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FOCM
2002
108views more  FOCM 2002»
13 years 7 months ago
Geometric Integration Algorithms on Homogeneous Manifolds
Given an ordinary differential equation on a homogeneous manifold, one can construct a "geometric integrator" by determining a compatible ordinary differential equation ...
Debra Lewis, Peter J. Olver
FOCM
2010
108views more  FOCM 2010»
13 years 6 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
90views more  FOCM 2010»
13 years 6 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
161views more  FOCM 2010»
13 years 6 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
100views more  FOCM 2010»
13 years 6 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