Foundations of Computational Mathematics

Papers
(The TQCC of Foundations of Computational Mathematics is 6. 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
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities48
Sampling Rates for $$\ell ^1$$-Synthesis25
BGG Sequences with Weak Regularity and Applications23
Preface21
Doubly Regularized Entropic Wasserstein Barycenter21
On Numerical Approximations of Fractional and Nonlocal Mean Field Games21
Potential Singularity of the 3D Euler Equations in the Interior Domain19
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants17
Covering Number of Real Algebraic Varieties and Beyond: Improved Bounds and Applications15
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method14
Learning Time-Scales in Two-Layers Neural Networks14
Symbolic Summation of Multivariate Rational Functions13
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays13
Spectrally Accurate Fully Discrete Schemes for Some Nonlocal and Nonlinear Integrable PDEs via Explicit Formulas12
Time Splitting and Error Estimates for Nonlinear Schrödinger Equations with a Potential12
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation12
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array12
Stability of 2-Parameter Persistent Homology12
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data11
Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization10
A Local Nearly Linearly Convergent First-Order Method for Nonsmooth Functions with Quadratic Growth10
Gabor Phase Retrieval via Semidefinite Programming10
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic10
Quantitative Convergence of a Discretization of Dynamic Optimal Transport Using the Dual Formulation10
Stable Spectral Methods for Time-Dependent Problems and the Preservation of Structure9
A Construction of $$C^r$$ Conforming Finite Element Spaces in Any Dimension9
Analysis of Langevin Monte Carlo from Poincaré to Log-Sobolev9
An Atlas for the Pinhole Camera8
Crouzeix-Raviart elements on simplicial meshes in d dimensions8
Mathematics of 2-Dimensional Lattices8
Most Probable Paths for Anisotropic Brownian Motions on Manifolds8
Correction to: Conormal Spaces and Whitney Stratifications7
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow7
Riemann-Oracle: A general-purpose Riemannian optimizer to solve nearness problems in matrix theory7
Uniform Distribution via Lattices: From Point Sets to Sequences7
Interval Decomposition of Persistence Modules over a Principal Ideal Domain7
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions7
An Optimal Lower Bound for Smooth Convex Functions7
Interlacing Polynomial Method for Matrix Approximation via Generalized Column and Row Selection7
From Kernel Methods to Neural Networks: A Unifying Variational Formulation6
Local Space-Preserving Decompositions for the Bubble Transform6
Optimal Approximation of Unique Continuation6
Multi-index Sequential Monte Carlo Ratio Estimators for Bayesian Inverse problems6
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints6
Classification of Finite Groups: Recent Developements and Open Problems6
Error Analysis for 2D Stochastic Navier–Stokes Equations in Bounded Domains with Dirichlet Data6
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