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SIAMCO
2010
93views more  SIAMCO 2010»
15 years 5 months ago
Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
We consider a network consisting of n interconnected nonlinear subsystems. For each subsystem an ISS Lyapunov function is given that treats the other subsystems as independent inpu...
Sergey Dashkovskiy, Björn Sebastian Rüff...
SIAMDM
2010
166views more  SIAMDM 2010»
15 years 5 months ago
Direct Product Factorization of Bipartite Graphs with Bipartition-reversing Involutions
Given a connected bipartite graph G, we describe a procedure which enumerates and computes all graphs H (if any) for which there is a direct product factorization G ∼= H × K2. W...
Ghidewon Abay-Asmerom, Richard Hammack, Craig E. L...
SIAMSC
2010
134views more  SIAMSC 2010»
15 years 5 months ago
Moving Least Squares via Orthogonal Polynomials
A method for moving least squares interpolation and differentiation is presented in the framework of orthogonal polynomials on discrete points. This yields a robust and efficient ...
Michael Carley
SIAMSC
2010
160views more  SIAMSC 2010»
15 years 5 months ago
Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential
The shift-invert Arnoldi method is employed to generate an orthonormal basis from the Krylov subspace corresponding to a real Toeplitz matrix and an initial vector. The vectors and...
Spike T. Lee, Hong-Kui Pang, Hai-Wei Sun
SIAMSC
2010
157views more  SIAMSC 2010»
15 years 5 months ago
Adaptive Time-Stepping for Incompressible Flow Part II: Navier--Stokes Equations
We outline a new class of robust and efficient methods for solving the Navier– Stokes equations. We describe a general solution strategy that has two basic building blocks: an im...
David A. Kay, Philip M. Gresho, David F. Griffiths...