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 2022-08-01 to 2026-08-01.)
ArticleCitations
Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data235
Editorial Board206
Strong comparison principle for a p-Laplace equation involving singularity and its applications182
A stochastic predator–prey eco-epidemiological model with hunting cooperation140
The existence and nonlinear stability of stationary solutions to inflow problem for a reduced gravity two and a half layer model101
Stability of periodic traveling fronts for a time–space periodic dengue transmission model93
Numerical analysis of growth-mediated autochemotactic pattern formation in self-propelling bacteria75
Editorial Board65
Global suppression and periodic change of the mosquito population in a sterile release model with delay63
Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator60
On an integrable discrete coupled nonlinear Schrödinger equation with branched dispersion: Discrete 54
Inconsistent tensor-tensor product for low-rank tensor factorization51
Global well-posedness of the Maxwell–Landau–Lifshitz equation with spin accumulation50
Periodic wave, soliton and mixed solutions for an extended Benjamin–Ono equation48
Vector rogue waves and their dynamic patterns of the coupled nonlocal nonlinear Schrödinger equations in the focusing regime47
WITHDRAWN: Innovations beyond the Classical Framework in the Dual Space 47
An energy estimate and a stabilized Lagrange–Galerkin scheme for a multiphase flow model46
Convex semi-continuous solutions of polynomial-like iterative equations45
Global solutions to 3D MHD equations with fractional dissipation43
Manifold expressions of all solutions of the Yang–Baxter-like matrix equation for rank-one matrices42
Normalized solutions for a nonlinear fractional elliptic problem with potentials41
Existence of solution for logarithmic Schrödinger equations with indefinite potentials41
Energy decay for evolution equations with glassy type memory40
Support set and unique ergodicity of stochastic KdV equation40
A novel Moore–Penrose inverse to dual quaternion matrices with applications40
Energy quadratization Runge–Kutta scheme for the conservative Allen–Cahn equation with a nonlocal Lagrange multiplier40
Two trigonometric function solutions of the mKdV equations37
Leighton–Wintner-type oscillation theorem for the discrete p(k)-Laplacian36
Extending matrix–vector framework on multiple relaxation time lattice Boltzmann method35
The Liouville theorems for 3D stationary tropical climate model in local Morrey spaces34
Analytical solution for potential flow across two circular cylinders using the BIE in conjunction with degenerate kernels of bipolar coordinates32
Restarted randomized surrounding methods for solving large linear equations32
Modified least squares estimators for Ornstein–Uhlenbeck processes from low-frequency observations32
The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation31
Extensive generalized shift-splitting preconditioner for 3 × 3 block saddle point problems31
Analysis of a higher order problem within the second gradient theory30
Interaction structures of (2+1)-dimensional Sawada–Kotera-like equation30
Positive solutions of parameter-dependent nonlocal differential equations with convolution coefficients30
Propagation properties of bright solitons generated by the complex Ginzburg–Landau equation with high-order dispersion and nonlinear gradient terms30
Strong convergence of a fully discrete finite element approximation of non-Lipschitz SPDEs with multiplicative noise30
Nontrivial solutions for indefinite Schrödinger–Poisson systems and Kirchhoff equations29
Remarks on Navier–Stokes regularity criteria in Vishik-type spaces28
Fast numerical study on spatial nonuniform grids for two-dimensional fractional coupled equations with fractional Neumann boundary conditions28
Traveling wave fronts for a discrete Nicholson’s blowflies model with two delays28
Editorial Board28
A new inexact fixed point iteration method for solving tensor absolute value equation27
On a diffusion-advection algae model with a nonlinear boundary26
On the unconditional long-time L26
The generalized eigenvalue decomposition of a dual quaternion regular matrix pencil26
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 equation25
High-order Gauss–Legendre methods admit a composition representation and a conjugate-symplectic counterpart25
Novel minimum residual MHSS iteration method for solving complex symmetric linear systems25
Predation-induced bifurcations and routes to chaos between two competing species25
The discrete modified Korteweg–de Vries equation under nonzero boundary conditions25
A second order Hamiltonian neural model25
On a Camassa–Holm type equation describing the dynamics of viscous fluid conduits25
Existence and multiplicity of solutions to a critical fourth-order elliptic equation with logarithmic perturbation25
On (p,n)25
Integrability and solutions for a fourth-order lattice Gel’fand–Dikii equation24
Computation of scattering poles using boundary integrals24
High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems24
Exact linearization and exact solutions of a generalized Thomas equation with general variable coefficients23
Regularity criteria via horizontal velocity components for 3D inhomogeneous incompressible Navier–Stokes equations with vacuum23
