SIAM Journal on Applied Mathematics

Papers
(The median citation count of SIAM Journal on Applied Mathematics is 1. 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 2021-09-01 to 2025-09-01.)
ArticleCitations
Vaccinating According to the Maximal Endemic Equilibrium Achieves Herd Immunity58
Addressing Complex Boundary Conditions of Miscible Flow and Transport in Two and Three Dimensions with Application to Optimal Control42
Dissipation of Traffic Jams Using a Single Autonomous Vehicle on a Ring Road41
A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics30
A Stochastic Framework for Atomistic Fracture27
Diffraction by a Right-Angled No-Contrast Penetrable Wedge Revisited: A Double Wiener--Hopf Approach27
Construction and Numerical Assessment of Local Absorbing Boundary Conditions for Heterogeneous Time-Harmonic Acoustic Problems20
Modelling of Initially Stressed Solids: Structure of the Energy Density in the Incompressible Limit19
Detecting and Resetting Tipping Points to Create More HIV Post-Treatment Controllers with Bifurcation and Sensitivity Analysis18
Fast Solver for Diffusive Transport Times on Dynamic Intracellular Networks16
A New Monotonicity for Principal Eigenvalues with Applications to Time-Periodic Patch Models16
Analysis and Simulation of a Nonlocal Gray–Scott Model16
Qualitative and Numerical Aspects of a Motion of a Family of Interacting Curves in Space16
Wobbling of Pedestrian Bridges16
Generalized Schwarz Integral Formulas for Multiply Connected Domains15
Analysis of a Toy Model for Optimal Crop Protection15
High Spots for the Ice-Fishing Problem with Surface Tension15
Reconstruction of an Interface Between the Fluid and Piezoelectric Solid by Acoustic Measurements14
Nonlinear Monotone Energy Stability of Plane Shear Flows: Joseph or Orr Critical Thresholds?13
Spectral Diffusion of MMT Model with Condensate in Two or Higher Dimensions12
Acoustics of a Partially Partitioned Narrow Slit Connected to a Half-Plane: Case Study for Exponential Quasi-Bound States in the Continuum and their Resonant Excitation12
Optimizing Noisy Complex Systems Liable to Failure11
Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation11
Robustness of Solutions of Almost Every System of Equations11
Applications of Mathematical Programming to Genetic Biocontrol11
Localization and Delocalization of Ground States of Bose--Einstein Condensates Under Disorder11
Wave Propagation On a String Resting on a General Nonlinear Substrate11
Phase Transition in a Periodic Tubular Structure11
Phase Reduction of Waves, Patterns, and Oscillations Subject to Spatially Extended Noise10
Critical Patch Size of a Two-Population Reaction Diffusion Model Describing Brain Tumor Growth10
Maxwell’s Equations with Nonlinear Inhomogeneous Constitutive Relation: Guided Waves in a Film Filled with Inhomogeneous Kerr Medium10
Pseudodifferential Models for Ultrasound Waves with Fractional Attenuation10
Large Deviations for Additive Functionals of Reflected Jump-Diffusions10
Existence and Stability of a Boundary Layer with an Interior Spike in the Singularly Perturbed Shadow Gierer–Meinhardt System10
Modeling Spatial Waves of Wolbachia Invasion for Controlling Mosquito-Borne Diseases9
Fixation Dynamics on Multilayer Networks9
Selection Mechanism in Non-Newtonian Saffman–Taylor Fingers9
Bifurcation Analysis in a Tumor-Immune System Interaction Model with Dendritic Cell Therapy and Immune Response Delay9
A Two-Way Coupled Model of Visco-Thermo-Acoustic Effects in Photoacoustic Trace Gas Sensors9
On a Spatial Mosquito-Borne Disease Model with Density-Dependent Dispersal9
