Publications related to Approximation error

How do Stability Corrections Perform in the Stable Boundary Layer Over Snow?

Michael Lehning, Wolf Hendrik Huwald, Sebastian Schlögl, Koichi Nishimura

We assess sensible heat-flux parametrizations in stable conditions over snow surfaces by testing and developing stability correction functions for two alpine and two polar test sites. Five turbulence datasets are analyzed with respect to, (a) the validity ...

2017

Multiscale methods for wave problems in heterogenous media

Assyr Abdulle, Patrick Henning

In this paper we give a survey on various multiscale methods for the numerical solution of second order hyperbolic equations in highly heterogenous media. We concentrate on the wave equation and distinguish between two classes of applications. First we dis ...

2017

A multiscale model for sediment impact erosion simulation using the finite volume particle method

François Avellan, Ebrahim Jahanbakhsh, Audrey Paulette Solange Maertens, Sebastián Camilo Leguizamón Sarmiento, Siamak Alimirzazadeh

The erosion of a surface by a sediment-laden flow is an inherently multiscale phenomenon which includes physical interactions covering many orders of magnitude in both length and time scales. Conforming to the nature of the problem, we propose a novel mult ...

2017

MATHICSE Technical Report : Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation

Alfio Quarteroni, Luca Dede', Shengfeng Zhu

Isogeometric Analysis (IGA) is used in combination with proper orthogonal decomposition (POD) for model order reduction of the time parameterized acoustic wave equations. We propose a fully discrete IGA-Newmark-POD approximation and we analyze the associat ...

MATHICSE2016

Estimation Error of the Constrained Lasso

Volkan Cevher, Yen-Huan Li, Ya-Ping Hsieh, Nissim Zerbib

This paper presents a non-asymptotic upper bound for the estimation error of the constrained lasso, under the high-dimensional (

n \ll p

) setting. In contrast to existing results, the error bound in this paper is sharp, is valid when the parameter to be e ...

2016

Computationally Efficient Multiple-Independent-Gate Device Model

Giovanni De Micheli, Mariagrazia Graziano, Pierre-Emmanuel Julien Marc Gaillardon, Gianluca Piccinini

Nanowire Field Effect Transistors (FETs) with multiple independent gates around a silicon channel feature ultimate gate control and are regarded as promising candidates for next generation transistors. Being inherently more complex than conventional gate-a ...

Institute of Electrical and Electronics Engineers2016

MATHICSE Technical Report : Multiscale methods for wave problems in heterogeneous media

Assyr Abdulle, Patrick Henning

In this paper we give a survey on various multiscale methods for the numerical solution of second order hyperbolic equations in highly heterogenous media. We concentrate on the wave equation and distinguish between two classes of applications. First we dis ...

MATHICSE2016

Leakage Flux Modelling in Magnetic Fluids Test Bench

Yves Perriard, Yoan René Cyrille Civet, Cécile Gisèle Aimée Jeannine Cuchet, Christophe Espanet

The proposed paper discusses a new methodology to monitor the B-H curve of magnetic fluids, which have low relative permeability. The set-up consists of a magnetic circuit which encloses a sample. A first coil allows creating a magnetic field into the samp ...

IEEE2016

The influence of the Level of Detail (LOD) and the surrounding materials reflectance on the assessment of the photovoltaic potential in urban environments

Stéphane Bonjour, Jérémie Stoeckli

In order to assess the photovoltaic potential of a building in an urban environment, the creation of a 3D model is necessary. However, there are many different levels of detail (LOD) to model a building. In this report, we compared the three main LODs acco ...

2016

Renormalization and blow up for wave maps from $S^2 \times \mathbb{R}$ to $S^2$

Sohrab Mirshams Shahshahani

We construct a one parameter family of nite time blow ups to the co-rotational wave maps problem from

S^2\times R

to

S^2

parameterized by

\nu \epsilon (\frac{1}{2},1]

. The longitudinal function

u(t,\alpha)

which is the main object of study will be ...

2016

Approximation error

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How do Stability Corrections Perform in the Stable Boundary Layer Over Snow?

Multiscale methods for wave problems in heterogenous media

A multiscale model for sediment impact erosion simulation using the finite volume particle method

MATHICSE Technical Report : Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation

Estimation Error of the Constrained Lasso

Computationally Efficient Multiple-Independent-Gate Device Model

MATHICSE Technical Report : Multiscale methods for wave problems in heterogeneous media

Leakage Flux Modelling in Magnetic Fluids Test Bench

The influence of the Level of Detail (LOD) and the surrounding materials reflectance on the assessment of the photovoltaic potential in urban environments

Renormalization and blow up for wave maps from $S^2 \times \mathbb{R}$ to $S^2$

Multiscale methods for wave problems in heterogenous media

A multiscale model for sediment impact erosion simulation using the finite volume particle method

How do Stability Corrections Perform in the Stable Boundary Layer Over Snow?

MATHICSE Technical Report : Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation

Estimation Error of the Constrained Lasso

MATHICSE Technical Report : Multiscale methods for wave problems in heterogeneous media

Leakage Flux Modelling in Magnetic Fluids Test Bench

Computationally Efficient Multiple-Independent-Gate Device Model

The influence of the Level of Detail (LOD) and the surrounding materials reflectance on the assessment of the photovoltaic potential in urban environments

Renormalization and blow up for wave maps from $S^2 \times \mathbb{R}$ to $S^2$