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 2022-05-01 to 2026-05-01.)
ArticleCitations
Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data225
Editorial Board191
Analytical solution for potential flow across two circular cylinders using the BIE in conjunction with degenerate kernels of bipolar coordinates168
The existence and nonlinear stability of stationary solutions to inflow problem for a reduced gravity two and a half layer model128
Stability of periodic traveling fronts for a time–space periodic dengue transmission model127
The sharp time decay rates for the incompressible Phan-Thien–Tanner system with magnetic field in 97
Numerical analysis of growth-mediated autochemotactic pattern formation in self-propelling bacteria93
Extending matrix–vector framework on multiple relaxation time lattice Boltzmann method93
Restarted randomized surrounding methods for solving large linear equations64
Editorial Board64
Modified least squares estimators for Ornstein–Uhlenbeck processes from low-frequency observations61
The Liouville theorems for 3D stationary tropical climate model in local Morrey spaces59
Global suppression and periodic change of the mosquito population in a sterile release model with delay52
Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator50
On an integrable discrete coupled nonlinear Schrödinger equation with branched dispersion: Discrete 49
Inconsistent tensor-tensor product for low-rank tensor factorization47
Manifold expressions of all solutions of the Yang–Baxter-like matrix equation for rank-one matrices47
An efficient augmented approach algorithm for incompressible Stokes problems on staggered Cartesian grids45
A stochastic predator–prey eco-epidemiological model with hunting cooperation44
WITHDRAWN: Innovations beyond the Classical Framework in the Dual Space 42
The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation41
Interaction structures of (2+1)-dimensional Sawada–Kotera-like equation40
Maximum entropy principle approach to a non-isothermal Maxwell–Stefan diffusion model40
Global solutions to 3D MHD equations with fractional dissipation39
Propagation properties of bright solitons generated by the complex Ginzburg–Landau equation with high-order dispersion and nonlinear gradient terms38
Analysis of a higher order problem within the second gradient theory37
Normalized solutions for a nonlinear fractional elliptic problem with potentials36
Global well-posedness of the Maxwell–Landau–Lifshitz equation with spin accumulation36
Energy decay for evolution equations with glassy type memory35
Support set and unique ergodicity of stochastic KdV equation33
Nontrivial solutions for indefinite Schrödinger–Poisson systems and Kirchhoff equations32
Periodic wave, soliton and mixed solutions for an extended Benjamin–Ono equation32
Two trigonometric function solutions of the mKdV equations32
Strong comparison principle for a p-Laplace equation involving singularity and its applications31
An energy estimate and a stabilized Lagrange–Galerkin scheme for a multiphase flow model30
Strong convergence of a fully discrete finite element approximation of non-Lipschitz SPDEs with multiplicative noise30
Leighton–Wintner-type oscillation theorem for the discrete p30
Extensive generalized shift-splitting preconditioner for 3 × 3 block saddle point problems30
Energy quadratization Runge–Kutta scheme for the conservative Allen–Cahn equation with a nonlocal Lagrange multiplier30
Convex semi-continuous solutions of polynomial-like iterative equations29
A novel Moore–Penrose inverse to dual quaternion matrices with applications28
Traveling wave fronts for a discrete Nicholson’s blowflies model with two delays28
Positive solutions of parameter-dependent nonlocal differential equations with convolution coefficients28
On a Camassa–Holm type equation describing the dynamics of viscous fluid conduits28
Remarks on Navier–Stokes regularity criteria in Vishik-type spaces27
Editorial Board27
Fast numerical study on spatial nonuniform grids for two-dimensional fractional coupled equations with fractional Neumann boundary conditions26
High-order Gauss–Legendre methods admit a composition representation and a conjugate-symplectic counterpart26
The finite element method for modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem26
On a two-component Camassa–Holm equation25
On the unconditional long-time L25
Integrability and solutions for a fourth-order lattice Gel’fand–Dikii equation25
On a diffusion-advection algae model with a nonlinear boundary25
Computation of scattering poles using boundary integrals24
An analytical Green’s function for Laplace operator in an infinite plane with two circular holes using degenerate kernels24
Normalized solutions and bifurcation for fractional Schrödinger equation with linear potential24
Polynomial approximation of derivatives through a regression–interpolation method24
Logarithmic type stability for the simultaneous identification of Robin coefficient and heat flux in an elliptic equation24
Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality23
Exact linearization and exact solutions of a generalized Thomas equation with general variable coefficients23
Multiple-high-order pole solutions for the NLS equation with quartic terms23
The discrete modified Korteweg–de Vries equation under nonzero boundary conditions23
Tipping time in a stochastic phosphorus dynamics model23
On (p,n)23
A second order Hamiltonian neural model23