An Exact Stochastic Simulation Method for Fractional Order Compartment Models9
Geometry-Based Approximation of Waves in Complex Domains8
Dynamics of a Reaction-Diffusion SIS Epidemic Model with a Control Zone8
Iteratively Adaptive Identification of Parameters Solely Using Short-Term Data of Transient Dynamics8
Extreme First Passage Times for Populations of Identical Rare Events8
Recovery of the Order of Derivation for Fractional Diffusion Equations in an Unknown Medium8
Evolution of Derivative Singularities in Hyperbolic Quasilinear Systems of Conservation Laws8
Averaging of a Stochastic Slow-Fast Model for Population Dynamics: Application to the Development of Ovarian Follicles8
Dynamic Behaviors of a Periodic System with Threshold Policy-Guided Periodic and Intermittent Therapy of Tumor8
Ellipsoidal Embeddings of Graphs8
A Novel Derivation of Rigorous Macroscopic Limits from a Micro-Meso Description of Signal-Triggered Cell Migration in Fibrous Environments7
Asymptotic and Transient Dynamics of a Stoichiometric Algal Growth Model with Two-Stage Phosphate Uptake7
Parametric Resonance for Enhancing the Rate of Metastable Transition7
Wasserstein Hamiltonian Flow with Common Noise on Graph7
Singularities of Capillary-Gravity Waves on Dielectric Fluid Under Normal Electric Fields7
Conservation Laws with Nonlocal Velocity: The Singular Limit Problem7
Modeling Electrode Heterogeneity in Lithium-Ion Batteries: Unimodal and Bimodal Particle-Size Distributions7
Jacobi Processes with Jumps as Neuronal Models: A First Passage Time Analysis7
Computation of Riesz \(\boldsymbol{\alpha }\)-Capacity \(\boldsymbol{\textrm{C}}_{\boldsymbol{\alpha}}\) of General Sets in \(\boldsymbol{\mathbb{R}}^{\boldsymbol{d}}\) Using Stable Random Walks7
Slow Migration of Brine Inclusions in First-Year Sea Ice6
Wearable Data Assimilation to Estimate the Circadian Phase6
The Impact of Fear and Behavior Response to Established and Novel Diseases6
Classifying Minimum Energy States for Interacting Particles: Spherical Shells6
Quasi-three-dimensional Viscous Steady Streaming in a Rectangular Channel past a Cylinder6
Fourier Representation of the Diffusion MRI Signal Using Layer Potentials6
Tristability and Elite Control in an HIV Infection Model with Natural Killer Cells Effect and Immune Impairment6
Accumulation Time of Diffusion in a 3D Singularly Perturbed Domain6
Constitutive Relations for Granular Flow That Include the Three Flow Regimes of Chialvo et al.6
Mathematical Models for Nonlinear Ultrasound Contrast Imaging with Microbubbles6
Calculation of Expected Reward Rate in a Two-Alternative Decision Process6
Linearized Calderón Problem: Reconstruction of Unbounded Perturbations in Three Dimensions6
Dirac Points for the Honeycomb Lattice with Impenetrable Obstacles6
Mean Field Analysis of Hypergraph Contagion Models5
Fractal and Hurst Effects in Solenoidal and Irrotational Vector Random Fields5
Asymptotic Relaxation of Moment Equations for a Multi-species, Homogeneous BGK Model5
Dissipative Dynamics of Volterra Disclinations5
Frame Hydrodynamics of Biaxial Nematics from Molecular-Theory-Based Tensor Models5
Contact Adapting Electrode Model for Electrical Impedance Tomography5
Signal Reconstruction from Phase-Only Measurements: Uniqueness Condition, Minimal Measurement Number and Beyond5
Bifurcation-Induced Species Coexistence in a Stage-Structured Intraguild Predation Model5
Tangential Cone Condition for the Full Waveform Forward Operator in the Viscoelastic Regime: The Nonlocal Case5
Continuous and Discrete Baroclinic Modes in Continuously Varying Stratification5
