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SIAMSC
2008
116views more  SIAMSC 2008»
15 years 6 months ago
A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
We propose a new numerical scheme for linear transport equations. It is based on a decomposition of the distribution function into equilibrium and non-equilibrium parts. We also us...
Mohammed Lemou, Luc Mieussens
EWRL
2008
15 years 7 months ago
New Error Bounds for Approximations from Projected Linear Equations
We consider linear fixed point equations and their approximations by projection on a low dimensional subspace. We derive new bounds on the approximation error of the solution, whi...
Huizhen Yu, Dimitri P. Bertsekas
177
Voted
SIAMSC
2010
143views more  SIAMSC 2010»
15 years 4 months ago
Computing and Deflating Eigenvalues While Solving Multiple Right-Hand Side Linear Systems with an Application to Quantum Chromod
Abstract. We present a new algorithm that computes eigenvalues and eigenvectors of a Hermitian positive definite matrix while solving a linear system of equations with Conjugate G...
Andreas Stathopoulos, Konstantinos Orginos
DATE
2007
IEEE
114views Hardware» more  DATE 2007»
16 years 12 days ago
Fast positive-real balanced truncation of symmetric systems using cross Riccati equations
We present a computationally efficient implementation of positive-real balanced truncation (PRBT) for symmetric multiple-input multiple-output (MIMO) systems. The solution of a p...
Ngai Wong
FOCS
2007
IEEE
16 years 12 days ago
Linear Equations Modulo 2 and the L1 Diameter of Convex Bodies
We design a randomized polynomial time algorithm which, given a 3-tensor of real numbers A = {aijk}n i,j,k=1 such that for all i, j, k ∈ {1, . . . , n} we have ai jk = aik j = a...
Subhash Khot, Assaf Naor