Editorial Board23
Global stability and Hopf bifurcation of networked respiratory disease model with delay22
The generalized eigenvalue decomposition of a dual quaternion regular matrix pencil22
Regularity criteria via horizontal velocity components for 3D inhomogeneous incompressible Navier–Stokes equations with vacuum22
Novel minimum residual MHSS iteration method for solving complex symmetric linear systems22
An effective operator splitting scheme for two-dimensional conservative nonlocal Allen–Cahn equation21
A Radon transform-based formula for reconstructing acoustic sources from the scattered fields21
Integrable matrix nonlinear Schrödinger equations with reduced Lax pairs of AKNS type21
A new inexact fixed point iteration method for solving tensor absolute value equation20
Decay estimate of the viscoelastic plate with type II heat conduction in the whole space20
Quasi-exponential stability of non-autonomous integro-differential systems with infinite delay20
A short note on the Painlevé XXV–Ermakov equation19
Editorial Board19
Balanced Euler methods for the strong approximation of stochastic Volterra integral equations19
A POD based reduced-order local RBF collocation approach for time-dependent nonlocal diffusion problems19
Inhomogeneity, magnetic auto-Bäcklund transformations and magnetic solitons for a generalized variable-coefficient Kraenkel-Manna-Merle system in a deformed ferrite19
AAA rational approximation for time domain model order reduction19
Dynamics analysis for the Wadati–Konno–Ichikawa(II)-short pulse equation19
Note on stability of an abstract coupled hyperbolic-parabolic system: Singular case19
About stability of a mathematical model of Glassy-winged Sharpshooter population under Poisson’s jumps19
High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems19
Dynamics analysis of a stochastic regime-switching transmission model with governmental policy19
A high-order accurate multidomain Legendre–Chebyshev spectral method for 2D Maxwell’s equations in inhomogeneous media with discontinuous waves19
A weighted gradient model with total variation regularization for multi-focus image fusion19
Preserving-periodic Riemannian descent model reduction of linear discrete-time periodic systems with isometric vector transport on product manifolds18
Editorial Board18
Constrained mock-Chebyshev least squares quadrature18
On the uniqueness of 3-D inhomogeneous viscous incompressible magnetohydrodynamic equations with bounded density18
Wasserstein convergence of invariant measures for fractional stochastic reaction–diffusion equations on unbounded domains18
Explicit exponential algorithms for two-dimensional charged-particle dynamics with non-homogeneous electromagnetic fields18
Optimal decay of critical derivative for a two-dimensional chemotaxis-shallow water system18
Large-time behavior of the energy to the isentropic compressible Navier–Stokes equations with vacuum18
A Trudinger–Moser type inequality in a strip and applications18
Infinitely many smooth nodal solutions for Orlicz Robin problems18
A novel (217
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system17
Global existence for the periodic deformed Hunter–Saxton equation17
Retraction notice to “Analysis on the motion of nonlinear vibration with fractional order and time variable mass” [Appl. Math. Lett. 124 (2022) 107621]17
Normalized ground states for a Hardy–Littlewood–Sobolev upper critical Schrödinger equation with double Choquard type nonlinear terms17
Multiple solutions for critical Kirchhoff–Poisson systems in the Heisenberg group16
A note on sufficient conditions of asymptotic stability in distribution of stochastic differential equations with 16
Maximum bound principle preserving and mass conservative projection method for the conservative Allen–Cahn equation16
Energy equality of the weak solutions to Navier–Stokes equations in the multiplier spaces16
Large time decay rates of the two-dimensional magneto-micropolar fluids with zero angular viscosity16
N-soliton asymptotic analysis on the Gerdjikov–Ivanov equation for th16
A note on generalized exponential stability of impulsive stochastic functional differential equations15
On reconstruction of small sources from Cauchy data at a fixed frequency15
A class of iterative functional fractional differential equation on infinite interval15
Boundedness and exponential stabilization for time–space fractional parabolic–elliptic Keller–Segel model in higher dimensions15
Global smooth solutions for the Landau–Lifshitz–Bloch equation with helicity term15
On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in 15
A note on the global dynamics for a diffusive foot-and-mouth disease model15
SAV unconditional stable estimate of parallel decoupled stabilized finite element algorithm for the fully mixed Stokes–Darcy problems14
Algebraic method for Eigenvalue problems of dual quaternion Hermitian matrices and its application in RGB-HSV-based face representation and recognition14
Inverse scattering and soliton dynamics for the mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation14
Mathematical model with unrestricted dispersion and polynomial nonlinearity14
Sign-changing solutions for Schrödinger–Poisson system with p-Laplacian in 14
Averaging principle for fractional stochastic differential equations with 14
The slightly compressible Brinkman-Forcheimer equations and its incompressible approximation14
Modeling the impact of directional movement on mosquito population suppress14
