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Foundations of Computational Mathematics, Volume 16
Volume 16, Number 1, February 2016
- Sergey Fomin

, Dima Grigoriev, Gleb A. Koshevoy
:
Subtraction-Free Complexity, Cluster Transformations, and Spanning Trees. 1-31 - Lars Diening

, Christian Kreuzer
, Rob Stevenson
:
Instance Optimality of the Adaptive Maximum Strategy. 33-68 - Stefan Müller

, 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. 69-97 - Jan Draisma, Emil Horobet, Giorgio Ottaviani, Bernd Sturmfels, Rekha R. Thomas:

The Euclidean Distance Degree of an Algebraic Variety. 99-149 - Bin Wang

, Arieh Iserles, Xinyuan Wu:
Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory Systems. 151-181 - Hans Z. Munthe-Kaas, Olivier Verdier

:
Aromatic Butcher Series. 183-215 - Antoine Gloria, Zakaria Habibi:

Reduction in the Resonance Error in Numerical Homogenization II: Correctors and Extrapolation. 217-296 - Richard S. Falk, Ragnar Winther:

The Bubble Transform: A New Tool for Analysis of Finite Element Methods. 297-328
Volume 16, Number 2, April 2016
- Alexander I. Barvinok:

Computing the Permanent of (Some) Complex Matrices. 329-342 - Andrea Cerri

, Claudia Landi
:
Hausdorff Stability of Persistence Spaces. 343-367 - Ronald A. DeVore, Vladimir N. Temlyakov:

Convex Optimization on Banach Spaces. 369-394 - Alexander M. Powell, J. Tyler Whitehouse:

Error Bounds for Consistent Reconstruction: Random Polytopes and Coverage Processes. 395-423 - Dominikus Noll, Aude Rondepierre:

On Local Convergence of the Method of Alternating Projections. 425-455 - Éric Schost, Pierre-Jean Spaenlehauer

:
A Quadratically Convergent Algorithm for Structured Low-Rank Approximation. 457-492 - Geir Bogfjellmo, Håkon Marthinsen

:
High-Order Symplectic Partitioned Lie Group Methods. 493-530 - Marcio Gameiro

, Jean-Philippe Lessard
, Alessandro Pugliese
:
Computation of Smooth Manifolds Via Rigorous Multi-parameter Continuation in Infinite Dimensions. 531-575
Volume 16, Number 3, June 2016
- Ke Ye

, Lek-Heng Lim:
Every Matrix is a Product of Toeplitz Matrices. 577-598 - Fulvio Gesmundo, Jonathan D. Hauenstein, Christian Ikenmeyer, J. M. Landsberg:

Complexity of Linear Circuits and Geometry. 599-635 - Ralf Hiptmair, Andrea Moiola

, Ilaria Perugia
:
Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the hp-Version. 637-675 - Radu V. Balan:

Reconstruction of Signals from Magnitudes of Redundant Representations: The Complex Case. 677-721 - Andreas Veeser

:
Approximating Gradients with Continuous Piecewise Polynomial Functions. 723-750 - Ernst Hairer, Arieh Iserles:

Numerical Stability in the Presence of Variable Coefficients. 751-777 - Harm Derksen:

On the Nuclear Norm and the Singular Value Decomposition of Tensors. 779-811
Volume 16, Number 4, August 2016
- Wolfgang Dahmen, Ronald A. DeVore, Lars Grasedyck, Endre Süli

:
Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations. 813-874 - Justin Curry

, Robert Ghrist, Vidit Nanda
:
Discrete Morse Theory for Computing Cellular Sheaf Cohomology. 875-897 - Hans Z. Munthe-Kaas, Olivier Verdier

:
Integrators on Homogeneous Spaces: Isotropy Choice and Connections. 899-939 - Jonathan D. Hauenstein, Nickolas Hein, Frank Sottile:

A Primal-Dual Formulation for Certifiable Computations in Schubert Calculus. 941-963 - Samet Oymak, Babak Hassibi:

Sharp MSE Bounds for Proximal Denoising. 965-1029 - Ming Yuan

, Cun-Hui Zhang
:
On Tensor Completion via Nuclear Norm Minimization. 1031-1068
Volume 16, Number 5, October 2016
- Tom Duchamp, Gang Xie, Thomas Pok-Yin Yu:

A Necessary and Sufficient Proximity Condition for Smoothness Equivalence of Nonlinear Subdivision Schemes. 1069-1114 - Wolfgang Carl:

A Laplace Operator on Semi-Discrete Surfaces. 1115-1150 - William D. Kalies

, Konstantin Mischaikow, Robert C. A. M. Vandervorst:
Lattice Structures for Attractors II. 1151-1191 - Dinh Dung

:
Sampling and Cubature on Sparse Grids Based on a B-spline Quasi-Interpolation. 1193-1240 - Thomas Kahle

, Mateusz Michalek
:
Plethysm and Lattice Point Counting. 1241-1261 - Ben Adcock

, Anders C. Hansen:
Generalized Sampling and Infinite-Dimensional Compressed Sensing. 1263-1323 - Thomas Müller-Gronbach, Larisa Yaroslavtseva:

Deterministic Quadrature Formulas for SDEs Based on Simplified Weak Itô-Taylor Steps. 1325-1366 - Sjoerd Dirksen:

Dimensionality Reduction with Subgaussian Matrices: A Unified Theory. 1367-1396
Volume 16, Number 6, December 2016
- Preface. 1397-1399

- Diego Armentano, Carlos Beltrán

, Peter Bürgisser, Felipe Cucker
, Michael Shub:
Condition Length and Complexity for the Solution of Polynomial Systems. 1401-1422 - Markus Bachmayr, Reinhold Schneider, André Uschmajew:

Tensor Networks and Hierarchical Tensors for the Solution of High-Dimensional Partial Differential Equations. 1423-1472 - Andrea Bonito, José Manuel Cascón

, Khamron Mekchay, Pedro Morin, Ricardo H. Nochetto:
High-Order AFEM for the Laplace-Beltrami Operator: Convergence Rates. 1473-1539 - John Cremona

:
The L-Functions and Modular Forms Database Project. 1541-1553 - Abdul-Lateef Haji-Ali

, Fabio Nobile
, Lorenzo Tamellini
, Raúl Tempone
:
Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity. 1555-1605 - Arieh Iserles:

The Joy and Pain of Skew Symmetry. 1607-1630 - Frances Y. Kuo

, Dirk Nuyens
:
Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation. 1631-1696 - Andrei Martínez-Finkelshtein

, Evguenii Rakhmanov:
Do Orthogonal Polynomials Dream of Symmetric Curves? 1697-1736 - Endre Szemerédi:

Structural Approach to Subset Sum Problems. 1737-1749

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