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SIAMREV
2010
119views more  SIAMREV 2010»
11 years 4 months ago
From Functional Analysis to Iterative Methods
We examine condition numbers, preconditioners, and iterative methods for finite element discretizations of coercive PDEs in the context of the fundamental solvability result, the L...
Robert C. Kirby
SIAMREV
2010
132views more  SIAMREV 2010»
11 years 4 months ago
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
In this paper we propose and analyze a Stochastic-Collocation method to solve elliptic Partial Differential Equations with random coefficients and forcing terms (input data of the...
Ivo Babuska, Fabio Nobile, Raúl Tempone
SIAMREV
2010
181views more  SIAMREV 2010»
11 years 4 months ago
A Variational Approach to Copositive Matrices
This work surveys essential properties of the so-called copositive matrices, the study of which is spread over more than fifty-five years. Special emphasis is given to variational ...
Jean-Baptiste Hiriart-Urruty, Alberto Seeger
SIAMREV
2010
108views more  SIAMREV 2010»
11 years 4 months ago
Market Design for Emission Trading Schemes
Abstract. The main thrust of the paper is the design and the numerical analysis of new capand-trade schemes for the control and the reduction of atmospheric pollution. The tools de...
René Carmona, Max Fehr, Juri Hinz, Arnaud P...
SIAMREV
2010
89views more  SIAMREV 2010»
11 years 4 months ago
Numerical Methods for Electronic Structure Calculations of Materials
Yousef Saad, James R. Chelikowsky, Suzanne M. Shon...
SIAMREV
2010
174views more  SIAMREV 2010»
11 years 4 months ago
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
The affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the ...
Benjamin Recht, Maryam Fazel, Pablo A. Parrilo
SIAMREV
2010
110views more  SIAMREV 2010»
11 years 4 months ago
Complex Singularities and the Lorenz Attractor
The Lorenz attractor is one of the best known examples of applied mathematics. However, much of what is known about it is a result of numerical calculations and not of mathematica...
Divakar Viswanath, Sönmez Sahutoglu
SIAMREV
2010
170views more  SIAMREV 2010»
11 years 4 months ago
Network Properties Revealed through Matrix Functions
The newly emerging field of Network Science deals with the tasks of modelling, comparing and summarizing large data sets that describe complex interactions. Because pairwise affin...
Ernesto Estrada, Desmond J. Higham
SIAMREV
2010
83views more  SIAMREV 2010»
11 years 4 months ago
Mathematical Description of Microbial Biofilms
Abstract. We describe microbial communities denoted biofilms and efforts to model some of their important aspects, including quorum sensing, growth, mechanics, and antimicrobial to...
Isaac Klapper, Jack Dockery
SIAMREV
2010
90views more  SIAMREV 2010»
11 years 4 months ago
On the Block Triangular Form of Symmetric Matrices
We present some observations on the block triangular form (btf) of structurally symmetric, square, sparse matrices. If the matrix is structurally rank deficient, its canonical btf ...
Iain S. Duff, Bora Uçar
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