Journal: Foundations of Computational Mathematics

Volume 16, Issue 6

1397 -- 1399. Preface
1401 -- 1422Diego Armentano, Carlos Beltrán, Peter Bürgisser, Felipe Cucker, Michael Shub. Condition Length and Complexity for the Solution of Polynomial Systems
1423 -- 1472Markus Bachmayr, Reinhold Schneider, André Uschmajew. Tensor Networks and Hierarchical Tensors for the Solution of High-Dimensional Partial Differential Equations
1473 -- 1539Andrea Bonito, Joseé Manuel Cascon, Khamron Mekchay, Pedro Morin, Ricardo H. Nochetto. High-Order AFEM for the Laplace-Beltrami Operator: Convergence Rates
1541 -- 1553John Cremona. The L-Functions and Modular Forms Database Project
1555 -- 1605Abdul-Lateef Haji-Ali, Fabio Nobile, Lorenzo Tamellini, Raúl Tempone. Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity
1607 -- 1630Arieh Iserles. The Joy and Pain of Skew Symmetry
1631 -- 1696Frances Y. Kuo, Dirk Nuyens. Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation
1697 -- 1736Andrei Martínez-Finkelshtein, Evguenii Rakhmanov. Do Orthogonal Polynomials Dream of Symmetric Curves?
1737 -- 1749Endre Szemerédi. Structural Approach to Subset Sum Problems

Volume 16, Issue 5

1069 -- 1114Tom Duchamp, Gang Xie, Thomas Pok-Yin Yu. A Necessary and Sufficient Proximity Condition for Smoothness Equivalence of Nonlinear Subdivision Schemes
1115 -- 1150Wolfgang Carl. A Laplace Operator on Semi-Discrete Surfaces
1151 -- 1191William D. Kalies, Konstantin Mischaikow, Robert C. A. M. VanderVorst. Lattice Structures for Attractors II
1193 -- 1240Dinh Dung. Sampling and Cubature on Sparse Grids Based on a B-spline Quasi-Interpolation
1241 -- 1261Thomas Kahle, Mateusz Michalek. Plethysm and Lattice Point Counting
1263 -- 1323Ben Adcock, Anders C. Hansen. Generalized Sampling and Infinite-Dimensional Compressed Sensing
1325 -- 1366Thomas Müller-Gronbach, Larisa Yaroslavtseva. Deterministic Quadrature Formulas for SDEs Based on Simplified Weak Itô-Taylor Steps
1367 -- 1396Sjoerd Dirksen. Dimensionality Reduction with Subgaussian Matrices: A Unified Theory

Volume 16, Issue 4

813 -- 874Wolfgang Dahmen, Ronald A. DeVore, Lars Grasedyck, Endre Süli. Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations
875 -- 897Justin Curry, Robert Ghrist, Vidit Nanda. Discrete Morse Theory for Computing Cellular Sheaf Cohomology
899 -- 939Hans Z. Munthe-Kaas, Olivier Verdier. Integrators on Homogeneous Spaces: Isotropy Choice and Connections
941 -- 963Jonathan D. Hauenstein, Nickolas Hein, Frank Sottile. A Primal-Dual Formulation for Certifiable Computations in Schubert Calculus
965 -- 1029Samet Oymak, Babak Hassibi. Sharp MSE Bounds for Proximal Denoising
1031 -- 1068Ming Yuan, Cun-Hui Zhang. On Tensor Completion via Nuclear Norm Minimization

Volume 16, Issue 3

577 -- 598Ke Ye, Lek-Heng Lim. Every Matrix is a Product of Toeplitz Matrices
599 -- 635Fulvio Gesmundo, Jonathan D. Hauenstein, Christian Ikenmeyer, J. M. Landsberg. Complexity of Linear Circuits and Geometry
637 -- 675Ralf Hiptmair, Andrea Moiola, Ilaria Perugia. Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the hp-Version
677 -- 721Radu Balan. Reconstruction of Signals from Magnitudes of Redundant Representations: The Complex Case
723 -- 750Andreas Veeser. Approximating Gradients with Continuous Piecewise Polynomial Functions
751 -- 777Ernst Hairer, Arieh Iserles. Numerical Stability in the Presence of Variable Coefficients
779 -- 811Harm Derksen. On the Nuclear Norm and the Singular Value Decomposition of Tensors

Volume 16, Issue 2

329 -- 342Alexander I. Barvinok. Computing the Permanent of (Some) Complex Matrices
343 -- 367Andrea Cerri, Claudia Landi. Hausdorff Stability of Persistence Spaces
369 -- 394Ronald A. DeVore, Vladimir N. Temlyakov. Convex Optimization on Banach Spaces
395 -- 423Alexander M. Powell, J. Tyler Whitehouse. Error Bounds for Consistent Reconstruction: Random Polytopes and Coverage Processes
425 -- 455Dominikus Noll, Aude Rondepierre. On Local Convergence of the Method of Alternating Projections
457 -- 492Éric Schost, Pierre-Jean Spaenlehauer. A Quadratically Convergent Algorithm for Structured Low-Rank Approximation
493 -- 530Geir Bogfjellmo, Håkon Marthinsen. High-Order Symplectic Partitioned Lie Group Methods
531 -- 575Marcio Gameiro, Jean-Philippe Lessard, Alessandro Pugliese. Computation of Smooth Manifolds Via Rigorous Multi-parameter Continuation in Infinite Dimensions

Volume 16, Issue 1

1 -- 31Sergey Fomin, Dima Grigoriev, Gleb A. Koshevoy. Subtraction-Free Complexity, Cluster Transformations, and Spanning Trees
33 -- 68Lars Diening, Christian Kreuzer, Rob Stevenson. Instance Optimality of the Adaptive Maximum Strategy
69 -- 97Stefan Müller 0009, Elisenda Feliu, Georg Regensburger, Carsten Conradi, Anne Shiu, Alicia Dickenstein. Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry
99 -- 149Jan Draisma, Emil Horobet, Giorgio Ottaviani, Bernd Sturmfels, Rekha R. Thomas. The Euclidean Distance Degree of an Algebraic Variety
151 -- 181Bin Wang, Arieh Iserles, Xinyuan Wu. Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory Systems
183 -- 215Hans Z. Munthe-Kaas, Olivier Verdier. Aromatic Butcher Series
217 -- 296Antoine Gloria, Zakaria Habibi. Reduction in the Resonance Error in Numerical Homogenization II: Correctors and Extrapolation
297 -- 328Richard S. Falk, Ragnar Winther. The Bubble Transform: A New Tool for Analysis of Finite Element Methods