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Foundations of Computational Mathematics, Volume 21
Volume 21, Number 1, February 2021
- Joris van der Hoeven

, Grégoire Lecerf:
On the Complexity Exponent of Polynomial System Solving. 1-57 - Cristobal Rojas

, Michael Yampolsky:
Real Quadratic Julia Sets Can Have Arbitrarily High Complexity. 59-69 - Bernhard Beckermann, Mihai Putinar

, Edward B. Saff, Nikos Stylianopoulos
:
Perturbations of Christoffel-Darboux Kernels: Detection of Outliers. 71-124 - Jens Markus Melenk, Stefan A. Sauter:

Wavenumber-Explicit hp-FEM Analysis for Maxwell's Equations with Transparent Boundary Conditions. 125-241 - Edouard Pauwels, Mihai Putinar

, Jean-Bernard Lasserre
:
Data Analysis from Empirical Moments and the Christoffel Function. 243-273
Volume 21, Number 2, April 2021
- Bosu Choi, Mark A. Iwen, Felix Krahmer:

Sparse Harmonic Transforms: A New Class of Sublinear-Time Algorithms for Learning Functions of Many Variables. 275-329 - Kazufumi Ito, Christoph Reisinger, Yufei Zhang

:
A Neural Network-Based Policy Iteration Algorithm with Global H2-Superlinear Convergence for Stochastic Games on Domains. 331-374 - Philipp Petersen

, Mones Raslan, Felix Voigtländer:
Topological Properties of the Set of Functions Generated by Neural Networks of Fixed Size. 375-444 - Arnulf Jentzen

, Ryan Kurniawan:
Weak Convergence Rates for Euler-Type Approximations of Semilinear Stochastic Evolution Equations with Nonlinear Diffusion Coefficients. 445-536 - Lek-Heng Lim, Ken Sze-Wai Wong, Ke Ye

:
The Grassmannian of affine subspaces. 537-574 - J. William Helton, Igor Klep, Scott A. McCullough

, Jurij Volcic
:
Noncommutative Polynomials Describing Convex Sets. 575-611
Volume 21, Number 3, June 2021
- François Golse, Shi Jin, Thierry Paul:

On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime. 613-647 - Lukas Kiefer, Martin Storath

, Andreas Weinmann
:
Iterative Potts Minimization for the Recovery of Signals with Discontinuities from Indirect Measurements: The Multivariate Case. 649-694 - Daniele Agostini

, Carlos Améndola
, Kristian Ranestad:
Moment Identifiability of Homoscedastic Gaussian Mixtures. 695-724 - Alexander Ostermann

, Frédéric Rousset, Katharina Schratz:
Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. 725-765 - Janko Böhm, Wolfram Decker, Anne Frühbis-Krüger

, Franz-Josef Pfreundt, Mirko Rahn, Lukas Ristau:
Towards Massively Parallel Computations in Algebraic Geometry. 767-806 - Andrea Bressan

, Tom Lyche:
Local Approximation from Spline Spaces on Box Meshes. 807-848 - Christopher Kacwin, Jens Oettershagen, Mario Ullrich

, Tino Ullrich:
Numerical Performance of Optimized Frolov Lattices in Tensor Product Reproducing Kernel Sobolev Spaces. 849-889
Volume 21, Number 4, August 2021
- Augustin Cosse, Laurent Demanet:

Stable Rank-One Matrix Completion is Solved by the Level 2 Lasserre Relaxation. 891-940 - Michael Unser

:
A Unifying Representer Theorem for Inverse Problems and Machine Learning. 941-960 - Evan S. Gawlik

, François Gay-Balmaz
:
A Variational Finite Element Discretization of Compressible Flow. 961-1001 - Maria Chiara Brambilla

, Giovanni Staglianò:
Algebraic Boundaries Among Typical Ranks for Real Binary Forms of Arbitrary Degree. 1003-1022 - Andrea Guidolin

, Ana Romero
:
Computing Higher Leray-Serre Spectral Sequences of Towers of Fibrations. 1023-1074 - Yakov Berchenko-Kogan, Ari Stern:

Constraint-Preserving Hybrid Finite Element Methods for Maxwell's Equations. 1075-1098 - Robert J. Berman:

Convergence Rates for Discretized Monge-Ampère Equations and Quantitative Stability of Optimal Transport. 1099-1140 - David Krieg

, Mario Ullrich
:
Function Values Are Enough for L2-Approximation. 1141-1151
Volume 21, Number 5, October 2021
- Yakov Berchenko-Kogan:

Duality in Finite Element Exterior Calculus and Hodge Duality on the Sphere. 1153-1180 - Robert Beinert

, Kristian Bredies
:
Tensor-Free Proximal Methods for Lifted Bilinear/Quadratic Inverse Problems with Applications to Phase Retrieval. 1181-1232 - Peter Bubenik

, Nikola Milicevic
:
Homological Algebra for Persistence Modules. 1233-1278 - Peter Bürgisser, Felipe Cucker, Josué Tonelli-Cueto:

Computing the Homology of Semialgebraic Sets. II: General Formulas. 1279-1316 - Hsi-Wei Hsieh, Nicolas Charon

:
Metrics, Quantization and Registration in Varifold Spaces. 1317-1361 - Yairon Cid-Ruiz

, Roser Homs
, Bernd Sturmfels:
Primary Ideals and Their Differential Equations. 1363-1399 - Joackim Bernier

:
Exact Splitting Methods for Semigroups Generated by Inhomogeneous Quadratic Differential Operators. 1401-1439 - Ulrich Bauer

, Claudia Landi
, Facundo Mémoli:
The Reeb Graph Edit Distance is Universal. 1441-1464
Volume 21, Number 6, December 2021
- Ronny Bergmann

, Roland Herzog
, Maurício Silva Louzeiro
, Daniel Tenbrinck
, José Vidal-Núñez
:
Fenchel Duality Theory and a Primal-Dual Algorithm on Riemannian Manifolds. 1465-1504 - Vasileios Charisopoulos

, Yudong Chen
, Damek Davis, Mateo Díaz, Lijun Ding, Dmitriy Drusvyatskiy:
Low-Rank Matrix Recovery with Composite Optimization: Good Conditioning and Rapid Convergence. 1505-1593 - Martin Ehler

, Manuel Gräf, Sebastian Neumayer
, Gabriele Steidl:
Curve Based Approximation of Measures on Manifolds by Discrepancy Minimization. 1595-1642 - Jianfeng Lu

, Felix Otto:
Optimal Artificial Boundary Condition for Random Elliptic Media. 1643-1702 - Riley Murray

, Venkat Chandrasekaran, Adam Wierman:
Newton Polytopes and Relative Entropy Optimization. 1703-1737 - Douglas N. Arnold

, Kaibo Hu:
Complexes from Complexes. 1739-1774

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