Polynomial approximation of derivatives through a regression–interpolation method23
Quasi-exponential stability of non-autonomous integro-differential systems with infinite delay23
Normalized solutions and bifurcation for fractional Schrödinger equation with linear potential23
Global stability and Hopf bifurcation of networked respiratory disease model with delay22
Tipping time in a stochastic phosphorus dynamics model22
The finite element method for modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem22
Dynamics of a stochastic reaction–diffusion HIV/AIDS model on scale-free networks21
Integrable matrix nonlinear Schrödinger equations with reduced Lax pairs of AKNS type21
Multiple-distribution-function lattice Boltzmann method for one-dimensional Euler Equations21
Inhomogeneity, magnetic auto-Bäcklund transformations and magnetic solitons for a generalized variable-coefficient Kraenkel-Manna-Merle system in a deformed ferrite21
On a two-component Camassa–Holm equation21
Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality21
Decay estimate of the viscoelastic plate with type II heat conduction in the whole space21
Global W2,δ estimates for the Monge-Ampère equation20
Multiple-high-order pole solutions for the NLS equation with quartic terms20
Editorial Board20
About stability of a mathematical model of Glassy-winged Sharpshooter population under Poisson’s jumps19
Global existence for the periodic deformed Hunter–Saxton equation19
Global weak solutions of a macroscopic model of traffic flow with a source19
Optimal decay of critical derivative for a two-dimensional chemotaxis-shallow water system19
A short note on the Painlevé XXV–Ermakov equation19
Editorial Board19
Nonexistence of Hölder continuous solution for the Camassa–Holm equation in Besov spaces19
An effective operator splitting scheme for two-dimensional conservative nonlocal Allen–Cahn equation19
A weighted gradient model with total variation regularization for multi-focus image fusion19
Explicit exponential algorithms for two-dimensional charged-particle dynamics with non-homogeneous electromagnetic fields19
On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in 19
Dynamics analysis of a stochastic regime-switching transmission model with governmental policy19
Editorial Board18
Normalized ground states for a Hardy–Littlewood–Sobolev upper critical Schrödinger equation with double Choquard type nonlinear terms18
A novel (218
N-soliton asymptotic analysis on the Gerdjikov–Ivanov equation for th18
Balanced Euler methods for the strong approximation of stochastic Volterra integral equations18
Maximum bound principle preserving and mass conservative projection method for the conservative Allen–Cahn equation17
Boundedness and exponential stabilization for time–space fractional parabolic–elliptic Keller–Segel model in higher dimensions17
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system17
New wave breaking in the unidirectional non-local wave model17
On reconstruction of small sources from Cauchy data at a fixed frequency17
Retraction notice to “Analysis on the motion of nonlinear vibration with fractional order and time variable mass” [Appl. Math. Lett. 124 (2022) 107621]17
A POD based reduced-order local RBF collocation approach for time-dependent nonlocal diffusion problems17
Preserving-periodic Riemannian descent model reduction of linear discrete-time periodic systems with isometric vector transport on product manifolds17
Infinitely many smooth nodal solutions for Orlicz Robin problems17
Large time decay rates of the two-dimensional magneto-micropolar fluids with zero angular viscosity17
Wasserstein convergence of invariant measures for fractional stochastic reaction–diffusion equations on unbounded domains16
On the uniqueness of 3-D inhomogeneous viscous incompressible magnetohydrodynamic equations with bounded density16
Long-term dynamics of a Gompertz-type population model driven by fractional Brownian motion16
AAA rational approximation for time domain model order reduction16
Note on stability of an abstract coupled hyperbolic-parabolic system: Singular case16
A note on generalized exponential stability of impulsive stochastic functional differential equations16
A note on sufficient conditions of asymptotic stability in distribution of stochastic differential equations with 15
A note on the global dynamics for a diffusive foot-and-mouth disease model15
A class of iterative functional fractional differential equation on infinite interval15
Energy equality of the weak solutions to Navier–Stokes equations in the multiplier spaces15
Large-time behavior of the energy to the isentropic compressible Navier–Stokes equations with vacuum15
Sign-changing solutions for Schrödinger–Poisson system with p-Laplacian in 15
Constrained mock-Chebyshev least squares quadrature15
A Trudinger–Moser type inequality in a strip and applications15
Stochastic stability and stationary probability density analysis for a nutrient–phytoplankton model with multiplicative and additive noises15
Modeling the impact of directional movement on mosquito population suppress14
Infinitely many positive periodic solutions for second order functional differential equations14
Ground state solution of Schrödinger–Bopp–Podolsky system in the mass subcritical case14