Viscous Regularization of the MHD Equations5
Far-from-Equilibrium Traveling Pulses in Sloped Semiarid Environments Driven by Autotoxicity Effects5
Uniform Asymptotic Approximations for the Phase Plane Trajectories of the SIR Model with Vital Dynamics5
Simultaneous Reconstruction of Optical and Acoustical Properties in Photoacoustic Imaging Using Plasmonics5
Resource-Driven Pattern Formation in Consumer-Resource Systems with Asymmetric Dispersal on a Plane5
Defect Resonances of Truncated Crystal Structures5
Modularity Maximization for Graphons5
Optimal Epidemic Control by Social Distancing and Vaccination of an Infection Structured by Time Since Infection: The COVID-19 Case Study5
Sliding-Mode Theory Under Feedback Constraints and the Problem of Epidemic Control5
Apodizer Design to Efficiently Couple Light into a Fiber Bragg Grating4
Local Bifurcation Analysis of Circular von-Kármán Plate with Kirchhoff Rod Boundary4
Generic Convergence to Periodic Orbits for Monotone Flows with Respect to 2-Cones and Applications to SEIRS Models4
Coarse-Grained Stochastic Model of Myosin-Driven Vesicles into Dendritic Spines4
Pattern Formation and Oscillations in Nonlinear Random Walks on Networks4
Analysis of the Lévy Flight Foraging Hypothesis in \(\mathbb{R}^{n}\) and Unreliability of the Most Rewarding Strategies4
On Geometrical Properties of Electromagnetic Transmission Eigenfunctions and Artificial Mirage4
Tipping Points in Seed Dispersal Mutualism Driven by Environmental Stochasticity4
The KP Equation of Plane Elastodynamics4
On A Transient Nonlinear One-Dimensional Reaction-Diffusion Equation with A Point-Source Initial Condition4
An Inversion Scheme for Elastic Diffraction Tomography Based on Mode Separation4
The Repulsion Property in Nonlinear Elasticity and a Numerical Scheme to Circumvent It4
Instability of Hysteretic Phase Interfaces in a Mean-Field Model with Inhomogeneities4
Modeling and Optimal Control of a Two-Species Bioproducing Microbial Consortium4
Path Integration and the Structural Sensitivity Problem in Partially Specified Biological Models4
On the Identifiability of Nonlocal Interaction Kernels in First-Order Systems of Interacting Particles on Riemannian Manifolds4
Finite Amplitude Analysis of Poiseuille Flow in Fluid Overlying Porous Domain4
Geometric Theory of Distribution Shapes for Autoregulatory Gene Circuits3
Near-Exact Radiating Fins via Boundary Tracing3
Realistic Pattern Formations on Surfaces by Adding Arbitrary Roughness3
Periodic Dynamics of a Reaction-Diffusion-Advection Model with Michaelis–Menten Type Harvesting in Heterogeneous Environments3
Local Perception and Learning Mechanisms in Resource-Consumer Dynamics3
Mathematical Modeling and Solution Landscape Reveal Cancer Progression Dynamics in Tumor Ecological Microenvironment3
Splitting Reactions Preserves Nondegenerate Behaviors in Chemical Reaction Networks3
Global Dynamics and Pattern Formation in a Diffusive Population-Toxicant Model with Negative Toxicant-Taxis3
Phase Separation in Systems of Interacting Active Brownian Particles3
Multiplicity of Endemic Equilibria for a Diffusive SIS Epidemic Model with Mass-Action3
Long-Time Dynamics of a Competition Model with Nonlocal Diffusion and Free Boundaries: Chances of Successful Invasion3
Computational Translation Framework Identifies Biochemical Reaction Networks with Special Topologies and Their Long-Term Dynamics3
On Spatial Cohesiveness of Second-Order Self-Propelled Swarming Systems3
Normal Forms, Differentiable Conjugacies, and Elementary Bifurcations of Maps3
Agro-Ecological Control of a Pest-Host System: Preventing Spreading3
