Foundations of Computational Mathematics (FoCM) will publish research and survey papers of the highest quality which further the understanding of the connections between mathematics and computation. The journal aims to promote the exploration of all fundamental issues underlying the creative tension among mathematics, computer science and application areas unencumbered by any external criteria such as the pressure for applications. The journal will thus serve an increasingly important and applicable area of mathematics. The journal hopes to further the understanding of the deep relationships between mathematical theory: analysis, topology, geometry and algebra, and the computational processes as they are evolving in tandem with the modern computer.With its distinguished editorial board selecting papers of the highest quality and interest from the international community, FoCM hopes to influence both mathematics and computation. Relevance to applications will not constitute a requirement for the publication of articles.The journal does not accept code for review however authors who have code/data related to the submission should include a weblink to the repository where the data/code is stored.
计算数学基础（FoCM）将发表最高质量的研究和调查论文，进一步了解数学和计算之间的联系。该杂志旨在促进探索数学、计算机科学和应用领域之间的创造性张力背后的所有基本问题，这些领域不受任何外部标准（如应用压力）的影响。该杂志将因此服务于一个日益重要和应用领域的数学。该杂志希望进一步理解数学理论之间的深层关系：分析、拓扑学、几何学和代数学，以及随着现代计算机的发展而发展的计算过程。FoCM的杰出编辑委员会从国际社会中挑选最高质量和最感兴趣的论文，希望对数学和计算都产生影响。与申请的相关性并不构成发表文章的要求。期刊不接受用于审查的代码，但拥有与提交相关的代码/数据的作者应包含一个指向存储数据/代码的存储库的网络链接。
Mean Estimation and Regression Under Heavy-Tailed Distributions: A Survey
来源期刊：Foundations of Computational MathematicsDOI：10.1007/S10208-019-09427-X
Semidefinite Approximations of the Matrix Logarithm
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9385-0
Stable Phase Retrieval in Infinite Dimensions
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9399-7
On Polynomial Time Methods for Exact Low-Rank Tensor Completion
来源期刊：Foundations of Computational MathematicsDOI：10.1007/S10208-018-09408-6
Tensor FEM for Spectral Fractional Diffusion
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9402-3
Stable Extrapolation of Analytic Functions
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9384-1
Efficient Methods for the Estimation of Homogenized Coefficients
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9389-9
On the Dirac–Frenkel Variational Principle on Tensor Banach Spaces
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9381-4
A Geometric Framework for Stochastic Shape Analysis
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9394-z
Probabilistic Condition Number Estimates for Real Polynomial Systems I: A Broader Family of Distributions
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9380-5
Random Bit Quadrature and Approximation of Distributions on Hilbert Spaces
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9382-3
Complexity of Sparse Polynomial Solving: Homotopy on Toric Varieties and the Condition Metric
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-007-9017-6
Lower Bounds on Matrix Factorization Ranks via Noncommutative Polynomial Optimization
来源期刊：Foundations of Computational MathematicsDOI：10.1007/S10208-018-09410-Y
A Polynomial Rate of Asymptotic Regularity for Compositions of Projections in Hilbert Space
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9377-0
Improved Complexity Bounds for Counting Points on Hyperelliptic Curves
来源期刊：Foundations of Computational MathematicsDOI：10.1007/S10208-018-9392-1
On a Randomized Backward Euler Method for Nonlinear Evolution Equations with Time-Irregular Coefficients
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-09412-w
Homological Algebra for Persistence Modules
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-020-09482-9
Solving Equations of Random Convex Functions via Anchored Regression
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9401-4
Second-Order Models for Optimal Transport and Cubic Splines on the Wasserstein Space
来源期刊：Foundations of Computational MathematicsDOI：10.1007/S10208-019-09425-Z
Linear Differential Equations as a Data Structure
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-09411-x
Orthogonal Structure on a Wedge and on the Boundary of a Square
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9393-0
Correction to: On the Stability and Accuracy of Least Squares Approximations
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9397-9
Computing the Homology of Semialgebraic Sets. II: General Formulas
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-020-09483-8
Rational Invariants of Even Ternary Forms Under the Orthogonal Group
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9404-1
On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-020-09470-z
On the Number of Face-Connected Components of Morton-Type Space-Filling Curves
来源期刊：Foundations of Computational MathematicsDOI：10.1007/S10208-018-9400-5
Variational Discretizations of Gauge Field Theories Using Group-Equivariant Interpolation
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-019-09420-4
Optimization Based Methods for Partially Observed Chaotic Systems
来源期刊：Foundations of Computational MathematicsDOI：10.1007/S10208-018-9388-X
Unified Convergence Analysis of Numerical Schemes for a Miscible Displacement Problem
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9387-y
Learning Semidefinite Regularizers
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9386-z
When is a Polynomial Ideal Binomial After an Ambient Automorphism?
来源期刊：Foundations of Computational MathematicsDOI：10.1007/S10208-018-9405-0
Effective Power Series Computations
来源期刊：Foundations of Computational MathematicsDOI：10.1007/S10208-018-9391-2
On the Exactness of Lasserre Relaxations and Pure States Over Real Closed Fields
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9406-z
Exact Splitting Methods for Semigroups Generated by Inhomogeneous Quadratic Differential Operators
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-020-09487-4
Interpolation, the Rudimentary Geometry of Spaces of Lipschitz Functions, and Geometric Complexity
来源期刊：Foundations of Computational MathematicsDOI：10.1007/S10208-019-09416-0
Complexity of Sparse Polynomial Solving: Homotopy on Toric Varieties and the Condition Metric
来源期刊：Foundations of Computational MathematicsDOI：10.1007/S10208-018-9375-2
Volumes for $${\\mathrm{SL}}_N({\\mathbb {R}})$$SLN(R), the Selberg Integral and Random Lattices
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9376-1
Correction to: Finite Element Approximation of the Spectrum of the Curl Operator in a Multiply Connected Domain
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9403-2
Complexity Classes and Completeness in Algebraic Geometry
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9383-2
Real Quadratic Julia Sets Can Have Arbitrarily High Complexity
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-020-09457-w
Correction to: On Post-Lie Algebras, Lie–Butcher Series and Moving Frames
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-018-9398-8
Tensor-Free Proximal Methods for Lifted Bilinear/Quadratic Inverse Problems with Applications to Phase Retrieval
来源期刊：Foundations of Computational MathematicsDOI：10.1007/s10208-020-09479-4