A new method for nonlinear Riesz fractional reaction-diffusion equations14
Stochastic stability and stationary probability density analysis for a nutrient–phytoplankton model with multiplicative and additive noises14
An unstructured algorithm for the singular value decomposition of biquaternion matrices14
Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems14
Oscillation and asymptotic behavior of third-order nonlinear delay differential equations with positive and negative terms14
Time-splitting Fourier spectral method for two-dimensional space fractional Schrödinger–Poisson-X13
Darboux transformations and exact solutions of nonlocal Kaup–Newell equations with variable coefficients13
Infinitely many positive periodic solutions for second order functional differential equations13
Nonexistence and boundary behavior of solutions to the 13
Nonlinear transmission exponent for boundedness of solutions to a chemotaxis system with indirect signal production13
New type of multiple lump and rogue wave solutions of the (2+1)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili equation13
Symmetry reduction and exact solutions of the (3+1)-dimensional nKdV-nCBS equation13
Normalized solutions for L213
Linearly implicit conservative HDG method for the nonlinear Schrödinger equation13
Lower and upper bounds of the solution for the Lyapunov matrix differential equation and an application in input-output finite-time stability of linear systems13
A new global existence result for the 3D magneto-hydrodynamics equations13
Meshless method of solving multi-term time-fractional integro-differential equation13
Ground state solution of Schrödinger–Bopp–Podolsky system in the mass subcritical case13
Long-timeH1<12
Buoyancy and drag in Rayleigh–Taylor and Richtmyer–Meshkov linear, nonlinear and mixing dynamics12
Structure preserving FEM for the perturbed wave equation of quantum mechanics12
Dynamics of a non-autonomous Kawasaki disease model with endothelial cell injury and general functional responses12
Unconditionally energy-stable mapped Gegenbauer spectral Galerkin method for diffusive–viscous wave equation in unbounded domains12
Theoretical analysis of time-reassigned synchrosqueezing wavelet transform12
A priori estimates and existence of solutions to a system of nonlinear elliptic equations12
Editorial Board12
Effects of the Coriolis effect on solitary waves of the geophysical Green–Naghdi system12
The existence theory of solution in Sobolev space for fractional differential equations12
A note on the L1 discretization error for the Caputo derivative in Hölder spaces12
Threshold dynamics of a degenerated diffusive incubation period host–pathogen model with saturation incidence rate12
Orbital stability of solitary wave solutions of a Hamiltonian PDE arising in magma dynamics12
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A fourth-order scheme for the exterior Helmholtz problem in polar coordinates12
Blow-up criteria for double-diffusive convection systems in sum spaces12
Two-sided randomized algorithms for approximate K-term t-SVD11
A note on a supercritical p-Laplacian equation with logarithmic pertur11
Supercloseness of the LDG method for a singularly perturbed convection–diffusion problem on Bakhvalov-type mesh11
Fourier beyond dispersion: Wavenumber explicit and precise accuracy of FDMs for the Helmholtz equation11
̄11
On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator11
Geometric programming for multilinear systems with nonsingular M11
On permanence and extinction for a nonautonomous chemostat model with delays11
A new blowup criterion for strong solutions of the three-dimensional isentropic compressible micropolar fluid11
Asymptotic stability of a stochastic Lotka–Volterra competition model with dispersion and Ornstein–Uhlenbeck process11
Computational homology to unravel the complex scar structure after a myocardial infarction11
Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation11
Bifurcation dynamics in a stochastic population model with Beverton–Holt growth11
Scattering below the ground state of odd solutions for the focusing INLS in one dimension11
Stabilization by multiplicative Itô noise for Chafee–Infante equation in perforated domains11
Shifted-Legendre orthonormal method for delay heat conduction equation11
On 3D generalized MHD equations with different dissipation exponents11
Analysis of an HIV latent infection model with cell-to-cell transmission and multiple drug classes10
Supercloseness analysis of the linear finite element method for a singularly perturbed convection–diffusion problem on Vulanović–Bakhvalov mesh10
Stability of 2D inviscid MHD equations with only fractional magnetic diffusion in the horizontal direction10
Energy-stable port-Hamiltonian systems10
The efficient spectral Galerkin method to the phase-field models in polar geometry10
A non-existence result for periodic solutions of the relativistic pendulum with friction10
A note on polynomial-free unisolvence of polyharmonic splines at random points10
Improvements of boundedness criteria for a class of indirect chemotaxis-consumption models with signal-dependent sensitivity10
On an elliptic chemotaxis system with flux limitation and subcritical signal production10
Stability and spatiotemporal patterns of a memory-based diffusion equation with nonlocal interaction10
Topic-a cluster of relevant messages-propagation dynamics: A modeling study of the impact of user repeated forwarding behaviors10
