Applied Mathematics Letters

Papers
(The TQCC of Applied Mathematics Letters is 5. 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 2022-06-01 to 2026-06-01.)
ArticleCitations
Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data227
Editorial Board195
Strong comparison principle for a p-Laplace equation involving singularity and its applications171
A stochastic predator–prey eco-epidemiological model with hunting cooperation130
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 model101
The sharp time decay rates for the incompressible Phan-Thien–Tanner system with magnetic field in 94
Numerical analysis of growth-mediated autochemotactic pattern formation in self-propelling bacteria93
Modified least squares estimators for Ornstein–Uhlenbeck processes from low-frequency observations65
Editorial Board65
The Liouville theorems for 3D stationary tropical climate model in local Morrey spaces61
Global suppression and periodic change of the mosquito population in a sterile release model with delay59
Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator52
On an integrable discrete coupled nonlinear Schrödinger equation with branched dispersion: Discrete 50
Inconsistent tensor-tensor product for low-rank tensor factorization49
Periodic wave, soliton and mixed solutions for an extended Benjamin–Ono equation47
Global well-posedness of the Maxwell–Landau–Lifshitz equation with spin accumulation47
WITHDRAWN: Innovations beyond the Classical Framework in the Dual Space 45
Vector rogue waves and their dynamic patterns of the coupled nonlocal nonlinear Schrödinger equations in the focusing regime45
An energy estimate and a stabilized Lagrange–Galerkin scheme for a multiphase flow model43
Strong convergence of a fully discrete finite element approximation of non-Lipschitz SPDEs with multiplicative noise42
Energy decay for evolution equations with glassy type memory40
Normalized solutions for a nonlinear fractional elliptic problem with potentials40
Convex semi-continuous solutions of polynomial-like iterative equations40
Energy quadratization Runge–Kutta scheme for the conservative Allen–Cahn equation with a nonlocal Lagrange multiplier39
A novel Moore–Penrose inverse to dual quaternion matrices with applications39
Support set and unique ergodicity of stochastic KdV equation38
Two trigonometric function solutions of the mKdV equations37
The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation36
Leighton–Wintner-type oscillation theorem for the discrete p(k)-Laplacian35
Positive solutions of parameter-dependent nonlocal differential equations with convolution coefficients33
Extensive generalized shift-splitting preconditioner for 3 × 3 block saddle point problems32
Extending matrix–vector framework on multiple relaxation time lattice Boltzmann method32
Global solutions to 3D MHD equations with fractional dissipation31
Interaction structures of (2+1)-dimensional Sawada–Kotera-like equation31
Analysis of a higher order problem within the second gradient theory31
Maximum entropy principle approach to a non-isothermal Maxwell–Stefan diffusion model30
Manifold expressions of all solutions of the Yang–Baxter-like matrix equation for rank-one matrices30
Propagation properties of bright solitons generated by the complex Ginzburg–Landau equation with high-order dispersion and nonlinear gradient terms30
Nontrivial solutions for indefinite Schrödinger–Poisson systems and Kirchhoff equations30
Existence of solution for logarithmic Schrödinger equations with indefinite potentials29
Traveling wave fronts for a discrete Nicholson’s blowflies model with two delays28
Restarted randomized surrounding methods for solving large linear equations28
An efficient augmented approach algorithm for incompressible Stokes problems on staggered Cartesian grids28
Analytical solution for potential flow across two circular cylinders using the BIE in conjunction with degenerate kernels of bipolar coordinates28
Editorial Board27
Remarks on Navier–Stokes regularity criteria in Vishik-type spaces27
Fast numerical study on spatial nonuniform grids for two-dimensional fractional coupled equations with fractional Neumann boundary conditions27
Integrable matrix nonlinear Schrödinger equations with reduced Lax pairs of AKNS type26
A new inexact fixed point iteration method for solving tensor absolute value equation26
On the unconditional long-time L25
The generalized eigenvalue decomposition of a dual quaternion regular matrix pencil25
On a diffusion-advection algae model with a nonlinear boundary25
Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality24
Novel minimum residual MHSS iteration method for solving complex symmetric linear systems24
Multiple-high-order pole solutions for the NLS equation with quartic terms24
A second order Hamiltonian neural model24
Tipping time in a stochastic phosphorus dynamics model24
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
Editorial Board24
Exact linearization and exact solutions of a generalized Thomas equation with general variable coefficients24
The finite element method for modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem23
High-order Gauss–Legendre methods admit a composition representation and a conjugate-symplectic counterpart23
On (p,n)23
