SIAM Review

Article	Citations
DeepXDE: A Deep Learning Library for Solving Differential Equations	938
Modern Koopman Theory for Dynamical Systems	166
The Why, How, and When of Representations for Complex Systems	133
Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes	127
Understanding Graph Embedding Methods and Their Applications	92
What Are Higher-Order Networks?	73
Stochastic Control Liaisons: Richard Sinkhorn Meets Gaspard Monge on a Schrödinger Bridge	53
Proximal Splitting Algorithms for Convex Optimization: A Tour of Recent Advances, with New Twists	28
Vandermonde with Arnoldi	27
Computing Spectral Measures of Self-Adjoint Operators	27
Marginal Likelihood Computation for Model Selection and Hypothesis Testing: An Extensive Review	25
Industry-Relevant Implicit Large-Eddy Simulation of a High-Performance Road Car via Spectral/hp Element Methods	25
Persistent Homology of Geospatial Data: A Case Study with Voting	20
Stationary Distributions of Continuous-Time Markov Chains: A Review of Theory and Truncation-Based Approximations	20
Scalable Load Balancing in Networked Systems: A Survey of Recent Advances	19
Coupling Techniques for Nonlinear Ensemble Filtering	18
Improving the Accuracy of the Trapezoidal Rule	16
Exactness of Quadrature Formulas	15
A General Framework for Fractional Order Compartment Models	13
Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes	13
A Strong Law of Large Numbers for Scrambled Net Integration	13
Hypergraph Cuts with General Splitting Functions	12
Computation and Applications of Mathieu Functions: A Historical Perspective	12
Randomized Reference Models for Temporal Networks	12
Neural ODE Control for Classification, Approximation, and Transport	11

Supraconservative Finite-Volume Methods for the Euler Equations of Subsonic Compressible Flow	10
Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations	10
High-Dimensional Gaussian Sampling: A Review and a Unifying Approach Based on a Stochastic Proximal Point Algorithm	10
Sparse Approximations with Interior Point Methods	9
A Proximal Markov Chain Monte Carlo Method for Bayesian Inference in Imaging Inverse Problems: When Langevin Meets Moreau	9
Bilinear Optimal Control of an Advection-Reaction-Diffusion System	9
NeuralUQ: A Comprehensive Library for Uncertainty Quantification in Neural Differential Equations and Operators	9
Variance and Covariance of Distributions on Graphs	8
Learning Dynamical Systems with Side Information	8
What Tropical Geometry Tells Us about the Complexity of Linear Programming	7
Newton's Method in Mixed Precision	7
Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect?	7
Hawkes Processes Modeling, Inference, and Control: An Overview	6
The Dynamics of Bilateral Olfactory Search and Navigation	6
Flow and Elastic Networks on the ?-Torus: Geometry, Analysis, and Computation	6
Optimization of the Mean First Passage Time in Near-Disk and Elliptical Domains in 2-D with Small Absorbing Traps	6
Getting the Lay of the Land in Discrete Space: A Survey of Metric Dimension and Its Applications	6
An Introductory Review on A Posteriori Error Estimation in Finite Element Computations	5
Bayesian Inverse Problems Are Usually Well-Posed	5
Analyzing Pattern Formation in the Gray--Scott Model: An XPPAUT Tutorial	4
Lifting for Simplicity: Concise Descriptions of Convex Sets	4
LU and CR Elimination	4
Fluid-Structure Interaction for the Classroom: Interpolation, Hearts, and Swimming!	4
Deforming $||.||_{1}$ into $||.||_{\infty}$ via Polyhedral Norms: A Pedestrian Approach	4
The Role of Directionality, Heterogeneity, and Correlations in Epidemic Risk and Spread	3
How Exponentially Ill-Conditioned Are Contiguous Submatrices of the Fourier Matrix?	3
When Randomness Helps in Undersampling	3
Nesterov's Method for Convex Optimization	3
From Circuit Complexity to Faster All-Pairs Shortest Paths	3
How Many Steps Still Left to $x$*?	3
Delayed Gradient Methods for Symmetric and Positive Definite Linear Systems	3
Rotations in Three Dimensions	3
Dimensionality Reduction via Dynamical Systems: The Case of t-SNE	2
Chaos Game Representation	2
On and Beyond Total Variation Regularization in Imaging: The Role of Space Variance	2
Are Adaptive Galerkin Schemes Dissipative?	2
Flow-Based Algorithms for Improving Clusters: A Unifying Framework, Software, and Performance	2
A Precise and Reliable Multivariable Chain Rule	2
Generating Resonant and Repeated Root Solutions to Ordinary Differential Equations Using Perturbation Methods	2
Nonlinear Perron--Frobenius Theorems for Nonnegative Tensors	2
Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach	2
Love--Lieb Integral Equations: Applications, Theory, Approximations, and Computations	2
The Network HHD: Quantifying Cyclic Competition in Trait-Performance Models of Tournaments	2
Computed Origami Tomography	1
Some Comments on Preconditioning for Normal Equations and Least Squares	1
When Data Driven Reduced Order Modeling Meets Full Waveform Inversion	1
Operator Learning Using Random Features: A Tool for Scientific Computing	1
Computational Methods for Large-Scale Inverse Problems: A Survey on Hybrid Projection Methods	1
Piecewise Smooth Models of Pumping a Child's Swing	1
Convex Relaxation of Discrete Vector-Valued Optimization Problems	1

