Applied Mathematics Letters

Papers
(The TQCC of Applied Mathematics Letters is 6. 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 2022-01-01 to 2026-01-01.)
ArticleCitations
Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data186
Editorial Board128
Analytical solution for potential flow across two circular cylinders using the BIE in conjunction with degenerate kernels of bipolar coordinates123
The existence and nonlinear stability of stationary solutions to inflow problem for a reduced gravity two and a half layer model122
An adaptive homotopy tracking algorithm for solving nonlinear parametric systems with applications in nonlinear ODEs100
A reproducing kernel method for nonlinear C-q-fractional IVPs93
Stability of periodic traveling fronts for a time–space periodic dengue transmission model91
The sharp time decay rates for the incompressible Phan-Thien–Tanner system with magnetic field in 85
Maximum entropy principle approach to a non-isothermal Maxwell–Stefan diffusion model84
Numerical analysis of growth-mediated autochemotactic pattern formation in self-propelling bacteria78
Extending matrix–vector framework on multiple relaxation time lattice Boltzmann method59
Editorial Board59
Restarted randomized surrounding methods for solving large linear equations58
Modified least squares estimators for Ornstein–Uhlenbeck processes from low-frequency observations58
The Liouville theorems for 3D stationary tropical climate model in local Morrey spaces56
Global suppression and periodic change of the mosquito population in a sterile release model with delay55
Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator52
A novel Moore–Penrose inverse to dual quaternion matrices with applications52
Manifold expressions of all solutions of the Yang–Baxter-like matrix equation for rank-one matrices50
Support set and unique ergodicity of stochastic KdV equation47
Two trigonometric function solutions of the mKdV equations47
An efficient augmented approach algorithm for incompressible Stokes problems on staggered Cartesian grids45
Extensive generalized shift-splitting preconditioner for 3 × 3 block saddle point problems42
Global well-posedness of the Maxwell–Landau–Lifshitz equation with spin accumulation41
A stochastic predator–prey eco-epidemiological model with hunting cooperation39
Nontrivial solutions for indefinite Schrödinger–Poisson systems and Kirchhoff equations39
Leighton–Wintner-type oscillation theorem for the discrete p39
An energy estimate and a stabilized Lagrange–Galerkin scheme for a multiphase flow model38
Energy quadratization Runge–Kutta scheme for the conservative Allen–Cahn equation with a nonlocal Lagrange multiplier38
A conservative Allen–Cahn equation with a curvature-dependent Lagrange multiplier37
Strong comparison principle for a p-Laplace equation involving singularity and its applications37
The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation36
Positive solutions of parameter-dependent nonlocal differential equations with convolution coefficients36
Propagation properties of bright solitons generated by the complex Ginzburg–Landau equation with high-order dispersion and nonlinear gradient terms35
Analysis of a higher order problem within the second gradient theory32
Stationary distribution of a chemostat model with distributed delay and stochastic perturbations32
Controllable rogue wave and mixed interaction solutions for the coupled Ablowitz–Ladik equations with branched dispersion32
On a Camassa–Holm type equation describing the dynamics of viscous fluid conduits32
Traveling wave fronts for a discrete Nicholson’s blowflies model with two delays31
Editorial Board31
Remarks on Navier–Stokes regularity criteria in Vishik-type spaces31
The finite element method for modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem30
Integrable matrix nonlinear Schrödinger equations with reduced Lax pairs of AKNS type30
Fast numerical study on spatial nonuniform grids for two-dimensional fractional coupled equations with fractional Neumann boundary conditions30
Normalized solutions and bifurcation for fractional Schrödinger equation with linear potential30
Computation of scattering poles using boundary integrals29
Quasi-exponential stability of non-autonomous integro-differential systems with infinite delay29
Global stability and Hopf bifurcation of networked respiratory disease model with delay29
High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems28
On the unconditional long-time L28
On a two-component Camassa–Holm equation28
On a diffusion-advection algae model with a nonlinear boundary27
Integrability and solutions for a fourth-order lattice Gel’fand–Dikii equation26
An analytical Green’s function for Laplace operator in an infinite plane with two circular holes using degenerate kernels26
Logarithmic type stability for the simultaneous identification of Robin coefficient and heat flux in an elliptic equation26
Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality25
A new inexact fixed point iteration method for solving tensor absolute value equation25
Editorial Board24
A second order Hamiltonian neural model24
Exact linearization and exact solutions of a generalized Thomas equation with general variable coefficients24
Multiple-high-order pole solutions for the NLS equation with quartic terms24
Novel minimum residual MHSS iteration method for solving complex symmetric linear systems24