Connecting GANs, Mean-Field Games, and Optimal Transport3
The Carleman Contraction Mapping Method for a Coefficient Inverse Problem of the Epidemiology3
Sparse Optimal Control of Pattern Formations for an SIR Reaction-Diffusion Epidemic Model3
Localization of Moving Sources: Uniqueness, Stability, and Bayesian Inference3
Inference of Interaction Kernels in Mean-Field Models of Opinion Dynamics3
Reconstruction of Multiscale Elastic Sources from Multifrequency Sparse Far Field Patterns3
An Efficient Model For Scaffold Mediated Bone Regeneration3
Transport Models for Wave Propagation in Scattering Media with Nonlinear Absorption3
Appropriate State-Dependent Friction Coefficient Accelerates Kinetic Langevin Dynamics3
A Continuous Integral Model for White Blood Cell Production3
Optimal Stochastic Control Problem for a Carbon Emission Reduction Process3
A Spatiotemporal Model for the Effects of Toxicants on Populations in a Polluted River3
Inverse Source Problems for the Stochastic Wave Equations: Far-Field Patterns3
Bayesian Experimental Design for Head Imaging by Electrical Impedance Tomography3
Modeling Floral and Arthropod Electrostatics Using a Two-Domain AAA-Least Squares Algorithm3
An Asymptotic Model for Gas-Solid Flow in a Countercurrent Moving Bed Reactor2
PB-Steric Equations: A General Model of Poisson–Boltzmann Equations2
A Gaussian Process Model for Insulin Secretion Reconstruction with Uncertainty Quantification: Applications in Cystic Fibrosis2
Modeling Electrode Heterogeneity in Lithium-Ion Batteries: Unimodal and Bimodal Particle-Size Distributions2
Paraxial Wave Propagation in Random Media with Long-Range Correlations2
Mathematical Analysis of a Subsurface Flow Model2
Infinite Energy Cavitating Solutions: A Variational Approach2
Stability and Eigenvalue Asymptotics of Multi-Dimensional Fully Magnetic Effected Piezoelectric System with Friction-Type Infinite Memory2
Discrete Inverse Method for Extracting Disease Transmission Rates from Accessible Infection Data2
Flow Measurement: An Inverse Problem Formulation2
An Asymptotic Analysis of Space Charge Layers in a Mathematical Model of a Solid Electrolyte2
Soil Searching by an Artificial Root2
Spatial Dynamics with Heterogeneity2
Dynamics of an LPAA Model for Tribolium Growth: Insights into Population Chaos2
Why Increase of Heterogeneity Signals Pre-Deterioration During Tumor Progression: A Unified Mathematical Model2
Standing Waves of Reaction-Diffusion Equations on an Unbounded Graph with Two Vertices2
Time and Energy Costs for Synchronization of Kuramoto-Oscillator Networks With or Without Noise Perturbation2
Cover Times of Many Diffusive or Subdiffusive Searchers2
One-Dimensional Ferronematics in a Channel: Order Reconstruction, Bifurcations, and Multistability2
Metropolized Forest Recombination for Monte Carlo Sampling of Graph Partitions2
Existence, Uniqueness, and Numerical Modeling of Wine Fermentation Based on Integro-Differential Equations2
A Stable Imaging Functional for Anisotropic Periodic Media in Electromagnetic Inverse Scattering2
The Combinatorial Code and the Graph Rules of Dale Networks2
Inverse Source Problem for Acoustically-Modulated Electromagnetic Waves2
The BCC Lattice in a Long-Range Interaction System2
Stability of a Nonlocal Traffic Flow Model for Connected Vehicles2
Effective Medium Theory for Embedded Obstacles in Elasticity with Applications to Inverse Problems2
Optimal Intervention Strategies for Minimizing Total Incidence During an Epidemic2
Scaling Limit of the Kuramoto Model on Random Geometric Graphs2
