Foundations of Computational Mathematics

Papers
(The TQCC of Foundations of Computational Mathematics 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 2021-11-01 to 2025-11-01.)
ArticleCitations
Sampling Rates for $$\ell ^1$$-Synthesis37
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities24
Doubly Regularized Entropic Wasserstein Barycenter19
BGG Sequences with Weak Regularity and Applications18
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants17
On Numerical Approximations of Fractional and Nonlocal Mean Field Games17
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays16
Symbolic Summation of Multivariate Rational Functions16
Learning Time-Scales in Two-Layers Neural Networks15
Covering Number of Real Algebraic Varieties and Beyond: Improved Bounds and Applications15
Potential Singularity of the 3D Euler Equations in the Interior Domain15
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation13
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method13
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array13
Time Splitting and Error Estimates for Nonlinear Schrödinger Equations with a Potential12
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data12
A Unified Approach to Uniform Signal Recovery From Nonlinear Observations10
Stability of 2-Parameter Persistent Homology10
Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization10
The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite10
Analysis of Langevin Monte Carlo from Poincaré to Log-Sobolev9
Quantitative Convergence of a Discretization of Dynamic Optimal Transport Using the Dual Formulation9
Gabor Phase Retrieval via Semidefinite Programming9
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic9
A Construction of $$C^r$$ Conforming Finite Element Spaces in Any Dimension8
A Local Nearly Linearly Convergent First-Order Method for Nonsmooth Functions with Quadratic Growth8
A Common Variable Minimax Theorem for Graphs8
Stable Spectral Methods for Time-Dependent Problems and the Preservation of Structure7
Uniform Distribution via Lattices: From Point Sets to Sequences7
An Atlas for the Pinhole Camera7
Most Probable Paths for Anisotropic Brownian Motions on Manifolds7
Interlacing Polynomial Method for Matrix Approximation via Generalized Column and Row Selection7
Mathematics of 2-Dimensional Lattices7
An Optimal Lower Bound for Smooth Convex Functions7
Correction to: Conormal Spaces and Whitney Stratifications6
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow6
Local Space-Preserving Decompositions for the Bubble Transform6
Interval Decomposition of Persistence Modules over a Principal Ideal Domain6
Riemann-Oracle: A general-purpose Riemannian optimizer to solve nearness problems in matrix theory6
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions6
Classification of Finite Groups: Recent Developements and Open Problems5
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints5
Finite Element Systems for Vector Bundles: Elasticity and Curvature5
Error Analysis for 2D Stochastic Navier–Stokes Equations in Bounded Domains with Dirichlet Data5
Multi-index Sequential Monte Carlo Ratio Estimators for Bayesian Inverse problems5
From Kernel Methods to Neural Networks: A Unifying Variational Formulation5
Optimal Approximation of Unique Continuation5
Communication Lower Bounds for Nested Bilinear Algorithms via Rank Expansion of Kronecker Products5
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