An effective operator splitting scheme for two-dimensional conservative nonlocal Allen–Cahn equation23
On (p,n)23
Polynomial approximation of derivatives through a regression–interpolation method23
Decay estimate of the viscoelastic plate with type II heat conduction in the whole space23
The discrete modified Korteweg–de Vries equation under nonzero boundary conditions23
Inhomogeneity, magnetic auto-Bäcklund transformations and magnetic solitons for a generalized variable-coefficient Kraenkel-Manna-Merle system in a deformed ferrite22
About stability of a mathematical model of Glassy-winged Sharpshooter population under Poisson’s jumps22
AAA rational approximation for time domain model order reduction22
A short note on the Painlevé XXV–Ermakov equation22
Large time decay rates of the two-dimensional magneto-micropolar fluids with zero angular viscosity21
Editorial Board21
Global existence for the periodic deformed Hunter–Saxton equation21
Dynamics analysis for the Wadati–Konno–Ichikawa(II)-short pulse equation21
Explicit exponential algorithms for two-dimensional charged-particle dynamics with non-homogeneous electromagnetic fields21
Persistence property and infinite propagation speed for the b-family 21
A high-order accurate multidomain Legendre–Chebyshev spectral method for 2D Maxwell’s equations in inhomogeneous media with discontinuous waves20
Optimal decay of critical derivative for a two-dimensional chemotaxis-shallow water system20
Editorial Board20
Infinitely many smooth nodal solutions for Orlicz Robin problems20
Multiple solutions for critical Kirchhoff–Poisson systems in the Heisenberg group20
A Trudinger–Moser type inequality in a strip and applications20
Retraction notice to “Analysis on the motion of nonlinear vibration with fractional order and time variable mass” [Appl. Math. Lett. 124 (2022) 107621]20
Boundedness and exponential stabilization for time–space fractional parabolic–elliptic Keller–Segel model in higher dimensions19
Balanced Euler methods for the strong approximation of stochastic Volterra integral equations19
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 novel (219
Energy equality of the weak solutions to Navier–Stokes equations in the multiplier spaces19
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system19
On the uniqueness of 3-D inhomogeneous viscous incompressible magnetohydrodynamic equations with bounded density19
On reconstruction of small sources from Cauchy data at a fixed frequency19
Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna19
A POD based reduced-order local RBF collocation approach for time-dependent nonlocal diffusion problems19
Semi-rational vector rogon–soliton solutions of the five-component Manakov/NLS system with mixed backgrounds19
Maximum bound principle preserving and mass conservative projection method for the conservative Allen–Cahn equation18
Constrained mock-Chebyshev least squares quadrature18
Wasserstein convergence of invariant measures for fractional stochastic reaction–diffusion equations on unbounded domains18
Large-time behavior of the energy to the isentropic compressible Navier–Stokes equations with vacuum18
Note on stability of an abstract coupled hyperbolic-parabolic system: Singular case18
Preserving-periodic Riemannian descent model reduction of linear discrete-time periodic systems with isometric vector transport on product manifolds18
SAV unconditional stable estimate of parallel decoupled stabilized finite element algorithm for the fully mixed Stokes–Darcy problems17
Normalized ground states for a Hardy–Littlewood–Sobolev upper critical Schrödinger equation with double Choquard type nonlinear terms17
Collision-avoidance, aggregation and velocity-matching in a Cucker–Smale-type model17
Oscillation and asymptotic behavior of third-order nonlinear delay differential equations with positive and negative terms17
A note on sufficient conditions of asymptotic stability in distribution of stochastic differential equations with 17
Applied higher-order elliptic problems with nonstandard growth structure17
A new method for nonlinear Riesz fractional reaction-diffusion equations17
N-soliton asymptotic analysis on the Gerdjikov–Ivanov equation for th17
A weighted gradient model with total variation regularization for multi-focus image fusion17
A note on the L1 discretization error for the Caputo derivative in Hölder spaces17
Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems16
Global smooth solutions for the Landau–Lifshitz–Bloch equation with helicity term16
A new global existence result for the 3D magneto-hydrodynamics equations16
A class of iterative functional fractional differential equation on infinite interval16
Modeling the impact of directional movement on mosquito population suppress16
Mathematical model with unrestricted dispersion and polynomial nonlinearity16
The slightly compressible Brinkman-Forcheimer equations and its incompressible approximation16
Inverse scattering and soliton dynamics for the mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation16
Nonlinear transmission exponent for boundedness of solutions to a chemotaxis system with indirect signal production16
Meshless method of solving multi-term time-fractional integro-differential equation15
Darboux transformations and exact solutions of nonlocal Kaup–Newell equations with variable coefficients15
