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Foundations of Computational Mathematics, Volume 15
Volume 15, Number 1, February 2015
- Teresa Krick, James Renegar:
Foreword. 1-2 - Dennis Amelunxen, Peter Bürgisser:
Probabilistic Analysis of the Grassmann Condition Number. 3-51 - Francesco Amoroso, Louis Leroux, Martín Sombra:
Overdetermined Systems of Sparse Polynomial Equations. 53-87 - Narcís Miguel, Carles Simó, Arturo Vieiro:
Effect of Islands in Diffusive Properties of the Standard Map for Large Parameter Values. 89-123 - Carlos Beltrán:
A Facility Location Formulation for Stable Polynomials and Elliptic Fekete Points. 125-157 - Bernd Bank, Marc Giusti, Joos Heintz, Grégoire Lecerf, Guillermo Matera, Pablo Solernó:
Degeneracy Loci and Polynomial Equation Solving. 159-184 - Pascal Koiran, Natacha Portier, Sébastien Tavenas, Stéphan Thomassé:
A $$\tau $$ τ -Conjecture for Newton Polygons. 185-197 - Saugata Basu:
A Complexity Theory of Constructible Functions and Sheaves. 199-279 - Diego Armentano, Felipe Cucker:
A Randomized Homotopy for the Hermitian Eigenpair Problem. 281-312
Volume 15, Number 2, April 2015
- Arnulf Jentzen, Michael Röckner:
A Milstein Scheme for SPDEs. 313-362 - Gilad Lerman, Michael B. McCoy, Joel A. Tropp, Teng Zhang:
Robust Computation of Linear Models by Convex Relaxation. 363-410 - Frances Y. Kuo, Christoph Schwab, Ian H. Sloan:
Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients. 411-449 - Wei Li, Chun-Ming Yuan, Xiao-Shan Gao:
Sparse Differential Resultant for Laurent Differential Polynomials. 451-517 - François Castella, Philippe Chartier, Florian Méhats, Ander Murua:
Stroboscopic Averaging for the Nonlinear Schrödinger Equation. 519-559 - Markus Hansen:
Nonlinear Approximation Rates and Besov Regularity for Elliptic PDEs on Polyhedral Domains. 561-589 - Philippe Chartier, Ander Murua, Jesús María Sanz-Serna:
Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds. 591-612
Volume 15, Number 3, June 2015
- Michael Lesnick:
The Theory of the Interleaving Distance on Multidimensional Persistence Modules. 613-650 - Martijn Baartse, Klaus Meer:
The PCP Theorem for NP Over the Reals. 651-680 - Alan Edelman, Gilbert Strang:
Random Triangle Theory with Geometry and Applications. 681-713 - Brendan O'Donoghue, Emmanuel J. Candès:
Adaptive Restart for Accelerated Gradient Schemes. 715-732 - Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado:
A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis. 733-791 - Grigoriy Blekherman:
Typical Real Ranks of Binary Forms. 793-798 - Jose A. Perea, John Harer:
Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis. 799-838
Volume 15, Number 4, August 2015
- Markus Bachmayr, Wolfgang Dahmen:
Adaptive Near-Optimal Rank Tensor Approximation for High-Dimensional Operator Equations. 839-898 - Arthur G. Werschulz, Henryk Wozniakowski:
Tight Tractability Results for a Model Second-Order Neumann Problem. 899-929 - Ilya A. Krishtal, Thomas Strohmer, Tim Wertz:
Localization of Matrix Factorizations. 931-951 - Ernest K. Ryu, Stephen P. Boyd:
Extensions of Gauss Quadrature Via Linear Programming. 953-971 - Thomas März:
A Well-Posedness Framework for Inpainting Based on Coherence Transport. 973-1033 - Marie-Laurence Mazure:
Lagrange Interpolatory Subdivision Schemes in Chebyshev Spaces. 1035-1068 - Yash Deshpande, Andrea Montanari:
Finding Hidden Cliques of Size √(N/e) in Nearly Linear Time. 1069-1128
Volume 15, Number 5, October 2015
- Janosch Rieger:
Robust boundary tracking for reachable sets of nonlinear differential inclusions. 1129-1150 - Steve Y. Oudot, Donald R. Sheehy:
Zigzag Zoology: Rips Zigzags for Homology Inference. 1151-1186 - Farbod Roosta-Khorasani, Uri M. Ascher:
Improved Bounds on Sample Size for Implicit Matrix Trace Estimators. 1187-1212 - Herbert Edelsbrunner, Grzegorz Jablonski, Marian Mrozek:
The Persistent Homology of a Self-Map. 1213-1244 - Takashi Goda, Josef Dick:
Construction of Interlaced Scrambled Polynomial Lattice Rules of Arbitrary High Order. 1245-1278 - Laura Balzano, Stephen J. Wright:
Local Convergence of an Algorithm for Subspace Identification from Partial Data. 1279-1314 - Vincent Duval, Gabriel Peyré:
Exact Support Recovery for Sparse Spikes Deconvolution. 1315-1355
Volume 15, Number 6, December 2015
- Philipp Grohs, Hanne Hardering, Oliver Sander:
Optimal A Priori Discretization Error Bounds for Geodesic Finite Elements. 1357-1411 - Sebastian Pancratz, Jan Tuitman:
Improvements to the Deformation Method for Counting Points on Smooth Projective Hypersurfaces. 1413-1464 - Steffen Dereich, Thomas Müller-Gronbach:
Quadrature for Self-affine Distributions on Rd. 1465-1500 - Peter Bubenik, Vin de Silva, Jonathan A. Scott:
Metrics for Generalized Persistence Modules. 1501-1531 - Stephan Dahlke, Markus Weimar:
Besov regularity for operator equations on patchwise smooth manifolds. 1533-1569 - Aurora Marica, Enrique Zuazua:
Propagation of 1D Waves in Regular Discrete Heterogeneous Media: A Wigner Measure Approach. 1571-1636 - Dmitriy Drusvyatskiy, Alexander D. Ioffe, Adrian S. Lewis:
Transversality and Alternating Projections for Nonconvex Sets. 1637-1651 - Etienne Emmrich, David Siska, Mechthild Thalhammer:
On a Full Discretisation for Nonlinear Second-Order Evolution Equations with Monotone Damping: Construction, Convergence, and Error Estimates. 1653-1701
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