a supercritical p-Laplacian equation with logarithmic pertur13
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Computational homology to unravel the complex scar structure after a myocardial infarction13
A note on polynomial-free unisolvence of polyharmonic splines at random points13
Error estimate of the fast L1 method for time-fractional subdiffusion equations12
Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption12
A novel integral inequality and its application to stability analysis of linear system with multiple time delays12
Supercloseness analysis of the linear finite element method for a singularly perturbed convection–diffusion problem on Vulanović–Bakhvalov mesh12
On an elliptic chemotaxis system with flux limitation and subcritical signal production12
A new blowup criterion for strong solutions of the three-dimensional isentropic compressible micropolar fluid12
Power-series solution of the L-fractional logistic equation12
Global asymptotic stability in a non-autonomous delay mosquito population suppression model12
Topic-a cluster of relevant messages-propagation dynamics: A modeling study of the impact of user repeated forwarding behaviors12
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The existence theory of solution in Sobolev space for fractional differential equations12
On 3D generalized MHD equations with different dissipation exponents12
Stability and spatiotemporal patterns of a memory-based diffusion equation with nonlocal interaction12
Shifted-Legendre orthonormal method for delay heat conduction equation12
On permanence and extinction for a nonautonomous chemostat model with delays12
Supercloseness of the LDG method for a singularly perturbed convection–diffusion problem on Bakhvalov-type mesh12
Error analysis of modified Runge–Kutta–Nyström methods for nonlinear second-order delay boundary value problems11
Energy of steady periodic equatorial water waves in two-layer flows11
Similarity transformations and exact solutions of the (3+1)-dimensional nonlinear Schrödinger equation with spatiotemporally varying coefficients11
A second-order three-point difference scheme on a posteriori mesh for a singularly perturbed convection–diffusion problem11
Spline-oriented inter/extrapolation-based multirate schemes of higher order11
Bilinear auto-Bäcklund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves11
A new blowup criterion for a generalized Hall-MHD system concerning the deformation tensor11
Variable-step numerical schemes and energy dissipation laws for time fractional Cahn–Hilliard model11
Generalization of PINNs for elliptic interface problems11
The efficient spectral Galerkin method to the phase-field models in polar geometry11
Global solutions for the system of a viscous two-fluid model11
Parsimonious models of in-host viral dynamics and immune response11
Constructing relaxation systems for lattice Boltzmann methods11
Groundstates for magnetic Choquard equations with critical exponential growth11
Non-degeneracy and uniqueness of the radial solutions to a coupled k-11
A non-existence result for periodic solutions of the relativistic pendulum with friction11
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
An equivalent formulation of Sonine condition11
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
Analytical 3D fundamental solutions for dynamic saturated poroelasticity11
QR decomposition of dual matrices and its application10
Sharp analysis of L110
Stability and asymptotic properties of the SEQIR epidemic model10
Eigenvalue problems with unbalanced growth10
Nonexistence result for Chern–Simons–Schrödinger–Higgs system10
Lyapunov functions for some epidemic model with high risk and vaccinated class10
A moving finite element method for solving two-dimensional coupled Burgers’ equations at high Reynolds numbers10
How to choose the signature operator such that the periodic pseudo-Jacobi inverse eigenvalue problem is solvable?10
Stability for the 2D anisotropic surface quasi-geostrophic equation with horizontal dissipation10
Backward bifurcation arising from decline of immunity against emerging infectious diseases10
G210
Uniqueness of weak solutions to a Keller–Segel–Navier–Stokes system10
A new error analysis of a linearized Euler Galerkin scheme for Schrödinger equation with cubic nonlinearity10
Global stability of a degenerate reaction–diffusion host-pathogen model in critical case10
A novel time-domain SCT-BEM for transient heat conduction analysis10
The uniform l110
Real solutions to an asymptotically linear Helmholtz equation10
A note on a critical bi-harmonic equation with logarithmic perturbation10
An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors10
Unique inversion of orders and potential for multi-term time fractional wave equations10
On the existence of locally-defined projective interpolations10
Subdivision scheme for discrete probability measure-valued data10
Spatially nonhomogeneous periodic patterns in a delayed predator–prey model with predator-taxis diffusion10
Insights into unexpected relapse and recovery in HCV-infected patients by studying a stochastic within-host HCV model10
A free boundary problem with impulsive harvesting in small advection environment10
Iterative optimization method for determining optimal shape parameter in RBF-FD method9
A class of higher-order time-splitting Monte Carlo method for fractional Allen–Cahn equation9
Caputo–Hadamard fractional Halanay inequality9
Gradient recovery based finite element methods for the two-dimensional quad-curl problem9
Rotating, sliding or both?9
A product integration rule on equispaced nodes for highly oscillating integrals9
Painlevé analysis, integrability property and multiwave interaction solutions for a new (4+1)-dimensional KdV–Calogero–Bogoyavlenkskii–Schiff equation9
Recovery based finite difference scheme on unstructured mesh9
Travelling waves in a minimal go-or-grow model of cell invasion9
Global attractivity of the equilibria of the diffusive SIR and SEIR epidemic models with multiple parallel infectious stages and nonlinear incidence mechanism9
The special solutions of 2-D steady isentropic irrotational relativistic Euler system9
Inverse problem for the nonlinear long wave runup on a plane sloping beach9
Optimal convergence rate of the explicit Euler method for convection–diffusion equations9
Space-curved resonant solitons and interaction solutions of the (2+1)-dimensional Ito equation9
Global dynamics of a two-stage social insect model incorporating nonlinear egg cannibalism9
Extended KdV equations generated by squared eigenfunction symmetry9
Multiple-relaxation-time lattice Boltzmann model for anisotropic liquid–solid phase change9
Dynamical analysis of higher-order rogue waves on the various backgrounds for the reverse space–time Fokas–Lenells equation9
A double-parameter shifted convolution quadrature formula and its application to fractional mobile/immobile transport equations8
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