Sign-changing solutions for Schrödinger–Poisson system with p-Laplacian in 15
New type of multiple lump and rogue wave solutions of the (2+1)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili equation15
A note on the global dynamics for a diffusive foot-and-mouth disease model15
Theoretical analysis of time-reassigned synchrosqueezing wavelet transform15
An unstructured algorithm for the singular value decomposition of biquaternion matrices15
Infinitely many positive periodic solutions for second order functional differential equations15
Symmetry reduction and exact solutions of the (3+1)-dimensional nKdV-nCBS equation15
Stochastic stability and stationary probability density analysis for a nutrient–phytoplankton model with multiplicative and additive noises15
Mixed solutions for an AB system in geophysical fluids or nonlinear optics15
Threshold dynamics of a degenerated diffusive incubation period host–pathogen model with saturation incidence rate15
Time-splitting Fourier spectral method for two-dimensional space fractional Schrödinger–Poisson-X15
Averaging principle for fractional stochastic differential equations with 15
On viscoelastic fluid in a vertical porous media channel with Soret and Dufour effects14
Orbital stability of solitary wave solutions of a Hamiltonian PDE arising in magma dynamics14
Editorial Board14
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Long-timeH1<14
Lower and upper bounds of the solution for the Lyapunov matrix differential equation and an application in input-output finite-time stability of linear systems14
A priori estimates and existence of solutions to a system of nonlinear elliptic equations14
Blow-up criteria for double-diffusive convection systems in sum spaces14
Structure preserving FEM for the perturbed wave equation of quantum mechanics14
Normalized solutions for L214
Buoyancy and drag in Rayleigh–Taylor and Richtmyer–Meshkov linear, nonlinear and mixing dynamics14
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
Bifurcation dynamics in a stochastic population model with Beverton–Holt growth13
Stability and spatiotemporal patterns of a memory-based diffusion equation with nonlocal interaction13
A note on a supercritical p-Laplacian equation with logarithmic pertur13
On permanence and extinction for a nonautonomous chemostat model with delays13
Stability of 2D inviscid MHD equations with only fractional magnetic diffusion in the horizontal direction13
The Schrödinger–Born–Infeld system: Attractive case13
Two-sided randomized algorithms for approximate K-term t-SVD13
A new blowup criterion for strong solutions of the three-dimensional isentropic compressible micropolar fluid13
Improvements of boundedness criteria for a class of indirect chemotaxis-consumption models with signal-dependent sensitivity13
Error estimate of the fast L1 method for time-fractional subdiffusion equations13
Geometric programming for multilinear systems with nonsingular M13
Blow-up of solutions to the Keller–Segel model with tensorial flux in high dimensions13
Supercloseness of the LDG method for a singularly perturbed convection–diffusion problem on Bakhvalov-type mesh13
A note on polynomial-free unisolvence of polyharmonic splines at random points12
Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation12
Effects of the Coriolis effect on solitary waves of the geophysical Green–Naghdi system12
On 3D generalized MHD equations with different dissipation exponents12
A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative12
A novel integral inequality and its application to stability analysis of linear system with multiple time delays12
Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption12
Topic-a cluster of relevant messages-propagation dynamics: A modeling study of the impact of user repeated forwarding behaviors12
On well-posedness of Navier–Stokes variational inequalities12
Dynamics of a non-autonomous Kawasaki disease model with endothelial cell injury and general functional responses12
Shifted-Legendre orthonormal method for delay heat conduction equation12
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A non-existence result for periodic solutions of the relativistic pendulum with friction12
Supercloseness analysis of the linear finite element method for a singularly perturbed convection–diffusion problem on Vulanović–Bakhvalov mesh12
On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator12
Global asymptotic stability in a non-autonomous delay mosquito population suppression model12
Stabilization by multiplicative Itô noise for Chafee–Infante equation in perforated domains12
Computational homology to unravel the complex scar structure after a myocardial infarction12
The existence theory of solution in Sobolev space for fractional differential equations12
Unconditionally energy-stable mapped Gegenbauer spectral Galerkin method for diffusive–viscous wave equation in unbounded domains12
Similarity transformations and exact solutions of the (3+1)-dimensional nonlinear Schrödinger equation with spatiotemporally varying coefficients11
QR decomposition of dual matrices and its application11
Asymptotic stability of a stochastic Lotka–Volterra competition model with dispersion and Ornstein–Uhlenbeck process11
In plasma physics and fluid dynamics: Symbolic computation on a (2+1)-dimensional variable-coefficient Sawada-Kotera system11