Compartment Models with Memory	1
Survey and Review	1
Erratum: On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics	1
A Simple Formula for the Generalized Spectrum of Second Order Self-Adjoint Differential Operators	1
Surprises in a Classic Boundary-Layer Problem	1
Book Reviews	1
Dynamics of Signaling Games	0
The Poincaré Metric and the Bergman Theory	0
Survey and Review	0
Survey and Review	0
Survey and Review	0
Education	0
Education	0
SIGEST	0
Survey and Review	0
SIGEST	0
Incorporating Computational Challenges into a Multidisciplinary Course on Stochastic Processes	0
Education	0
Research Spotlights	0
Survey and Review	0
Research Spotlights	0
Research Spotlights	0
The Reflection Method for the Numerical Solution of Linear Systems	0
Research Spotlights	0
A Generalized Dual Transform: Linear Algebra and Geometry of (Pseudo)Inverting a Matrix	0
Book Reviews	0
Education	0
Combinatorial and Hodge Laplacians: Similarities and Differences	0
Education	0
Book Reviews	0
A New Version of the Adaptive Fast Gauss Transform for Discrete and Continuous Sources	0
Book Reviews	0
Survey and Review	0
Education	0
Book Reviews	0
SIGEST	0
Research Spotlights	0
SIGEST	0
SIGEST	0
Improbability of Collisions of Point-Vortices in Bounded Planar Domains	0
Bump Attractors and Waves in Networks of Leaky Integrate-and-Fire Neurons	0
SIGEST	0
The One-Dimensional Version of Peixoto's Structural Stability Theorem: A Calculus-Based Proof	0
SIGEST	0
Education	0
SIGEST	0
Research Spotlights	0
Education	0
Hamiltonicity of Cubic Planar Graphs with Bounded Face Sizes	0
Cardinality Minimization, Constraints, and Regularization: A Survey	0
SIGEST	0
Book Reviews	0
Hysteresis and Stability	0
Research Spotlights	0
Research Spotlights	0
A Benchmark for the Bayesian Inversion of Coefficients in Partial Differential Equations	0
Research Spotlights	0
Book Reviews	0
SIGEST	0
Research Spotlights	0
Education	0
Book Reviews	0
SIGEST	0
Book Reviews	0
Research Spotlights	0
Education	0
A Mathematical Model for the Origin of Name Brands and Generics	0
Research Spotlights	0
Book Reviews	0
SIGEST	0
Education	0
Education	0
Book Reviews	0
Survey and Review	0
Research Spotlights	0
Survey and Review	0
Book Reviews	0
Approaches toward Understanding Delay-Induced Stability and Instability	0
Book Reviews	0
Education	0

Education	0
Research Spotlights	0
Survey and Review	0
Nonsmooth Optimization over the Stiefel Manifold and Beyond: Proximal Gradient Method and Recent Variants	0
SIGEST	0
Survey and Review	0
A Comprehensive Proof of Bertrand's Theorem	0
SIGEST	0
Survey and Review	0
Survey and Review	0
SIGEST	0
Book Reviews	0
Minimizing the Repayment Cost of Federal Student Loans	0
Resonantly Forced ODEs and Repeated Roots	0
Research Spotlights	0
Survey and Review	0
Education	0
Persistent Homology for Resource Coverage: A Case Study of Access to Polling Sites	0
Book Reviews	0
Survey and Review	0
Easy Uncertainty Quantification (EasyUQ): Generating Predictive Distributions from Single-Valued Model Output	0