Analyzing and Mimicking the Optimized Flight Physics of Soaring Birds: A Differential Geometric Control and Extremum Seeking System Approach with Real Time Implementation2
An Axisymmetric Problem for a Patch Loaded Material Surface Attached to the Boundary of an Elastic Semi-space2
Global Dynamics of Reaction-Diffusion Systems with a Time-Varying Domain2
General Reconstruction of Elastic Strain Fields from their Longitudinal Ray Transform2
A New Perfectly Matched Layer Method for the Helmholtz Equation in Nonconvex Domains2
Twisted TMDs in the Small-Angle Limit: Exponentially Flat and Trivial Bands2
Diffraction of Acoustic Waves by a Wedge of Point Scatterers2
Nontrivial Traveling Waves of Phage-Bacteria Models in Different Media Types2
A Density Description of a Bounded-Confidence Model of Opinion Dynamics on Hypergraphs2
Power-Engine-Load Form for Dynamic Absolute Concentration Robustness2
On the Validity of the Tight-Binding Method for Describing Systems of Subwavelength Resonators2
KP-II Approximation for a Scalar Fermi–Pasta–Ulam System on a 2D Square Lattice2
Hypernetworks: Cluster Synchronization Is a Higher-Order Effect2
Derivation and Stability Analysis of a Macroscopic Multilane Model for Traffic Flow2
Exponential Asymptotics and Higher-Order Stokes Phenomenon in Singularly Perturbed ODEs2
A Maxwell–Ampère Nernst–Planck Framework for Modeling Charge Dynamics2
The Beavers--Joseph Interface Boundary Condition is Well Approximated by the Beavers--Joseph--Saffman--Jones Interface Boundary Condition2
Erratum: Classical and Quantum Random-Walk Centrality Measures in Multilayer Networks2
Identifying Active Anomalies in a Multilayered Medium by Passive Measurement in EIT2
Combined Field-Only Boundary Integral Equations for PEC Electromagnetic Scattering Problem in Spherical Geometries2
The Velocity Field and Birkhoff–Rott Integral for Nondecaying, Nonperiodic Vortex Sheets2
Density Fluctuations in Stochastic Kinematic Flows2
A Matrix Basis Formulation for the Dyadic Green’s Functions of Maxwell’s Equations in Layered Media2
Topological Interface Modes in Systems with Damping2
On the Dynamics of a Diffusive Foot-and-Mouth Disease Model with Nonlocal Infections2
Equivalent Formulations of the Oxygen Depletion Problem, Other Implicit Moving Boundary Value Problems, and Implications for Numerical Approximation2
Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem2
Diffraction and Interaction of Interfacial Solitons in a Two-Layer Fluid of Great Depth1
The Impact of High-Frequency-Based Stability on the Onset of Action Potentials in Neuron Models1
A Modified Landau–de Gennes Theory for Smectic Liquid Crystals: Phase Transitions and Structural Transitions1
On the Convergence Analysis of One-Shot Inversion Methods1
The Dynamics of a Collapsing Polyelectrolyte Gel1
Analysis of a Reaction-Diffusion SIR Epidemic Model with Noncompliant Behavior1
Piecewise Linear Model of Phytoplankton Wave Propagation in Periodical Vortex Flow1
Front Propagation and Arrival Times in Networks with Application to Neurodegenerative Diseases1
Tilt Grain Boundaries of Hexagonal Structures: A Spectral Viewpoint1
A Novel Approach for Locating Point Sources in a Diffusive Medium1
Stability of a Capillary Circular Cylinder between Two Parallel Cylinders1
A Route to the Hydrodynamic Limit of a Reaction-Diffusion Master Equation Using Gradient Structures1
Infinite-Thin Shock Layer Solutions for Stationary Compressible Conical Flows and Numerical Results via Fourier Spectral Method1
Estimating the Shannon Entropy and (Un)certainty Relations for Design-Structured POVMs1
