SIAM Review

Article	Citations
DeepXDE: A Deep Learning Library for Solving Differential Equations	679
The Why, How, and When of Representations for Complex Systems	115
Modern Koopman Theory for Dynamical Systems	114
Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes	105
Understanding Graph Embedding Methods and Their Applications	64
Stochastic Control Liaisons: Richard Sinkhorn Meets Gaspard Monge on a Schrödinger Bridge	38
What Are Higher-Order Networks?	33
Computing Spectral Measures of Self-Adjoint Operators	20
Vandermonde with Arnoldi	20
Industry-Relevant Implicit Large-Eddy Simulation of a High-Performance Road Car via Spectral/hp Element Methods	19
Proximal Splitting Algorithms for Convex Optimization: A Tour of Recent Advances, with New Twists	16
Stationary Distributions of Continuous-Time Markov Chains: A Review of Theory and Truncation-Based Approximations	16
Persistent Homology of Geospatial Data: A Case Study with Voting	16
Improving the Accuracy of the Trapezoidal Rule	13
Marginal Likelihood Computation for Model Selection and Hypothesis Testing: An Extensive Review	13
Exactness of Quadrature Formulas	13
Coupling Techniques for Nonlinear Ensemble Filtering	13
Scalable Load Balancing in Networked Systems: A Survey of Recent Advances	13
Randomized Reference Models for Temporal Networks	11
A Strong Law of Large Numbers for Scrambled Net Integration	11
Computation and Applications of Mathieu Functions: A Historical Perspective	10
Hypergraph Cuts with General Splitting Functions	9
Sparse Approximations with Interior Point Methods	9
Supraconservative Finite-Volume Methods for the Euler Equations of Subsonic Compressible Flow	9
What Tropical Geometry Tells Us about the Complexity of Linear Programming	7

Bilinear Optimal Control of an Advection-Reaction-Diffusion System	7
The Dynamics of Bilateral Olfactory Search and Navigation	6
A General Framework for Fractional Order Compartment Models	6
Neural ODE Control for Classification, Approximation, and Transport	5
Variance and Covariance of Distributions on Graphs	5
Flow and Elastic Networks on the ?-Torus: Geometry, Analysis, and Computation	5
Newton's Method in Mixed Precision	5
High-Dimensional Gaussian Sampling: A Review and a Unifying Approach Based on a Stochastic Proximal Point Algorithm	5
Optimization of the Mean First Passage Time in Near-Disk and Elliptical Domains in 2-D with Small Absorbing Traps	5
Learning Dynamical Systems with Side Information	4
Fluid-Structure Interaction for the Classroom: Interpolation, Hearts, and Swimming!	4
Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect?	4
Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes	4
From Circuit Complexity to Faster All-Pairs Shortest Paths	3
When Randomness Helps in Undersampling	3
LU and CR Elimination	3
Deforming $||.||_{1}$ into $||.||_{\infty}$ via Polyhedral Norms: A Pedestrian Approach	3
A Proximal Markov Chain Monte Carlo Method for Bayesian Inference in Imaging Inverse Problems: When Langevin Meets Moreau	3
How Exponentially Ill-Conditioned Are Contiguous Submatrices of the Fourier Matrix?	2
Generating Resonant and Repeated Root Solutions to Ordinary Differential Equations Using Perturbation Methods	2
Rotations in Three Dimensions	2
Lifting for Simplicity: Concise Descriptions of Convex Sets	2
Getting the Lay of the Land in Discrete Space: A Survey of Metric Dimension and Its Applications	2
Bayesian Inverse Problems Are Usually Well-Posed	2
Dimensionality Reduction via Dynamical Systems: The Case of t-SNE	2
How Many Steps Still Left to $x$*?	2
Delayed Gradient Methods for Symmetric and Positive Definite Linear Systems	2
On and Beyond Total Variation Regularization in Imaging: The Role of Space Variance	2
NeuralUQ: A Comprehensive Library for Uncertainty Quantification in Neural Differential Equations and Operators	2
Love--Lieb Integral Equations: Applications, Theory, Approximations, and Computations	2
Computed Origami Tomography	1
An Introductory Review on A Posteriori Error Estimation in Finite Element Computations	1
Surprises in a Classic Boundary-Layer Problem	1
Book Reviews	1
Chaos Game Representation	1
Hawkes Processes Modeling, Inference, and Control: An Overview	1
Some Comments on Preconditioning for Normal Equations and Least Squares	1
Analyzing Pattern Formation in the Gray--Scott Model: An XPPAUT Tutorial	1
Compartment Models with Memory	1
A Precise and Reliable Multivariable Chain Rule	1
Flow-Based Algorithms for Improving Clusters: A Unifying Framework, Software, and Performance	1
Erratum: On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics	1
Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations	1
The Network HHD: Quantifying Cyclic Competition in Trait-Performance Models of Tournaments	1
Nonlinear Perron--Frobenius Theorems for Nonnegative Tensors	1
Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach	1
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Easy Uncertainty Quantification (EasyUQ): Generating Predictive Distributions from Single-Valued Model Output	0
Minimizing the Repayment Cost of Federal Student Loans	0
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Convex Relaxation of Discrete Vector-Valued Optimization Problems	0
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Are Adaptive Galerkin Schemes Dissipative?	0
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The One-Dimensional Version of Peixoto's Structural Stability Theorem: A Calculus-Based Proof	0
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A Benchmark for the Bayesian Inversion of Coefficients in Partial Differential Equations	0
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The Role of Directionality, Heterogeneity, and Correlations in Epidemic Risk and Spread	0
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A Generalized Dual Transform: Linear Algebra and Geometry of (Pseudo)Inverting a Matrix	0
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Resonantly Forced ODEs and Repeated Roots	0
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Improbability of Collisions of Point-Vortices in Bounded Planar Domains	0
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Incorporating Computational Challenges into a Multidisciplinary Course on Stochastic Processes	0
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Hamiltonicity of Cubic Planar Graphs with Bounded Face Sizes	0
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Hysteresis and Stability	0
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Approaches toward Understanding Delay-Induced Stability and Instability	0
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Piecewise Smooth Models of Pumping a Child's Swing	0
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Education	0
Nesterov's Method for Convex Optimization	0
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A Simple Formula for the Generalized Spectrum of Second Order Self-Adjoint Differential Operators	0
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Bump Attractors and Waves in Networks of Leaky Integrate-and-Fire Neurons	0
The Reflection Method for the Numerical Solution of Linear Systems	0
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A Mathematical Model for the Origin of Name Brands and Generics	0

A Comprehensive Proof of Bertrand's Theorem

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