Foundations of Computational Mathematics, Volume 8

Volume 8, Number 1, February 2008

• Carlos Beltrán, Luis Miguel Pardo:
  On Smale's 17th Problem: A Probabilistic Positive Solution. 1-43
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• Saugata Basu:
  Computing the Top Betti Numbers of Semialgebraic Sets Defined by Quadratic Inequalities in Polynomial Time. 45-80
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• Saugata Basu:
  Errata for Computing the Top Betti Numbers of Semialgebraic Sets Defined by Quadratic Inequalities in Polynomial Time. 81-95
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• Saugata Basu, Richard Pollack, Marie-Françoise Roy:
  Computing the First Betti Number of a Semi-Algebraic Set. 97-136
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• Hendrik Hubrechts:
  Point Counting in Families of Hyperelliptic Curves. 137-169
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Volume 8, Number 2, April 2008

• Andrew J. Sommese, Charles W. Wampler:
  Exceptional Sets and Fiber Products. 171-196
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• Felipe Alvarez, Jérôme Bolte, Julien Munier:
  A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds. 197-226
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• Hans Z. Munthe-Kaas, Will M. Wright:
  On the Hopf Algebraic Structure of Lie Group Integrators. 227-257
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• Alan Edelman, Brian D. Sutton:
  The Beta-Jacobi Matrix Model, the CS Decomposition, and Generalized Singular Value Problems. 259-285
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Volume 8, Number 3, June 2008

• Per Christian Moan, Jitse Niesen:
  Convergence of the Magnus Series. 291-301
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• Elena Celledoni, David Cohen, Brynjulf Owren:
  Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation. 303-317
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• Ernst Hairer, Christian Lubich:
  Spectral Semi-discretisations of Weakly Non-linear Wave Equations over Long Times. 319-334
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• Robert I. McLachlan, Hans Z. Munthe-Kaas, G. R. W. Quispel, Antonella Zanna:
  Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. 335-355
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• Sergio Blanes, Fernando Casas, Ander Murua:
  On the Linear Stability of Splitting Methods. 357-393
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• B. J. C. Baxter:
  On Spherical Averages of Radial Basis Functions. 395-407
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Volume 8, Number 4, August 2008

• Nira Dyn, Armin Iske, Holger Wendland:
  Meshfree Thinning of 3D Point Clouds. 409-425
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• Elizabeth L. Mansfield, Peter E. Hydon:
  Difference Forms. 427-467
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• Anthony M. Bloch, Peter E. Crouch, Jerrold E. Marsden, Amit K. Sanyal:
  Optimal Control and Geodesics on Quadratic Matrix Lie Groups. 469-500
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• Jeongoo Cheh, Peter J. Olver, Juha Pohjanpelto:
  Algorithms for Differential Invariants of Symmetry Groups of Differential Equations. 501-532
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Volume 8, Number 5, October 2008

• Yurii Nesterov, A. Nemirovski:
  Primal Central Paths and Riemannian Distances for Convex Sets. 533-560
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• Yiming Ying, Massimiliano Pontil:
  Online Gradient Descent Learning Algorithms. 561-596
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• Daqing Wan:
  Modular Counting of Rational Points over Finite Fields. 597-605
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• Jean B. Lasserre, Monique Laurent, Philipp Rostalski:
  Semidefinite Characterization and Computation of Zero-Dimensional Real Radical Ideals. 607-647
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