The discrete modified Korteweg–de Vries equation under nonzero boundary conditions23
Integrability and solutions for a fourth-order lattice Gel’fand–Dikii equation22
On a Camassa–Holm type equation describing the dynamics of viscous fluid conduits22
High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems22
Logarithmic type stability for the simultaneous identification of Robin coefficient and heat flux in an elliptic equation22
On a two-component Camassa–Holm equation22
Inhomogeneity, magnetic auto-Bäcklund transformations and magnetic solitons for a generalized variable-coefficient Kraenkel-Manna-Merle system in a deformed ferrite21
An effective operator splitting scheme for two-dimensional conservative nonlocal Allen–Cahn equation21
Quasi-exponential stability of non-autonomous integro-differential systems with infinite delay21
Computation of scattering poles using boundary integrals21
Decay estimate of the viscoelastic plate with type II heat conduction in the whole space21
Regularity criteria via horizontal velocity components for 3D inhomogeneous incompressible Navier–Stokes equations with vacuum20
Global stability and Hopf bifurcation of networked respiratory disease model with delay20
Polynomial approximation of derivatives through a regression–interpolation method20
About stability of a mathematical model of Glassy-winged Sharpshooter population under Poisson’s jumps20
Balanced Euler methods for the strong approximation of stochastic Volterra integral equations19
Dynamics analysis of a stochastic regime-switching transmission model with governmental policy19
A POD based reduced-order local RBF collocation approach for time-dependent nonlocal diffusion problems19
Editorial Board19
A weighted gradient model with total variation regularization for multi-focus image fusion19
Editorial Board19
Large-time behavior of the energy to the isentropic compressible Navier–Stokes equations with vacuum19
A Trudinger–Moser type inequality in a strip and applications19
A short note on the Painlevé XXV–Ermakov equation19
Note on stability of an abstract coupled hyperbolic-parabolic system: Singular case19
Dynamics analysis for the Wadati–Konno–Ichikawa(II)-short pulse equation19
Preserving-periodic Riemannian descent model reduction of linear discrete-time periodic systems with isometric vector transport on product manifolds19
Explicit exponential algorithms for two-dimensional charged-particle dynamics with non-homogeneous electromagnetic fields18
Constrained mock-Chebyshev least squares quadrature18
A note on sufficient conditions of asymptotic stability in distribution of stochastic differential equations with 18
Infinitely many smooth nodal solutions for Orlicz Robin problems18
Global existence for the periodic deformed Hunter–Saxton equation18
A novel (218
Optimal decay of critical derivative for a two-dimensional chemotaxis-shallow water system18
Retraction notice to “Analysis on the motion of nonlinear vibration with fractional order and time variable mass” [Appl. Math. Lett. 124 (2022) 107621]18
Normalized ground states for a Hardy–Littlewood–Sobolev upper critical Schrödinger equation with double Choquard type nonlinear terms18
Energy equality of the weak solutions to Navier–Stokes equations in the multiplier spaces17
New wave breaking in the unidirectional non-local wave model17
N-soliton asymptotic analysis on the Gerdjikov–Ivanov equation for th17
Long-term dynamics of a Gompertz-type population model driven by fractional Brownian motion17
AAA rational approximation for time domain model order reduction16
A note on generalized exponential stability of impulsive stochastic functional differential equations16
Maximum bound principle preserving and mass conservative projection method for the conservative Allen–Cahn equation16
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system16
On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in 16
Large time decay rates of the two-dimensional magneto-micropolar fluids with zero angular viscosity16
On reconstruction of small sources from Cauchy data at a fixed frequency16
A class of iterative functional fractional differential equation on infinite interval15
Wasserstein convergence of invariant measures for fractional stochastic reaction–diffusion equations on unbounded domains15
Global smooth solutions for the Landau–Lifshitz–Bloch equation with helicity term15
A high-order accurate multidomain Legendre–Chebyshev spectral method for 2D Maxwell’s equations in inhomogeneous media with discontinuous waves15
Boundedness and exponential stabilization for time–space fractional parabolic–elliptic Keller–Segel model in higher dimensions15
On the uniqueness of 3-D inhomogeneous viscous incompressible magnetohydrodynamic equations with bounded density15
Stochastic stability and stationary probability density analysis for a nutrient–phytoplankton model with multiplicative and additive noises14
Oscillation and asymptotic behavior of third-order nonlinear delay differential equations with positive and negative terms14
Nonexistence and boundary behavior of solutions to the 14
Infinitely many positive periodic solutions for second order functional differential equations14
A note on the global dynamics for a diffusive foot-and-mouth disease model14
