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ORCIDFoundations of Computational Mathematics, Volume 20
Volume 20, Number 1, February 2020
- Philippe Chartier, Mohammed Lemou, Florian Méhats, Gilles Vilmart
:
A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations. 1-33 - Robert I. McLachlan, Ari Stern:
Multisymplecticity of Hybridizable Discontinuous Galerkin Methods. 35-69 - Peter Bürgisser, Felipe Cucker, Josué Tonelli-Cueto:
Computing the Homology of Semialgebraic Sets. I: Lax Formulas. 71-118 - Damek Davis, Dmitriy Drusvyatskiy, Sham M. Kakade, Jason D. Lee:
Stochastic Subgradient Method Converges on Tame Functions. 119-154 - Motonobu Kanagawa, Bharath K. Sriperumbudur, Kenji Fukumizu:
Convergence Analysis of Deterministic Kernel-Based Quadrature Rules in Misspecified Settings. 155-194
Volume 20, Number 2, April 2020
- Vidit Nanda:
Local Cohomology and Stratification. 195-222 - Ankit Garg, Leonid Gurvits, Rafael Mendes de Oliveira, Avi Wigderson:
Operator Scaling: Theory and Applications. 223-290 - Carlos Beltrán, Khazhgali Kozhasov:
The Real Polynomial Eigenvalue Problem is Well Conditioned on the Average. 291-309 - Marek Filakovský, Lukás Vokrínek:
Are Two Given Maps Homotopic? An Algorithmic Viewpoint. 311-330 - Mark Giesbrecht, Joseph Haraldson, Erich L. Kaltofen:
Computing Approximate Greatest Common Right Divisors of Differential Polynomials. 331-366
Volume 20, Number 3, June 2020
- Shuyang Ling, Thomas Strohmer:
Certifying Global Optimality of Graph Cuts via Semidefinite Relaxation: A Performance Guarantee for Spectral Clustering. 367-421 - Andrii Dmytryshyn, Stefan Johansson, Bo Kågström, Paul Van Dooren:
Geometry of Matrix Polynomial Spaces. 423-450 - Cong Ma, Kaizheng Wang, Yuejie Chi, Yuxin Chen:
Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind Deconvolution. 451-632
Volume 20, Number 4, August 2020
- Sarah Dean, Horia Mania, Nikolai Matni, Benjamin Recht, Stephen Tu:
On the Sample Complexity of the Linear Quadratic Regulator. 633-679 - Guillaume Chèze, Thierry Combot:
Symbolic Computations of First Integrals for Polynomial Vector Fields. 681-752 - Dima Grigoriev, Vladimir V. Podolskii:
Tropical Combinatorial Nullstellensatz and Sparse Polynomials. 753-781 - Thomas Markwig, Yue Ren:
Computing Tropical Varieties Over Fields with Valuation. 783-800 - Qiang Du, Xiaochuan Tian:
Mathematics of Smoothed Particle Hydrodynamics: A Study via Nonlocal Stokes Equations. 801-826 - Nicolás García Trillos, Moritz Gerlach, Matthias Hein, Dejan Slepcev:
Error Estimates for Spectral Convergence of the Graph Laplacian on Random Geometric Graphs Toward the Laplace-Beltrami Operator. 827-887 - Klas Modin, Milo Viviani:
Lie-Poisson Methods for Isospectral Flows. 889-921 - Eduard Feireisl, Mária Lukácová-Medvid'ová, Hana Mizerová:
Convergence of Finite Volume Schemes for the Euler Equations via Dissipative Measure-Valued Solutions. 923-966
Volume 20, Number 5, October 2020
- Bogdan Batko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner:
Linking Combinatorial and Classical Dynamics: Conley Index and Morse Decompositions. 967-1012 - Clément Maria, Jonathan Spreer:
A Polynomial-Time Algorithm to Compute Turaev-Viro Invariants $\mathrm {TV}_{4, q}$ of 3-Manifolds with Bounded First Betti Number. 1013-1034 - Charles Fefferman, Sergei Ivanov, Yaroslav Kurylev, Matti Lassas, Hariharan Narayanan:
Reconstruction and Interpolation of Manifolds. I: The Geometric Whitney Problem. 1035-1133 - Kathlén Kohn, Kristian Ranestad:
Projective Geometry of Wachspress Coordinates. 1135-1173 - Markus Bachmayr, Vladimir A. Kazeev:
Stability of Low-Rank Tensor Representations and Structured Multilevel Preconditioning for Elliptic PDEs. 1175-1236 - Håvard Bakke Bjerkevik, Magnus Bakke Botnan, Michael Kerber:
Computing the Interleaving Distance is NP-Hard. 1237-1271 - Laurent Baratchart, Cristobal Villalobos Guillén, Douglas P. Hardin, Michael Carr Northington, Edward B. Saff:
Inverse Potential Problems for Divergence of Measures with Total Variation Regularization. 1273-1307 - Samuel Lanthaler, Siddhartha Mishra:
On the Convergence of the Spectral Viscosity Method for the Two-Dimensional Incompressible Euler Equations with Rough Initial Data. 1309-1362
Volume 20, Number 6, December 2020
- Robert I. McLachlan, Christian Offen:
Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation. 1363-1400 - Umberto Biccari, Aurora Marica, Enrique Zuazua:
Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation. 1401-1438 - Martin Lotz, Vanni Noferini:
Wilkinson's Bus: Weak Condition Numbers, with an Application to Singular Polynomial Eigenproblems. 1439-1473 - Nilima Nigam, Bartlomiej Siudeja, Benjamin Young:
A Proof via Finite Elements for Schiffer's Conjecture on a Regular Pentagon. 1475-1504 - Assyr Abdulle, Timothée Pouchon:
Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales. 1505-1547 - L. Robert Hocking, Thomas Holding, Carola-Bibiane Schönlieb:
Analysis of Artifacts in Shell-Based Image Inpainting: Why They Occur and How to Eliminate Them. 1549-1651 - Heinz H. Bauschke, Walaa M. Moursi:
On the Minimal Displacement Vector of Compositions and Convex Combinations of Nonexpansive Mappings. 1653-1666 - Peter Bürgisser:
Correction To: The Complexity of Factors of Multivariate Polynomials. 1667-1668
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