On an elliptic chemotaxis system with flux limitation and subcritical signal production11
Spatially nonhomogeneous periodic patterns in a delayed predator–prey model with predator-taxis diffusion11
Lyapunov functions for some epidemic model with high risk and vaccinated class11
The efficient spectral Galerkin method to the phase-field models in polar geometry11
Power-series solution of the L-fractional logistic equation11
Sufficient and necessary conditions for ground state sign-changing solutions to the Schrödinger–Poisson system with cubic nonlinearity on bounded domains11
Global solutions for the system of a viscous two-fluid model11
An equivalent formulation of Sonine condition11
Novel exponential-weighted integral inequality for exponential stability analysis of time-varying delay systems11
Energy of steady periodic equatorial water waves in two-layer flows11
Stationary distribution and extinction of a stochastic generalized SEI epidemic model with Ornstein–Uhlenbeck process11
A locking-free mixed enriched Galerkin method of arbitrary order for linear elasticity using the stress–displacement formulation11
A second-order three-point difference scheme on a posteriori mesh for a singularly perturbed convection–diffusion problem11
A note on the reliability of goal-oriented error estimates for Galerkin finite element methods with nonlinear functionals10
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 viscosity10
Analytical 3D fundamental solutions for dynamic saturated poroelasticity10
Fast and highly accurate reproducing kernels based approach for Poisson equation10
Backward bifurcation arising from decline of immunity against emerging infectious diseases10
Constructing relaxation systems for lattice Boltzmann methods10
A free boundary problem with impulsive harvesting in small advection environment10
How to choose the signature operator such that the periodic pseudo-Jacobi inverse eigenvalue problem is solvable?10
Non-degeneracy and uniqueness of the radial solutions to a coupled k-10
Variable-step numerical schemes and energy dissipation laws for time fractional Cahn–Hilliard model10
A sine transform-based preconditioner for the fourth-order scheme arising from multi-dimensional nonlocal Poisson equations10
Insights into unexpected relapse and recovery in HCV-infected patients by studying a stochastic within-host HCV model10
Spline-oriented inter/extrapolation-based multirate schemes of higher order10
Eigenvalue problems with unbalanced growth10
A note on a critical bi-harmonic equation with logarithmic perturbation10
Subdivision scheme for discrete probability measure-valued data10
A novel time-domain SCT-BEM for transient heat conduction analysis10
Constrained low-rank approximation of quaternion matrices and beyond10
Error analysis of modified Runge–Kutta–Nyström methods for nonlinear second-order delay boundary value problems10
A new blowup criterion for a generalized Hall-MHD system concerning the deformation tensor10
Mittag-Leffler kernel-based oversampling collocation method for fractional initial value problems with contaminated data10
The uniform l110
Generalization of PINNs for elliptic interface problems10
On the existence of locally-defined projective interpolations10
Real solutions to an asymptotically linear Helmholtz equation10
Stability for the 2D anisotropic surface quasi-geostrophic equation with horizontal dissipation10
A moving finite element method for solving two-dimensional coupled Burgers’ equations at high Reynolds numbers10
Parsimonious models of in-host viral dynamics and immune response10
Global stability of a degenerate reaction–diffusion host-pathogen model in critical case10
Groundstates for magnetic Choquard equations with critical exponential growth10
Unique inversion of orders and potential for multi-term time fractional wave equations9
Gradient recovery based finite element methods for the two-dimensional quad-curl problem9
Global dynamics of a two-stage social insect model incorporating nonlinear egg cannibalism9
Nonexistence result for Chern–Simons–Schrödinger–Higgs system9
Multiple-relaxation-time lattice Boltzmann model for anisotropic liquid–solid phase change9
An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors9
Travelling waves in a minimal go-or-grow model of cell invasion9
A fast parameter optimization framework for iterative solvers in linear and nonlinear systems9
Recovery based finite difference scheme on unstructured mesh9
Asymptotically linear magnetic fractional problems9
The special solutions of 2-D steady isentropic irrotational relativistic Euler system9
Homoclinic solutions for a difference equation with the mean curvature operator and periodic coefficients9
Rotating, sliding or both?9
Mass and energy conservative high-order diagonally implicit Runge–Kutta schemes for nonlinear Schrödinger equation9
Inverse problem for the nonlinear long wave runup on a plane sloping beach9
Extended KdV equations generated by squared eigenfunction symmetry9
Dynamical analysis of higher-order rogue waves on the various backgrounds for the reverse space–time Fokas–Lenells equation9
Sharp analysis of L19
Editorial Board9
A class of higher-order time-splitting Monte Carlo method for fractional Allen–Cahn equation9
Stability and asymptotic properties of the SEQIR epidemic model9
On the similarity reduction solutions of the Bogoyavlenskii equation8
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