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
Potential Singularity of the 3D Euler Equations in the Interior Domain23
Doubly Regularized Entropic Wasserstein Barycenter23
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
Multigrid Monte Carlo Revisited: Theory and Bayesian Inference15
Learning Time-Scales in Two-Layers Neural Networks15
Symbolic Summation of Multivariate Rational Functions14
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
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data13
Time Splitting and Error Estimates for Nonlinear Schrödinger Equations with a Potential13
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation13
Spectrally Accurate Fully Discrete Schemes for Some Nonlocal and Nonlinear Integrable PDEs via Explicit Formulas12
Stability of 2-Parameter Persistent Homology11
Quantitative Convergence of a Discretization of Dynamic Optimal Transport Using the Dual Formulation10
Gabor Phase Retrieval via Semidefinite Programming10
Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization10
Crouzeix-Raviart elements on simplicial meshes in d dimensions9
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic9
An Atlas for the Pinhole Camera9
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
Mathematics of 2-Dimensional Lattices8
Most Probable Paths for Anisotropic Brownian Motions on Manifolds8
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
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
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
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
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