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SIAMREV
2011
61views more  SIAMREV 2011»
14 years 6 months ago
The Mathematics of Atmospheric Dispersion Modeling
The Gaussian plume model is a standard approach for studying the transport of airborne contaminants due to turbulent diffusion and advection by the wind. This paper reviews the as...
John M. Stockie
118
Voted
SIAMREV
2011
63views more  SIAMREV 2011»
14 years 6 months ago
Discrete Symbol Calculus
This paper deals with efficient numerical representation and manipulation of differential and integral operators as symbols in phase-space, i.e., functions of space x and frequen...
Laurent Demanet, Lexing Ying
SIAMNUM
2011
102views more  SIAMNUM 2011»
14 years 6 months ago
Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking
Abstract. When studying the ε-pseudospectrum of a matrix, one is often interested in computing the extremal points having maximum real part or modulus. This is a crucial step, for...
Nicola Guglielmi, Christian Lubich
SIAMNUM
2011
92views more  SIAMNUM 2011»
14 years 6 months ago
A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side
The Green function of the Poisson equation in two dimensions is not contained in the Sobolev space H1(Ω) such that finite element error estimates for the discretization of a prob...
Thomas Apel, Olaf Benedix, Dieter Sirch, Boris Vex...
126
Voted
SIAMMAX
2011
79views more  SIAMMAX 2011»
14 years 6 months ago
Nonlinear Low Rank Modification of a Symmetric Eigenvalue Problem
This paper studies existence and uniqueness results and interlacing properties of nonlinear modifications of small rank of symmetric eigenvalue problems. Approximation properties ...
Heinrich Voss, Kemal Yildiztekin, Xin Huang
SIAMMAX
2011
92views more  SIAMMAX 2011»
14 years 6 months ago
A Condition for Convexity of a Product of Positive Definite Quadratic Forms
A sufficient condition for the convexity of a finite product of positive definite quadratic forms is given in terms of the condition numbers of the underlying matrices. When only...
Minghua Lin, Gord Sinnamon
169
Voted
SIAMMAX
2011
157views more  SIAMMAX 2011»
14 years 6 months ago
Deflated Restarting for Matrix Functions
We investigate an acceleration technique for restarted Krylov subspace methods for computing the action of a function of a large sparse matrix on a vector. Its effect is to ultima...
Michael Eiermann, Oliver G. Ernst, Stefan Güt...
152
Voted
SIAMMAX
2011
141views more  SIAMMAX 2011»
14 years 6 months ago
Best Low Multilinear Rank Approximation of Higher-Order Tensors, Based on the Riemannian Trust-Region Scheme
Higher-order tensors are used in many application fields, such as statistics, signal processing, and scientific computing. Efficient and reliable algorithms for manipulating thes...
Mariya Ishteva, Pierre-Antoine Absil, Sabine Van H...
149
Voted
SIAMMA
2011
97views more  SIAMMA 2011»
14 years 6 months ago
Convergence Rates for Greedy Algorithms in Reduced Basis Methods
The reduced basis method was introduced for the accurate online evaluation of solutions to a parameter dependent family of elliptic partial differential equations. ly, it can be ...
Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald...
SIAMJO
2011
14 years 6 months ago
Rank-Sparsity Incoherence for Matrix Decomposition
Suppose we are given a matrix that is formed by adding an unknown sparse matrix to an unknown low-rank matrix. Our goal is to decompose the given matrix into its sparse and low-ran...
Venkat Chandrasekaran, Sujay Sanghavi, Pablo A. Pa...