Publications related to A self-learning algorithm for biased molecular dynamics

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

Fabio Nobile, Annalisa Buffa, Francesca Bonizzoni

We study the mixed formulation of the stochastic Hodge-Laplace problem dened on a

n

-dimensional domain

D (n ≥ 1)

, with random forcing term. In particular, we focus on the magnetostatic problem and on the Darcy problem in the three dimensional case. We ...

2014

Implicit coupling of one-dimensional and three-dimensional blood flow models with compliant vessels

Alfio Quarteroni, Simone Deparis, Adelmo Cristiano Innocenza Malossi, Paolo Crosetto

Simulating arterial trees in the cardiovascular system can be made by the help of different models, depending on the outputs of interest and the desired degree of accuracy. In particular, one-dimensional fluid-structure interaction models for arteries are ...

Society for Industrial and Applied Mathematics2013

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

Alfio Quarteroni, Christian Vergara, Luca Formaggia

In this work we discuss the reliability of the coupling among three-dimensional (3D) and one-dimensional (1D) models that describe blood flowing into the circulatory tree. In particular, we study the physical consistency of the 1D model with respect to the ...

Academic Press Inc Elsevier Science2013

Local discontinuous Galerkin methods for fractional diffusion equations

Jan Sickmann Hesthaven

We consider the development and analysis of local discontinuous Galerkin methods for fractional diffusion problems in one space dimension, characterized by having fractional derivatives, parameterized by beta in [1,2]. After demonstrating that a classic ap ...

EDP Sciences2013

Nondispersive solutions to the $L^2$-critical half-wave equation

Joachim Krieger

We consider the focusing

L^2

-critical half-wave equation in one space dimension

i \partial_t u = D u - |u|^2 u,

where

D

denotes the first-order fractional derivative. Standard arguments show that there is a critical threshold

M_* > 0

such that all ...

Springer Verlag2013

Translational dynamics of photoexcited atoms in 4He nanodroplets: the case of silver

Marcel Drabbels, Evgeniy Loginov, Alberto Hernando de Castro

The dynamics following the photoexcitation of Ag atoms in 4He nanodroplets via the 5p 2P1=2 ← 5s2S1=2 and 5p 2P3=2 ← 5s2S1=2 transitions has been investigated in a joint experimental and theoretical effort. It has been experimentally found that upon excita ...

Royal Soc Chemistry2013

Passing to the limit in maximal slope curves: from a regularized Perona–Malik equation to the total variation flow

Maria Colombo

We prove that solutions of a mildly regularized Perona–Malik equation converge, in a slow time scale, to solutions of the total variation flow. The convergence result is global-in-time, and holds true in any space dimension. The proof is based on the gener ...

2012

MATHICSE Technical Report : Moment equations for the mixed formulation of the Hodge Laplacian with stochastic data

Fabio Nobile, Annalisa Buffa, Francesca Bonizzoni

We study the mixed formulation of the stochastic Hodge-Laplace problem defined on a n-dimensional domain D (

n \geq 1

), with random forcing term. In particular, we focus on the magnetostatic problem and on the Darcy problem in the three dimensional case. ...

MATHICSE2012

Gaussian upper density estimates for spatially homogeneous SPDEs

We consider a general class of SPDEs in mathbb{R}^d driven by a Gaussian spatially homogeneous noise which is white in time. We provide sufficient conditions on the coefficients and the spectral measure associated to the noise ensuring that the density of ...

2012

A positive mass theorem for two spatial dimensions

Willie Wai Yeung Wong

We observe that an analogue of the Positive Mass Theorem in the time-symmetric case for three-space-time-dimensional general relativity follows trivially from the Gauss-Bonnet theorem. In this case we also have that the spatial slice is diffeomorphic to $\ ...

pre-print2012

A self-learning algorithm for biased molecular dynamics

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Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

Implicit coupling of one-dimensional and three-dimensional blood flow models with compliant vessels

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

Local discontinuous Galerkin methods for fractional diffusion equations

Nondispersive solutions to the $L^2$-critical half-wave equation

Translational dynamics of photoexcited atoms in 4He nanodroplets: the case of silver

Passing to the limit in maximal slope curves: from a regularized Perona–Malik equation to the total variation flow

MATHICSE Technical Report : Moment equations for the mixed formulation of the Hodge Laplacian with stochastic data

Gaussian upper density estimates for spatially homogeneous SPDEs

A positive mass theorem for two spatial dimensions

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

Passing to the limit in maximal slope curves: from a regularized Perona–Malik equation to the total variation flow

Gaussian upper density estimates for spatially homogeneous SPDEs

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

A positive mass theorem for two spatial dimensions

Implicit coupling of one-dimensional and three-dimensional blood flow models with compliant vessels

MATHICSE Technical Report : Moment equations for the mixed formulation of the Hodge Laplacian with stochastic data

Translational dynamics of photoexcited atoms in 4He nanodroplets: the case of silver

Nondispersive solutions to the $L^2$-critical half-wave equation

Local discontinuous Galerkin methods for fractional diffusion equations