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Foundations of Computational Mathematics, Volume 17
Volume 17, Number 1, February 2017
- Ulrich Bauer, Axel Munk, Hannes Sieling, Max Wardetzky:
Persistence Barcodes Versus Kolmogorov Signatures: Detecting Modes of One-Dimensional Signals. 1-33 - Tianyi Lin, Shiqian Ma, Shuzhong Zhang:
An Extragradient-Based Alternating Direction Method for Convex Minimization. 35-59 - Andrei Gabrielov, Nicolai N. Vorobjov Jr.:
On Topological Lower Bounds for Algebraic Computation Trees. 61-72 - Daniel Matthes, Horst Osberger:
A Convergent Lagrangian Discretization for a Nonlinear Fourth-Order Equation. 73-126 - Geir Bogfjellmo, Alexander Schmeding:
The Lie Group Structure of the Butcher Group. 127-159 - Bo Jiang, Zhening Li, Shuzhong Zhang:
On Cones of Nonnegative Quartic Forms. 161-197 - James Hall, Melvin Leok:
Lie Group Spectral Variational Integrators. 199-257 - Wenyuan Wu, Zhonggang Zeng:
The Numerical Factorization of Polynomials. 259-286
Volume 17, Number 2, April 2017
- Benjamin Charlier, Nicolas Charon, Alain Trouvé:
The Fshape Framework for the Variability Analysis of Functional Shapes. 287-357 - Zdenek Kalousek:
Steepest Descent Method with Random Step Lengths. 359-422 - Jiawang Nie:
Generating Polynomials and Symmetric Tensor Decompositions. 423-465 - Kinjal Basu, Art B. Owen:
Scrambled Geometric Net Integration Over General Product Spaces. 467-496 - Mayank Goswami, Xianfeng Gu, Vamsi Pingali, Gaurish Telang:
Computing Teichmüller Maps Between Polygons. 497-526 - Yurii E. Nesterov, Vladimir G. Spokoiny:
Random Gradient-Free Minimization of Convex Functions. 527-566 - Nicola Guglielmi, Linda Laglia, Vladimir Protasov:
Polytope Lyapunov Functions for Stable and for Stabilizable LSS. 567-623 - Philippe Chartier, Ander Murua, Jesús María Sanz-Serna:
Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. 625-626
Volume 17, Number 3, June 2017
- Martin Burger, Ole Løseth Elvetun, Matthias Schlottbom:
Analysis of the Diffuse Domain Method for Second Order Elliptic Boundary Value Problems. 627-674 - Ander Murua, Jesús María Sanz-Serna:
Word Series for Dynamical Systems and Their Numerical Integrators. 675-712 - Merico E. Argentati, Andrew V. Knyazev, Klaus Neymeyr, Evgueni E. Ovtchinnikov, Ming Zhou:
Convergence Theory for Preconditioned Eigenvalue Solvers in a Nutshell. 713-727 - Elizabeth L. Mansfield, Tristan Pryer:
Noether-Type Discrete Conserved Quantities Arising from a Finite Element Approximation of a Variational Problem. 729-762 - Ulrik S. Fjordholm, Roger Käppeli, Siddhartha Mishra, Eitan Tadmor:
Construction of Approximate Entropy Measure-Valued Solutions for Hyperbolic Systems of Conservation Laws. 763-827 - Jarod Alper, Tristram Bogart, Mauricio Velasco:
A Lower Bound for the Determinantal Complexity of a Hypersurface. 829-836 - Luis Renato G. Dias, Susumu Tanabé, Mihai Tibar:
Toward Effective Detection of the Bifurcation Locus of Real Polynomial Maps. 837-849 - Hendrik W. Lenstra Jr., Alice Silverberg:
Roots of Unity in Orders. 851-877
Volume 17, Number 4, August 2017
- Michael S. Floater, Andrew Gillette:
Nodal Bases for the Serendipity Family of Finite Elements. 879-893 - David Krieg, Erich Novak:
A Universal Algorithm for Multivariate Integration. 895-916 - Tsogtgerel Gantumur:
Convergence Rates of Adaptive Methods, Besov Spaces, and Multilevel Approximation. 917-956 - Sofia Eriksson, Jan Nordström:
Exact Non-reflecting Boundary Conditions Revisited: Well-Posedness and Stability. 957-986 - Vincent Knibbeler, Sara Lombardo, Jan A. Sanders:
Higher-Dimensional Automorphic Lie Algebras. 987-1035 - Markus Bachmayr, Reinhold Schneider:
Iterative Methods Based on Soft Thresholding of Hierarchical Tensors. 1037-1083 - Martin W. Licht:
Complexes of Discrete Distributional Differential Forms and Their Homology Theory. 1085-1122
Volume 17, Number 5, October 2017
- Jordi-Lluís Figueras, Àlex Haro, Alejandro Luque:
Rigorous Computer-Assisted Application of KAM Theory: A Modern Approach. 1123-1193 - Indika Rajapakse, Steve Smale:
Mathematics of the Genome. 1195-1217 - Martin Weimann:
Bivariate Factorization Using a Critical Fiber. 1219-1263 - Pierre Lairez:
A Deterministic Algorithm to Compute Approximate Roots of Polynomial Systems in Polynomial Average Time. 1265-1292 - Gregorio Malajovich:
Computing Mixed Volume and All Mixed Cells in Quermassintegral Time. 1293-1334 - Ana Romero, Francis Sergeraert:
A Bousfield-Kan Algorithm for Computing the Effective Homotopy of a Space. 1335-1366
Volume 17, Number 6, December 2017
- Martina Scolamiero, Wojciech Chachólski, Anders Lundman, Ryan Ramanujam, Sebastian Öberg:
Multidimensional Persistence and Noise. 1367-1406 - Marc Olive:
About Gordan's Algorithm for Binary Forms. 1407-1466 - Jason D. Mireles-James:
Fourier-Taylor Approximation of Unstable Manifolds for Compact Maps: Numerical Implementation and Computer-Assisted Error Bounds. 1467-1523 - Clément Cancès, Cindy Guichard:
Numerical Analysis of a Robust Free Energy Diminishing Finite Volume Scheme for Parabolic Equations with Gradient Structure. 1525-1584 - Marian Mrozek:
Conley-Morse-Forman Theory for Combinatorial Multivector Fields on Lefschetz Complexes. 1585-1633
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