Publications related to MATHICSE Technical Report : A stochastic collocation method for the second order wave equation with a discontiuous random speed

On the equation A del u plus (del u)(t) A = G

Let Omega subset of R-n be an open set, A is an element of R-nxn and G : Omega -> R-nxn be given. We look for a solution u : Omega -> R-n of the equation A del u + (del u)(t) A = G We also study the associated Dirichlet problem. (C) 2020 Elsevier Ltd. All ...

PERGAMON-ELSEVIER SCIENCE LTD2020

MATHICSE Technical Report: A posteriori error estimation for the stochastic collocation finite element approximation of the heat equation with random coefficients

Fabio Nobile, Eva Vidlicková

In this work we present a residual based a posteriori error estimation for a heat equation with a random forcing term and a random diffusion coefficient which is assumed to depend affinely on a finite number of independent random variables. The problem is ...

MATHICSE2019

Time and space adaptivity of the wave equation discretized in time by a second-order scheme

Marco Picasso, Olga Gorynina

The aim of this paper is to obtain a posteriori error bounds of optimal order in time and space for the linear second-order wave equation discretized by the Newmark scheme in time and the finite element method in space. An error estimate is derived in the ...

2019

The effects of slide cohesion on impulse-wave formation

Christophe Ancey, Zhenzhu Meng

Experimental studies of impulse-wave formation have mostly used rigid blocks or granular materials to mimic landslides at the laboratory scale. These studies have deduced that material deformability plays a key part in wave formation: the more rigid the sl ...

2019

Chebyshev Inequalities for Products of Random Variables

Daniel Kuhn, Napat Rujeerapaiboon, Wolfram Wiesemann

We derive sharp probability bounds on the tails of a product of symmetric non-negative random variables using only information about their first two moments. If the covariance matrix of the random variables is known exactly, these bounds can be computed nu ...

2018

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

Joachim Krieger

We show that the finite time type II blow up solutions for the energy critical nonlinear wave equation [ \Box u = -u^5 ] on

\mathbb{R}^{3+1}

constructed in [28], [27] are stable along a co-dimension three manifold of radial data perturbations in a suit ...

2018

Wave atlas for Swiss lakes: modeling design waves in mountainous lakes.

Azin Amini, Philippe Heller, Blaise Etienne Marceau Dhont

The present study aims to provide a comprehensive wave atlas for Swiss lakes. The atlas is an adequate tool that contains wave characteristics of extreme events derived from numerical calculations. Swiss lakes are surrounded by mountains, and the wind fiel ...

Taylor & Francis Ltd2017

Understanding the destabilizing role for surface tension in planar shear flows in terms of wave interaction

François Gallaire, Luca Biancofiore

Both surface tension and buoyancy force in stable stratification act to restore perturbed interfaces back to their initial positions. Hence, both are intuitively considered as stabilizing agents. Nevertheless, the Taylor-Caulfield instability is a countere ...

Amer Physical Soc2017

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash, Eva Vidlicková

In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of 2S dynamical ...

MATHICSE2017

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash

In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of

2S

dynamica ...

2017

MATHICSE Technical Report : A stochastic collocation method for the second order wave equation with a discontiuous random speed

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On the equation A del u plus (del u)(t) A = G

MATHICSE Technical Report: A posteriori error estimation for the stochastic collocation finite element approximation of the heat equation with random coefficients

Time and space adaptivity of the wave equation discretized in time by a second-order scheme

The effects of slide cohesion on impulse-wave formation

Chebyshev Inequalities for Products of Random Variables

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

Wave atlas for Swiss lakes: modeling design waves in mountainous lakes.

Understanding the destabilizing role for surface tension in planar shear flows in terms of wave interaction

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Time and space adaptivity of the wave equation discretized in time by a second-order scheme

Wave atlas for Swiss lakes: modeling design waves in mountainous lakes.

On the equation A del u plus (del u)(t) A = G

MATHICSE Technical Report: A posteriori error estimation for the stochastic collocation finite element approximation of the heat equation with random coefficients

The effects of slide cohesion on impulse-wave formation

Chebyshev Inequalities for Products of Random Variables

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

Understanding the destabilizing role for surface tension in planar shear flows in terms of wave interaction

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Symplectic Dynamical Low Rank approximation of wave equations with random parameters