Publications related to Radius of convergence

The role of numerical integration in numerical homogenization

Finite elements methods (FEMs) with numerical integration play a central role in numerical homogenization methods for partial differential equations with multiple scales, as the effective data in a homogenization problem can only be recovered from a micros ...

2015

Iterative Potts and Blake-Zisserman minimization for the recovery of functions with discontinuities from indirect measurements

Martin Kurt Storath

Signals with discontinuities appear in many problems in the applied sciences ranging from mechanics, electrical engineering to biology and medicine. The concrete data acquired are typically discrete, indirect and noisy measurements of some quantities descr ...

Royal Soc2015

Toward a New Assessment of Quality

Touradj Ebrahimi

A convergence of trends is shifting the focus of quality assessment from compliance with system design goals to fulfillment of user needs or expectations in different contexts. ...

Ieee Computer Soc2015

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem

Alfio Quarteroni, Luca Dede', Claudia Maria Colciago

In this paper, we propose the mathematical and finite element analysis of a second-order partial differential equation endowed with a generalized Robin boundary condition which involves the Laplace--Beltrami operator by introducing a function space $H^1(\O ...

Society for Industrial and Applied Mathematics2015

Stable blow up dynamics for energy supercritical wave equations

Roland Donninger

We study the semilinear wave equation

\displaystyle \partial _t^2 \psi -\Delta \psi =\vert\psi \vert^{p-1}\psi

for

p > 3

with radial data in three spatial dimensions. There exists an explicit solution which blows up at

t=T>0

given by $\displaystyl ...

American Mathematical Society2014

Barrier Smoothing for Nonsmooth Convex Minimization

Volkan Cevher, Quoc Tran Dinh, Yen-Huan Li

This paper proposes a smoothing technique for nonsmooth convex minimization using self-concordant barriers. To illustrate the main ideas, we compare our technique and the proximity smoothing approach (Nesterov2005) via the classical gradient method on both ...

Ieee2014

Scalable sparse covariance estimation via self-concordance

Volkan Cevher, Quoc Tran Dinh, Anastasios Kyrillidis, Rabeeh Karimi Mahabadi

We consider the class of convex minimization problems, composed of a self-concordant function, such as the logdet metric, a convex data fidelity term h and, a regularizing -- possibly non-smooth -- function g. This type of problems have recently attracted ...

2014

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

Fabio Nobile, Lorenzo Tamellini

In this work we consider quasi-optimal versions of the Stochastic Galerkin method for solving linear elliptic PDEs with stochastic coefficients. In particular, we consider the case of a finite number

N

of random inputs and an analytic dependence of the s ...

2014

On the Use of Second-Order Modifiers for Real-Time Optimization

Dominique Bonvin, Timm Faulwasser

We consider the real-time optimization of static plants and propose a generalized version of the modifier-adaptation strategy that relies on second-order adaptation of the cost and constraint functions. We show that second-order adaptation allows checking ...

2014

Convergence of Ising Interfaces to Schramm's SLE Curves

Clément Hongler, Stanislav Smirnov

We show how to combine our earlier results to deduce strong convergence of the interfaces in the planar critical Ising model and its random-cluster representation to Schramm’s SLE curves with parameter κ = 3 and κ = 16 / 3 respectively. ...

2014

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The role of numerical integration in numerical homogenization

Iterative Potts and Blake-Zisserman minimization for the recovery of functions with discontinuities from indirect measurements

Toward a New Assessment of Quality

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem

Stable blow up dynamics for energy supercritical wave equations

Barrier Smoothing for Nonsmooth Convex Minimization

Scalable sparse covariance estimation via self-concordance

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

On the Use of Second-Order Modifiers for Real-Time Optimization

Convergence of Ising Interfaces to Schramm's SLE Curves

Iterative Potts and Blake-Zisserman minimization for the recovery of functions with discontinuities from indirect measurements

Barrier Smoothing for Nonsmooth Convex Minimization

On the Use of Second-Order Modifiers for Real-Time Optimization

Convergence of Ising Interfaces to Schramm's SLE Curves

Scalable sparse covariance estimation via self-concordance

Toward a New Assessment of Quality

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

Stable blow up dynamics for energy supercritical wave equations

The role of numerical integration in numerical homogenization