In plasma physics and fluid dynamics: Symbolic computation on a (2+1)-dimensional variable-coefficient Sawada-Kotera system10
The Schrödinger–Born–Infeld system: Attractive case10
Energy of steady periodic equatorial water waves in two-layer flows10
Blow-up of solutions to the Keller–Segel model with tensorial flux in high dimensions10
Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption10
A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative10
On well-posedness of Navier–Stokes variational inequalities10
Stationary distribution and extinction of a stochastic generalized SEI epidemic model with Ornstein–Uhlenbeck process10
Error estimate of the fast L1 method for time-fractional subdiffusion equations10
Power-series solution of the L-fractional logistic equation10
Similarity transformations and exact solutions of the (3+1)-dimensional nonlinear Schrödinger equation with spatiotemporally varying coefficients9
Variable-step numerical schemes and energy dissipation laws for time fractional Cahn–Hilliard model9
Generalization of PINNs for elliptic interface problems9
Global stability of a degenerate reaction–diffusion host-pathogen model in critical case9
A note on the reliability of goal-oriented error estimates for Galerkin finite element methods with nonlinear functionals9
A locking-free mixed enriched Galerkin method of arbitrary order for linear elasticity using the stress–displacement formulation9
An equivalent formulation of Sonine condition9
Groundstates for magnetic Choquard equations with critical exponential growth9
A moving finite element method for solving two-dimensional coupled Burgers’ equations at high Reynolds numbers9
QR decomposition of dual matrices and its application9
A second-order three-point difference scheme on a posteriori mesh for a singularly perturbed convection–diffusion problem9
Insights into unexpected relapse and recovery in HCV-infected patients by studying a stochastic within-host HCV model9
Parsimonious models of in-host viral dynamics and immune response9
Constrained low-rank approximation of quaternion matrices and beyond9
A sine transform-based preconditioner for the fourth-order scheme arising from multi-dimensional nonlocal Poisson equations9
Spline-oriented inter/extrapolation-based multirate schemes of higher order9
Global solutions for the system of a viscous two-fluid model9
Non-degeneracy and uniqueness of the radial solutions to a coupled k-9
A novel time-domain SCT-BEM for transient heat conduction analysis9
Lyapunov functions for some epidemic model with high risk and vaccinated class9
Error analysis of modified Runge–Kutta–Nyström methods for nonlinear second-order delay boundary value problems9
Constructing relaxation systems for lattice Boltzmann methods9
Mittag-Leffler kernel-based oversampling collocation method for fractional initial value problems with contaminated data9
Existence and multiplicity of solutions for a class of nonlinear Dirac–Bopp–Podolsky system9
A new blowup criterion for a generalized Hall-MHD system concerning the deformation tensor9
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 viscosity9
Spatially nonhomogeneous periodic patterns in a delayed predator–prey model with predator-taxis diffusion9
Analytical 3D fundamental solutions for dynamic saturated poroelasticity9
Global Marcinkiewicz estimates for p 8
Space-curved resonant solitons and interaction solutions of the (2+1)-dimensional Ito equation8
Iterative optimization method for determining optimal shape parameter in RBF-FD method8
Rotating, sliding or both?8
Novel exponential-weighted integral inequality for exponential stability analysis of time-varying delay systems8
Subdivision scheme for discrete probability measure-valued data8
Dynamical analysis of higher-order rogue waves on the various backgrounds for the reverse space–time Fokas–Lenells equation8
An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors8
A novel local semi-analytical meshless method for acoustic eigenfrequency and modal analysis8
A class of higher-order time-splitting Monte Carlo method for fractional Allen–Cahn equation8
Global attractivity of the equilibria of the diffusive SIR and SEIR epidemic models with multiple parallel infectious stages and nonlinear incidence mechanism8
A randomized Achlioptas block residual steepest descent method for large sparse overdetermined linear systems8
Gradient recovery based finite element methods for the two-dimensional quad-curl problem8
Eigenvalue problems with unbalanced growth8
Inverse problem for the nonlinear long wave runup on a plane sloping beach8
A fast parameter optimization framework for iterative solvers in linear and nonlinear systems8
Numerical algorithms using reproducing kernels for oscillatory boundary value problems8
Homoclinic solutions for a difference equation with the mean curvature operator and periodic coefficients8
Multiple-relaxation-time lattice Boltzmann model for anisotropic liquid–solid phase change8
A product integration rule on equispaced nodes for highly oscillating integrals8
Optimal convergence rate of the explicit Euler method for convection–diffusion equations8
Unique inversion of orders and potential for multi-term time fractional wave equations8
Fast and highly accurate reproducing kernels based approach for Poisson equation8
Nonexistence result for Chern–Simons–Schrödinger–Higgs system8
Editorial Board8
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