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MMAS
2011
Springer
12 years 9 months ago
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow th...
Björn Engquist, Lexing Ying
JSC
2007
60views more  JSC 2007»
13 years 6 months ago
An elementary proof of Sylvester's double sums for subresultants
In 1853 Sylvester stated and proved an elegant formula that expresses the polynomial subresultants in terms of the roots of the input polynomials. Sylvester’s formula was also r...
Carlos D'Andrea, Hoon Hong, Teresa Krick, Á...
FOCS
2007
IEEE
13 years 10 months ago
Discrepancy and the Power of Bottom Fan-in in Depth-three Circuits
We develop a new technique of proving lower bounds for the randomized communication complexity of boolean functions in the multiparty `Number on the Forehead' model. Our meth...
Arkadev Chattopadhyay
AUTOMATICA
2005
86views more  AUTOMATICA 2005»
13 years 6 months ago
Sensitivity shaping with degree constraint by nonlinear least-squares optimization
This paper presents a new approach to shaping of the frequency response of the sensitivity function. In this approach, a desired frequency response is assumed to be specified at a...
Ryozo Nagamune, Anders Blomqvist
CASC
2007
Springer
114views Mathematics» more  CASC 2007»
13 years 10 months ago
Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation
We consider summation of consecutive values (v), (v +1), . . . , (w) of a meromorphic function (z) where v, w ZZ. We assume that (z) satisfies a linear difference equation L(y) = ...
Sergei A. Abramov, Marko Petkovsek