Algebraic method for Eigenvalue problems of dual quaternion Hermitian matrices and its application in RGB-HSV-based face representation and recognition14
The slightly compressible Brinkman-Forcheimer equations and its incompressible approximation14
Linearly implicit conservative HDG method for the nonlinear Schrödinger equation14
Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems14
Sign-changing solutions for Schrödinger–Poisson system with p-Laplacian in 14
Averaging principle for fractional stochastic differential equations with 14
Modeling the impact of directional movement on mosquito population suppress14
Ground state solution of Schrödinger–Bopp–Podolsky system in the mass subcritical case14
New type of multiple lump and rogue wave solutions of the (2+1)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili equation13
Editorial Board13
SAV unconditional stable estimate of parallel decoupled stabilized finite element algorithm for the fully mixed Stokes–Darcy problems13
A new method for nonlinear Riesz fractional reaction-diffusion equations13
Symmetry reduction and exact solutions of the (3+1)-dimensional nKdV-nCBS equation13
Long-timeH1<13
Time-splitting Fourier spectral method for two-dimensional space fractional Schrödinger–Poisson-X13
A note on the L1 discretization error for the Caputo derivative in Hölder spaces13
On a coupled Volterra-type lattice equation and its integrability13
Theoretical analysis of time-reassigned synchrosqueezing wavelet transform13
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
Nonlinear transmission exponent for boundedness of solutions to a chemotaxis system with indirect signal production13
Meshless method of solving multi-term time-fractional integro-differential equation13
Darboux transformations and exact solutions of nonlocal Kaup–Newell equations with variable coefficients13
Structure preserving FEM for the perturbed wave equation of quantum mechanics12
Inverse scattering and soliton dynamics for the mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation12
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
On well-posedness of Navier–Stokes variational inequalities12
Two-sided randomized algorithms for approximate K-term t-SVD12
An unstructured algorithm for the singular value decomposition of biquaternion matrices12
Normalized solutions for L212
Buoyancy and drag in Rayleigh–Taylor and Richtmyer–Meshkov linear, nonlinear and mixing dynamics12
Editorial Board12
Energy-stable port-Hamiltonian systems12
Geometric programming for multilinear systems with nonsingular M12
Global periodic attractivity for a generalized Nicholson’s blowflies equation with delays12
Mathematical model with unrestricted dispersion and polynomial nonlinearity12
A priori estimates and existence of solutions to a system of nonlinear elliptic equations12
Blow-up criteria for double-diffusive convection systems in sum spaces12
The Schrödinger–Born–Infeld system: Attractive case12
On 3D generalized MHD equations with different dissipation exponents11
Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation11
On permanence and extinction for a nonautonomous chemostat model with delays11
Energy of steady periodic equatorial water waves in two-layer flows11
A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative11
Analysis of an HIV latent infection model with cell-to-cell transmission and multiple drug classes11
Dynamics of a non-autonomous Kawasaki disease model with endothelial cell injury and general functional responses11
Shifted-Legendre orthonormal method for delay heat conduction equation11
Scattering below the ground state of odd solutions for the focusing INLS in one dimension11
A new blowup criterion for strong solutions of the three-dimensional isentropic compressible micropolar fluid11
Blow-up of solutions to the Keller–Segel model with tensorial flux in high dimensions11
Bifurcation dynamics in a stochastic population model with Beverton–Holt growth11
Stabilization by multiplicative Itô noise for Chafee–Infante equation in perforated domains11
On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator11
A non-existence result for periodic solutions of the relativistic pendulum with friction11
The existence theory of solution in Sobolev space for fractional differential equations11
Stationary distribution and extinction of a stochastic generalized SEI epidemic model with Ornstein–Uhlenbeck process11
Effects of the Coriolis effect on solitary waves of the geophysical Green–Naghdi system11
Structure-preserving coupling and decoupling of port-Hamiltonian systems10
Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption10
On an elliptic chemotaxis system with flux limitation and subcritical signal production10
Fourier beyond dispersion: Wavenumber explicit and precise accuracy of FDMs for the Helmholtz equation10
Stability of 2D inviscid MHD equations with only fractional magnetic diffusion in the horizontal direction10
Supercloseness of the LDG method for a singularly perturbed convection–diffusion problem on Bakhvalov-type mesh10
Power-series solution of the L-fractional logistic equation10
A fourth-order scheme for the exterior Helmholtz problem in polar coordinates10
Supercloseness analysis of the linear finite element method for a singularly perturbed convection–diffusion problem on Vulanović–Bakhvalov mesh10