The slightly compressible Brinkman-Forcheimer equations and its incompressible approximation14
Nonexistence and boundary behavior of solutions to the 14
Global smooth solutions for the Landau–Lifshitz–Bloch equation with helicity term14
Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems14
Linearly implicit conservative HDG method for the nonlinear Schrödinger equation14
Time-splitting Fourier spectral method for two-dimensional space fractional Schrödinger–Poisson-X14
Algebraic method for Eigenvalue problems of dual quaternion Hermitian matrices and its application in RGB-HSV-based face representation and recognition14
New type of multiple lump and rogue wave solutions of the (2+1)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili equation13
Normalized solutions for L213
Meshless method of solving multi-term time-fractional integro-differential equation13
Global periodic attractivity for a generalized Nicholson’s blowflies equation with delays13
Editorial Board13
Inverse scattering and soliton dynamics for the mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation13
SAV unconditional stable estimate of parallel decoupled stabilized finite element algorithm for the fully mixed Stokes–Darcy problems13
On a coupled Volterra-type lattice equation and its integrability13
An unstructured algorithm for the singular value decomposition of biquaternion matrices13
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
Nonlinear transmission exponent for boundedness of solutions to a chemotaxis system with indirect signal production13
Symmetry reduction and exact solutions of the (3+1)-dimensional nKdV-nCBS equation13
Theoretical analysis of time-reassigned synchrosqueezing wavelet transform12
Darboux transformations and exact solutions of nonlocal Kaup–Newell equations with variable coefficients12
Long-timeH1<12
Orbital stability of solitary wave solutions of a Hamiltonian PDE arising in magma dynamics12
Blow-up criteria for double-diffusive convection systems in sum spaces12
A new method for nonlinear Riesz fractional reaction-diffusion equations12
A note on the L1 discretization error for the Caputo derivative in Hölder spaces12
A priori estimates and existence of solutions to a system of nonlinear elliptic equations12
Structure preserving FEM for the perturbed wave equation of quantum mechanics12
Averaging principle for fractional stochastic differential equations with Lp convergence12
Threshold dynamics of a degenerated diffusive incubation period host–pathogen model with saturation incidence rate12
Mathematical model with unrestricted dispersion and polynomial nonlinearity12
Buoyancy and drag in Rayleigh–Taylor and Richtmyer–Meshkov linear, nonlinear and mixing dynamics12
Editorial Board12
On permanence and extinction for a nonautonomous chemostat model with delays11
Geometric programming for multilinear systems with nonsingular M11
Energy-stable port-Hamiltonian systems11
Stabilization by multiplicative Itô noise for Chafee–Infante equation in perforated domains11
Asymptotic stability of a stochastic Lotka–Volterra competition model with dispersion and Ornstein–Uhlenbeck process11
A note on polynomial-free unisolvence of polyharmonic splines at random points11
Improvements of boundedness criteria for a class of indirect chemotaxis-consumption models with signal-dependent sensitivity11
A non-existence result for periodic solutions of the relativistic pendulum with friction11
Two-sided randomized algorithms for approximate K-term t-SVD11
Error estimate of the fast L1 method for time-fractional subdiffusion equations11
Fourier beyond dispersion: Wavenumber explicit and precise accuracy of FDMs for the Helmholtz equation11
Analysis of an HIV latent infection model with cell-to-cell transmission and multiple drug classes11
Blow-up of solutions to the Keller–Segel model with tensorial flux in high dimensions11
A new blowup criterion for strong solutions of the three-dimensional isentropic compressible micropolar fluid11
Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation11
Effects of the Coriolis effect on solitary waves of the geophysical Green–Naghdi system11
Bifurcation dynamics in a stochastic population model with Beverton–Holt growth11
The Schrödinger–Born–Infeld system: Attractive case11
On 3D generalized MHD equations with different dissipation exponents11
On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator11
Energy of steady periodic equatorial water waves in two-layer flows11
On an elliptic chemotaxis system with flux limitation and subcritical signal production10
A fourth-order scheme for the exterior Helmholtz problem in polar coordinates10
Unconditionally energy-stable mapped Gegenbauer spectral Galerkin method for diffusive–viscous wave equation in unbounded domains10
In plasma physics and fluid dynamics: Symbolic computation on a (2+1)-dimensional variable-coefficient Sawada-Kotera system10
Stationary distribution and extinction of a stochastic generalized SEI epidemic model with Ornstein–Uhlenbeck process10
A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative10
Structure-preserving coupling and decoupling of port-Hamiltonian systems10
Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption10
The existence theory of solution in Sobolev space for fractional differential equations10
