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 2022-08-01 to 2026-08-01.)
ArticleCitations
Sampling Rates for $$\ell ^1$$-Synthesis49
BGG Sequences with Weak Regularity and Applications28
Preface25
Doubly Regularized Entropic Wasserstein Barycenter23
Potential Singularity of the 3D Euler Equations in the Interior Domain23
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method22
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays17
Learning Time-Scales in Two-Layers Neural Networks15
Multigrid Monte Carlo Revisited: Theory and Bayesian Inference15
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array14
Covering Number of Real Algebraic Varieties and Beyond: Improved Bounds and Applications14
Symbolic Summation of Multivariate Rational Functions14
Time Splitting and Error Estimates for Nonlinear Schrödinger Equations with a Potential13
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation13
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data13
Spectrally Accurate Fully Discrete Schemes for Some Nonlocal and Nonlinear Integrable PDEs via Explicit Formulas12
Stability of 2-Parameter Persistent Homology11
Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization10
Quantitative Convergence of a Discretization of Dynamic Optimal Transport Using the Dual Formulation10
Gabor Phase Retrieval via Semidefinite Programming10
Analysis of Langevin Monte Carlo from Poincaré to Log-Sobolev9
A Construction of $$C^r$$ Conforming Finite Element Spaces in Any Dimension9
Stable Spectral Methods for Time-Dependent Problems and the Preservation of Structure9
A Local Nearly Linearly Convergent First-Order Method for Nonsmooth Functions with Quadratic Growth9
Crouzeix-Raviart elements on simplicial meshes in d dimensions9
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic9
An Atlas for the Pinhole Camera9
Most Probable Paths for Anisotropic Brownian Motions on Manifolds8
Mathematics of 2-Dimensional Lattices8
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow7
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
Correction to: Conormal Spaces and Whitney Stratifications7
Uniform Distribution via Lattices: From Point Sets to Sequences7
Interval Decomposition of Persistence Modules over a Principal Ideal Domain7
Riemann-Oracle: A general-purpose Riemannian optimizer to solve nearness problems in matrix theory7
Optimal Approximation of Unique Continuation6
From Kernel Methods to Neural Networks: A Unifying Variational Formulation6
Group-Invariant Max Filtering6
Local Space-Preserving Decompositions for the Bubble Transform6
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints6
Communication Lower Bounds for Nested Bilinear Algorithms via Rank Expansion of Kronecker Products6
Multi-index Sequential Monte Carlo Ratio Estimators for Bayesian Inverse problems6
Classification of Finite Groups: Recent Developements and Open Problems6
Error Analysis for 2D Stochastic Navier–Stokes Equations in Bounded Domains with Dirichlet Data6
Sum-of-Squares Relaxations for Information Theory and Variational Inference6
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