Stability and spatiotemporal patterns of a memory-based diffusion equation with nonlocal interaction10
The efficient spectral Galerkin method to the phase-field models in polar geometry10
In plasma physics and fluid dynamics: Symbolic computation on a (2+1)-dimensional variable-coefficient Sawada-Kotera system10
A note on a supercritical p-Laplacian equation with logarithmic pertur10
Improvements of boundedness criteria for a class of indirect chemotaxis-consumption models with signal-dependent sensitivity10
∂̄-dressing method for the (2+1)-dimensional Korteweg–de Vries equation10
A note on polynomial-free unisolvence of polyharmonic splines at random points10
Unconditionally energy-stable mapped Gegenbauer spectral Galerkin method for diffusive–viscous wave equation in unbounded domains10
Asymptotic stability of a stochastic Lotka–Volterra competition model with dispersion and Ornstein–Uhlenbeck process10
Error estimate of the fast L1 method for time-fractional subdiffusion equations10
∂̄-dressing approach and N-soliton solutions of the general reverse-space nonlocal nonlinear Schrödinger equation10
Computational homology to unravel the complex scar structure after a myocardial infarction10
Spline-oriented inter/extrapolation-based multirate schemes of higher order9
Non-degeneracy and uniqueness of the radial solutions to a coupled k-9
A note on the reliability of goal-oriented error estimates for Galerkin finite element methods with nonlinear functionals9
Global solutions for the system of a viscous two-fluid model9
Generalization of PINNs for elliptic interface problems9
Similarity transformations and exact solutions of the (3+1)-dimensional nonlinear Schrödinger equation with spatiotemporally varying coefficients9
Constructing relaxation systems for lattice Boltzmann methods9
A second-order three-point difference scheme on a posteriori mesh for a singularly perturbed convection–diffusion problem9
Global stability of a degenerate reaction–diffusion host-pathogen model in critical case9
Existence and multiplicity of solutions for a class of nonlinear Dirac–Bopp–Podolsky system9
A locking-free mixed enriched Galerkin method of arbitrary order for linear elasticity using the stress–displacement formulation9
Parsimonious models of in-host viral dynamics and immune response9
Constrained low-rank approximation of quaternion matrices and beyond9
Lyapunov functions for some epidemic model with high risk and vaccinated class9
Spatially nonhomogeneous periodic patterns in a delayed predator–prey model with predator-taxis diffusion9
A novel time-domain SCT-BEM for transient heat conduction analysis9
A new blowup criterion for a generalized Hall-MHD system concerning the deformation tensor9
An equivalent formulation of Sonine condition9
A sine transform-based preconditioner for the fourth-order scheme arising from multi-dimensional nonlocal Poisson equations9
Groundstates for magnetic Choquard equations with critical exponential growth9
Variable-step numerical schemes and energy dissipation laws for time fractional Cahn–Hilliard model9
Mittag-Leffler kernel-based oversampling collocation method for fractional initial value problems with contaminated data9
Error analysis of modified Runge–Kutta–Nyström methods for nonlinear second-order delay boundary value problems9
Analytical 3D fundamental solutions for dynamic saturated poroelasticity9
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
A moving finite element method for solving two-dimensional coupled Burgers’ equations at high Reynolds numbers8
Novel exponential-weighted integral inequality for exponential stability analysis of time-varying delay systems8
Fast and highly accurate reproducing kernels based approach for Poisson equation8
Multiple-relaxation-time lattice Boltzmann model for anisotropic liquid–solid phase change8
A new error analysis of a linearized Euler Galerkin scheme for Schrödinger equation with cubic nonlinearity8
Homoclinic solutions for a difference equation with the mean curvature operator and periodic coefficients8
Editorial Board8
Real solutions to an asymptotically linear Helmholtz equation8
Insights into unexpected relapse and recovery in HCV-infected patients by studying a stochastic within-host HCV model8
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 viscosity8
Subdivision scheme for discrete probability measure-valued data8
The special solutions of 2-D steady isentropic irrotational relativistic Euler system8
Optimal convergence rate of the explicit Euler method for convection–diffusion equations8
A note on a critical bi-harmonic equation with logarithmic perturbation8
Space-curved resonant solitons and interaction solutions of the (2+1)-dimensional Ito equation8
Rotating, sliding or both?8
QR decomposition of dual matrices and its application8
Global Marcinkiewicz estimates for p 8
Inverse problem for the nonlinear long wave runup on a plane sloping beach8
Dynamical analysis of higher-order rogue waves on the various backgrounds for the reverse space–time Fokas–Lenells equation8
Iterative optimization method for determining optimal shape parameter in RBF-FD method8
On the existence of locally-defined projective interpolations8
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