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 2021-05-01 to 2025-05-01.)
ArticleCitations
On Numerical Approximations of Fractional and Nonlocal Mean Field Games59
BGG Sequences with Weak Regularity and Applications24
Sampling Rates for $$\ell ^1$$-Synthesis23
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities22
A Framework for Differential Calculus on Persistence Barcodes21
Stationary Points at Infinity for Analytic Combinatorics19
Potential Singularity of the 3D Euler Equations in the Interior Domain19
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants15
Cumulant–Cumulant Relations in Free Probability Theory from Magnus’ Expansion15
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays15
Symbolic Summation of Multivariate Rational Functions13
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method13
Learning Time-Scales in Two-Layers Neural Networks13
Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds12
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation11
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array11
Stability of 2-Parameter Persistent Homology11
Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity11
A Unified Approach to Uniform Signal Recovery From Nonlinear Observations10
Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization10
The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite10
Gabor Phase Retrieval via Semidefinite Programming10
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data10
Analysis of Langevin Monte Carlo from Poincaré to Log-Sobolev10
A Construction of $$C^r$$ Conforming Finite Element Spaces in Any Dimension9
An Atlas for the Pinhole Camera9
A Local Nearly Linearly Convergent First-Order Method for Nonsmooth Functions with Quadratic Growth9
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic9
Quantitative Convergence of a Discretization of Dynamic Optimal Transport Using the Dual Formulation9
A Common Variable Minimax Theorem for Graphs9
Mathematics of 2-Dimensional Lattices8
Automorphism Groups of Certain Enriques Surfaces8
Most Probable Paths for Anisotropic Brownian Motions on Manifolds8
Stable Spectral Methods for Time-Dependent Problems and the Preservation of Structure8
Euclidean Distance Degree and Mixed Volume7
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions7
Correction to: Conormal Spaces and Whitney Stratifications7
From Kernel Methods to Neural Networks: A Unifying Variational Formulation7
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow7
Error Analysis for 2D Stochastic Navier–Stokes Equations in Bounded Domains with Dirichlet Data6
Classification of Finite Groups: Recent Developements and Open Problems6
Sum-of-Squares Relaxations for Information Theory and Variational Inference6
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints6
Optimal Approximation of Unique Continuation6
Local Space-Preserving Decompositions for the Bubble Transform6
Multi-index Sequential Monte Carlo Ratio Estimators for Bayesian Inverse problems6
Communication Lower Bounds for Nested Bilinear Algorithms via Rank Expansion of Kronecker Products6
Finite Element Systems for Vector Bundles: Elasticity and Curvature6
Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials6
Retraction Maps: A Seed of Geometric Integrators6
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