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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
COMPGEOM
1999
ACM
14 years 4 days ago
Interval Methods for Kinetic Simulations
We propose a speed-up method for discrete-event simulations, including sweep-line or -plane techniques, requiring the repeated calculation of the times at which certain discrete e...
Leonidas J. Guibas, Menelaos I. Karavelas
COMPGEOM
2009
ACM
14 years 2 months ago
PTAS for geometric hitting set problems via local search
We consider the problem of computing minimum geometric hitting sets in which, given a set of geometric objects and a set of points, the goal is to compute the smallest subset of p...
Nabil H. Mustafa, Saurabh Ray
STOC
2000
ACM
156views Algorithms» more  STOC 2000»
14 years 6 days ago
Near optimal multiple alignment within a band in polynomial time
Multiple sequence alignment is a fundamental problem in computational biology. Because of its notorious difficulties, aligning sequences within a constant band (c-diagonal) is a ...
Ming Li, Bin Ma, Lusheng Wang
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
14 years 21 days ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...