Dynamics of a non-autonomous Kawasaki disease model with endothelial cell injury and general functional responses10
Stability and spatiotemporal patterns of a memory-based diffusion equation with nonlocal interaction10
A note on a supercritical p-Laplacian equation with logarithmic pertur10
∂̄-dressing method for the (2+1)-dimensional Korteweg–de Vries equation10
On well-posedness of Navier–Stokes variational inequalities10
Supercloseness analysis of the linear finite element method for a singularly perturbed convection–diffusion problem on Vulanović–Bakhvalov mesh10
Scattering below the ground state of odd solutions for the focusing INLS in one dimension10
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
Computational homology to unravel the complex scar structure after a myocardial infarction10
Similarity transformations and exact solutions of the (3+1)-dimensional nonlinear Schrödinger equation with spatiotemporally varying coefficients9
A sine transform-based preconditioner for the fourth-order scheme arising from multi-dimensional nonlocal Poisson equations9
The efficient spectral Galerkin method to the phase-field models in polar geometry9
Error analysis of modified Runge–Kutta–Nyström methods for nonlinear second-order delay boundary value problems9
Groundstates for magnetic Choquard equations with critical exponential growth9
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
QR decomposition of dual matrices and its application9
Global stability of a degenerate reaction–diffusion host-pathogen model in critical case9
∂̄-dressing approach and N-soliton solutions of the general reverse-space nonlocal nonlinear Schrödinger equation9
Shifted-Legendre orthonormal method for delay heat conduction equation9
A note on the reliability of goal-oriented error estimates for Galerkin finite element methods with nonlinear functionals9
Parsimonious models of in-host viral dynamics and immune response9
Constrained low-rank approximation of quaternion matrices and beyond9
Analytical 3D fundamental solutions for dynamic saturated poroelasticity9
Lyapunov functions for some epidemic model with high risk and vaccinated class9
Existence and multiplicity of solutions for a class of nonlinear Dirac–Bopp–Podolsky system9
Global solutions for the system of a viscous two-fluid model9
A locking-free mixed enriched Galerkin method of arbitrary order for linear elasticity using the stress–displacement formulation9
Stability of 2D inviscid MHD equations with only fractional magnetic diffusion in the horizontal direction9
Spline-oriented inter/extrapolation-based multirate schemes of higher order9
Variable-step numerical schemes and energy dissipation laws for time fractional Cahn–Hilliard model9
Insights into unexpected relapse and recovery in HCV-infected patients by studying a stochastic within-host HCV model9
A moving finite element method for solving two-dimensional coupled Burgers’ equations at high Reynolds numbers9
A new blowup criterion for a generalized Hall-MHD system concerning the deformation tensor9
Inverse problem for the nonlinear long wave runup on a plane sloping beach8
Subdivision scheme for discrete probability measure-valued data8
Generalization of PINNs for elliptic interface problems8
Constructing relaxation systems for lattice Boltzmann methods8
Gradient recovery based finite element methods for the two-dimensional quad-curl problem8
A new error analysis of a linearized Euler Galerkin scheme for Schrödinger equation with cubic nonlinearity8
Rotating, sliding or both?8
A randomized Achlioptas block residual steepest descent method for large sparse overdetermined linear systems8
Existence of solutions for damped elastic inclusions with nonconvex-valued perturbations8
A free boundary problem with impulsive harvesting in small advection environment8
Eigenvalue problems with unbalanced growth8
Novel exponential-weighted integral inequality for exponential stability analysis of time-varying delay systems8
Mittag-Leffler kernel-based oversampling collocation method for fractional initial value problems with contaminated data8
Nonexistence result for Chern–Simons–Schrödinger–Higgs system8
Non-degeneracy and uniqueness of the radial solutions to a coupled k-8
Numerical algorithms using reproducing kernels for oscillatory boundary value problems8
Editorial Board8
Mass and energy conservative high-order diagonally implicit Runge–Kutta schemes for nonlinear Schrödinger equation8
Dynamical analysis of higher-order rogue waves on the various backgrounds for the reverse space–time Fokas–Lenells equation8
Fast and highly accurate reproducing kernels based approach for Poisson equation8
An equivalent formulation of Sonine condition8
A second-order three-point difference scheme on a posteriori mesh for a singularly perturbed convection–diffusion problem8
A novel time-domain SCT-BEM for transient heat conduction analysis8
On the existence of locally-defined projective interpolations8
Painlevé analysis, integrability property and multiwave interaction solutions for a new (4+1)-dimensional KdV–Calogero–Bogoyavlenkskii–Schiff equation8
Non-autonomous rational soliton bound states and dynamics in the nonlocal Gross–Pitaevskii equation with a 8
Stability and asymptotic properties of the SEQIR epidemic model8
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