Modeling Immunity to Malaria with an Age-Structured PDE Framework1
A Novel Algebraic Approach to Time-Reversible Evolutionary Models1
Global Dynamics of a Filippov SIQR Model with Delayed Relay Control1
A Bimaterial Plane with a Nano-Sized Flexible Line Inclusion on the Interface1
Mass Action Systems: Two Criteria for Hopf Bifurcation Without Hurwitz1
Probabilistic Modeling of Car Traffic Accidents1
Full Euler Equations for Waves Generated by Vertical Seabed Displacements1
First Hitting Time of a One-Dimensional Lévy Flight to Small Targets1
On the Riemann Problem for the Foam Displacement in Porous Media with Linear Adsorption1
A Two-Dimensional Swarmalator Model with Higher-Order Interactions1
Radial Amplitude Equations for Fully Localized Planar Patterns1
The Diffusive Ultrasound-Modulated Bioluminescence Tomography with Partial Data and Uncertain Optical Parameters1
Finite Population Size Effects on Optimal Communication for Social Foragers1
Similarity Suppresses Cyclicity: Why Similar Competitors Form Hierarchies1
Mathematical Analysis of Resonances for an Array of Subwavelength Annular Holes and Its Application in Superresolution Imaging1
Theoretical Analysis of Rolling Fluid Turbines1
Nematic Liquid Crystals in a Rectangular Confinement: Solution Landscape, and Bifurcation1
Circadian Regulation of Electrolyte and Water Transport in the Rat Kidney1
Two-Dimensional Sloshing: Domains with Interior “High Spots”1
A Non-Local Kinetic Model for Cell Migration: A Study of the Interplay Between Contact Guidance and Steric Hindrance1
Analysis on a Spatial SIS Epidemic Model with Saturated Incidence Function in Advective Environments: I. Conserved Total Population1
Optimal Strategy for Trail Running with Nutrition and Fatigue Factors1
Generating Customized Field Concentration via Virtual Surface Transmission Resonance1
Interactions Between Pelagic and Benthic Producers: Asymmetric Competition for Light and Nutrients1
A Stochastic Version of the Hopfield–Ninio Kinetic Proofreading Model1
An Optimal Control Problem for the Wigner Equation1
Two Novel proofs of Spectral Monotonicity of Perturbed Essentially Nonnegative Matrices with Applications in Population Dynamics1
Random Walks of Swarming on Monotonic Resource Distribution in a Landscape1
Minnaert Resonances for Bubbles in Soft Elastic Materials1
Localization of Defects Via Residence Time Measures1
Jump Conditions for Boussinesq Equations Due to an Abrupt Depth Transition1
A Quantification of Long Transient Dynamics1
Impact of Opinion Formation Phenomena in Epidemic Dynamics: Kinetic Modeling on Networks1
Mechanisms for Producing Oscillatory Plane Waves in Discrete and Continuum Models1
Neuronal Resilience and Calcium Signaling Pathways in the Context of Synapse Loss and Calcium Leaks: A Computational Modeling Study and Implications for Alzheimer’s Disease1
Stable Determination of Time-Dependent Collision Kernel in the Nonlinear Boltzmann Equation1
Reconstruction Formulae for 3D Field-Free Line Magnetic Particle Imaging1
Electro-Osmotic Flow within Multilayer Microfluidic Structures and an Algebraic Framework for Hydrodynamic Cloaking and Shielding1
Sensitivity of Steady States in Networks with Application to Markov Chains and Chemical Reaction Networks1
Joint Impact of Maturation Delay and Fear Effect on the Population Dynamics of a Predator-Prey System1
A Numerical Scheme and Validation of the Asymptotic Energy Release Rate Formula for a 2D Gel Thin-Film Debonding Problem1
Bifurcation Analysis of a Stochastic Phytoplankton Growth Model Under Photoinhibition1
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