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Complex nonlinear interplays of multiple scales give rise to many interesting physical phenomena and pose major difficulties for the computer simulation of multiscale PDE models in areas such as reser...
Modeling non-commutative phenomena in finite dimensional matrix algebras is a central theme of the program Quantitative Linear Algebra. This workshop will focus on a variety of concrete questions aro...
This workshop aims to provide a unique opportunity to bring together specialists and active researchers from some Pacific RIM countries, as well as some European countries, in the areas of operator al...
This workshop aims to provide a unique opportunity to bring together specialists and active researchers from some Pacific RIM countries, as well as some European countries, in the areas of operator al...
THE HODGE STAR OPERATOR ON SCHUBERT FORMS     SCHUBERT FORMS  THE HODGE STAR OPERATOR       font style='font-size:12px;'> 2015/12/17
Let X = G=P be a homogeneous space of a complex semisimple Lie group G equipped with a hermitian metric. We study the action of the Hodge star operator on the space of harmonic di erential forms on ...
We develop preconditioners for systems arising from finite element discretizations of parabolic problems which are fourth order in space. We consider boundary conditions which yield a natural ...
We present an adaptive finite element method (AFEM) of any polynomial degree for the Laplace-Beltrami operator on C 1 graphs Γ in R d (d ≥ 2). We first derive residual-type a posteri...
Perfect Preconditioning of Frames by a Diagonal Operator     Preconditioning  Frames  Diagonal       font style='font-size:12px;'> 2015/12/10
Frames which are tight might be considered optimally conditioned in the sense of their numerical stability.This leads to the question of perfect preconditioning of frames,i.e., modification of a given...
We use a generalization of Wiener’s 1/f theorem to prove that for a Gabor frame with the generator in the Wiener amalgam space W (L∞, `1 )(Rd), the corresponding frame operator is invertible on this s...
In this paper, we first derive several identities on a compact shrinking Ricci soliton. We then show that a compact gradient shrinking soliton must be Einstein, if it admits a Riemannian metri...
We develop a simple operator splitting method for solving a primal conic optimization problem; we show that the iterates also solve the dual problem. The resulting algorithm is very simple to describe...
This paper introduces a fast spectral algorithm for the quantum Boltzmann collision operator. In the usual spectral framework, one of the terms in the operator cannot be evaluatedefficiently. The new ...
This paper introduces a fast algorithm for the energy space boson Boltzmann collision operator. Compared to the direct O(N3) calculation and the previous O(N2 log N) method [Markowich and Pareschi, 20...
We introduce a simple method to accelerate the convergence of iterative solvers of the frequency-domain Maxwell’s equations for deep-subwavelength structures. Using the continuity equation, the method...
We obtain sharp two-sided inequalities between $L^p-$norms $(1ere $H$ is the Hardy operator, $H^*$ is its dual, and $f$ is a nonnegative measurable function...

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