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FOCM
2010
100views more  FOCM 2010»
13 years 10 months ago
Higher-Order Averaging, Formal Series and Numerical Integration I: B-series
We show how B-series may be used to derive in a systematic way the analytical expressions of the high-order stroboscopic averaged equations that approximate the slow dynamics of h...
P. Chartier, A. Murua, J. M. Sanz-Serna
FOCM
2010
161views more  FOCM 2010»
13 years 10 months ago
The Asymptotics of Wilkinson's Shift: Loss of Cubic Convergence
One of the most widely used methods for eigenvalue computation is the QR iteration with Wilkinson’s shift: here the shift s is the eigenvalue of the bottom 2 × 2 principal mino...
Ricardo S. Leite, Nicolau C. Saldanha, Carlos Tome...
FOCM
2010
76views more  FOCM 2010»
13 years 10 months ago
Mathematics of the Neural Response
Steve Smale, Lorenzo Rosasco, Jake V. Bouvrie, And...
FOCM
2010
73views more  FOCM 2010»
13 years 10 months ago
Linear Precision for Toric Surface Patches
Hans-Christian Graf von Bothmer, Kristian Ranestad...
FOCM
2010
90views more  FOCM 2010»
13 years 10 months ago
Convergence of a Time Discretisation for Doubly Nonlinear Evolution Equations of Second Order
The convergence of a time discretisation with variable time steps is shown for a class of doubly nonlinear evolution equations of second order. This also proves existence of a weak...
Etienne Emmrich, Mechthild Thalhammer
FOCM
2010
108views more  FOCM 2010»
13 years 10 months ago
Parallelization Method for a Continuous Property
Abstract. An automated method of general purpose is introduced for computing a rigorous estimate of a bounded region in Rn whose points satisfy a given property. The method is base...
Pawel Pilarczyk
FOCM
2010
82views more  FOCM 2010»
13 years 10 months ago
Stability and Instance Optimality for Gaussian Measurements in Compressed Sensing
In compressed sensing we seek to gain information about vector x ∈ RN from d << N nonadaptive linear measurements. Candes, Donoho, Tao et. al. ( see e.g. [2, 4, 8]) propos...
P. Wojtaszczyk
FOCM
2010
160views more  FOCM 2010»
13 years 10 months ago
Boundary Measures for Geometric Inference
We study the boundary measures of compact subsets of the d-dimensional Euclidean space, which are closely related to Federer’s curvature measures. We show that they can be comput...
Frédéric Chazal, David Cohen-Steiner...