Journal: Foundations of Computational Mathematics

Volume 13, Issue 6

867 -- 884Gregorio Malajovich. On the Expected Number of Zeros of Nonlinear Equations
885 -- 911Andrew J. Blumberg, Michael A. Mandell. Quantitative Homotopy Theory in Topological Data Analysis
913 -- 933Katharine Turner. Cone Fields and Topological Sampling in Manifolds with Bounded Curvature
935 -- 963Marek Krcál, Jirí Matousek, Francis Sergeraert. Polynomial-Time Homology for Simplicial Eilenberg-MacLane Spaces
965 -- 1003Dinh Dung, Tino Ullrich. N-Widths and ε-Dimensions for High-Dimensional Approximations
1005 -- 1033Thomas Müller-Gronbach, Klaus Ritter. A Local Refinement Strategy for Constructive Quantization of Scalar SDEs

Volume 13, Issue 5

693 -- 728Tom Duchamp, Gang Xie, Thomas Pok-Yin Yu. Single Basepoint Subdivision Schemes for Manifold-valued Data: Time-Symmetry Without Space-Symmetry
729 -- 762Jordi Guàrdia, Jesús Montes, Enric Nart. A New Computational Approach to Ideal Theory in Number Fields
763 -- 787Jens L. Eftang, Martin A. Grepl, Anthony T. Patera, Einar M. Rønquist. Approximation of Parametric Derivatives by the Empirical Interpolation Method
789 -- 818Tomasz Kaczynski, Marian Mrozek. The Cubical Cohomology Ring: An Algorithmic Approach
819 -- 834Albert Cohen, Mark A. Davenport, Dany Leviatan. On the Stability and Accuracy of Least Squares Approximations
835 -- 865Shay Kels, Nira Dyn. Subdivision Schemes of Sets and the Approximation of Set-Valued Functions in the Symmetric Difference Metric

Volume 13, Issue 4

455 -- 456Elizabeth Mansfield, Evelyne Hubert, Gloria Marí Beffa. Foreword
457 -- 477C. J. Cotter, D. D. Holm. On Noether's Theorem for the Euler-Poincaré Equation on the Diffeomorphism Group with Advected Quantities
479 -- 516Evelyne Hubert, George Labahn. Scaling Invariants and Symmetry Reduction of Dynamical Systems
517 -- 544Terry Bridgman, Willy Hereman, G. R. W. Quispel, Peter H. van der Kamp. Symbolic Computation of Lax Pairs of Partial Difference Equations using Consistency Around the Cube
545 -- 582Elizabeth Mansfield, Gloria Marí Beffa, Jing Ping Wang. Discrete Moving Frames and Discrete Integrable Systems
583 -- 613Hans Z. Munthe-Kaas, Alexander Lundervold. On Post-Lie Algebras, Lie-Butcher Series and Moving Frames
615 -- 666David Gómez-Ullate, Niky Kamran, Robert Milson. A Conjecture on Exceptional Orthogonal Polynomials
667 -- 692Timothy J. Grant, Peter E. Hydon. Characteristics of Conservation Laws for Difference Equations

Volume 13, Issue 3

297 -- 345Adel Javanmard, Andrea Montanari. Localization from Incomplete Noisy Distance Measurements
347 -- 369Uri Itai, Nir Sharon. Subdivision Schemes for Positive Definite Matrices
371 -- 403Jonathan D. Hauenstein, Charles W. Wampler. Isosingular Sets and Deflation
405 -- 454James Renegar. Central Swaths - A Generalization of the Central Path

Volume 13, Issue 2

139 -- 159Ulrik S. Fjordholm, Siddhartha Mishra, Eitan Tadmor. ENO Reconstruction and ENO Interpolation Are Stable
161 -- 186Alexander Lundervold, Hans Z. Munthe-Kaas. Backward Error Analysis and the Substitution Law for Lie Group Integrators
187 -- 220Holger Heumann, Ralf Hiptmair. Convergence of Lowest Order Semi-Lagrangian Schemes
221 -- 252Gunnar E. Carlsson, Facundo Mémoli. Classifying Clustering Schemes
253 -- 295Carlos Beltrán, Anton Leykin. Robust Certified Numerical Homotopy Tracking

Volume 13, Issue 1

1 -- 36C. Sinan Güntürk, Mark Lammers, Alexander M. Powell, Rayan Saab, Özgür Yilmaz. Sobolev Duals for Random Frames and ΣΔ Quantization of Compressed Sensing Measurements
37 -- 97Nicola Guglielmi, Vladimir Protasov. Exact Computation of Joint Spectral Characteristics of Linear Operators
99 -- 137Jie Shen, Zhong-Qing Wang. Error Analysis of the Strang Time-Splitting Laguerre-Hermite/Hermite Collocation Methods for the Gross-Pitaevskii Equation