Publications related to Estimation of A-type Piano Key weir rating curve

Fast global spectral methods for three-dimensional partial differential equations

Daniel Kressner, Christoph Max Strössner

Global spectral methods offer the potential to compute solutions of partial differential equations numerically to very high accuracy. In this work, we develop a novel global spectral method for linear partial differential equations on cubes by extending th ...

OXFORD UNIV PRESS2022

Probabilistic and Bayesian methods for uncertainty quantification of deterministic and stochastic differential equations

Giacomo Garegnani

In this thesis we explore uncertainty quantification of forward and inverse problems involving differential equations. Differential equations are widely employed for modeling natural and social phenomena, with applications in engineering, chemistry, meteor ...

EPFL2021

A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations

Jan Sickmann Hesthaven

The homotopy continuation method has been widely used to compute multiple solutions of nonlinear differential equations, but the computational cost grows exponentially based on the traditional finite difference and finite element discretizations. In this w ...

SPRINGER/PLENUM PUBLISHERS2020

Dynamical System Modeling of Self-Regulated Systems Undergoing Multiple Excitations: First Order Differential Equation Approach

Julien Gilles Edgar Gateau

This article proposes a dynamical system modeling approach for the analysis of longitudinal data of self-regulated homeostatic systems experiencing multiple excitations. It focuses on the evolution of a signal (e.g., heart rate) before, during, and after e ...

ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD2020

On the stability of blowup solutions for the critical corotational wave-map problem

Joachim Krieger, Shuang Miao

We show that the finite time blow up solutions for the co-rotational Wave Maps problem constructed in [7,15] are stable under suitably small perturbations within the co-rotational class, provided the scaling parameter

λ(t)=t−1−ν

is sufficiently close to ...

2020

Meta-concrete by means of discrete element method

Sacha Zenon Wattel

The basis of the discrete element method is to model masses interacting with each other through different forces and constraints. On each mass, the second law of Newton is applied to obtain a differential equation. From this equation and boundary condition ...

2019

A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics

Alfio Quarteroni, Niccolò Dal Santo

The aim of this work is to propose and analyse a new high-order discontinuous Galerkin finite element method for the time integration of a Cauchy problem for second-order ordinary differential equations. These equations typically arise after space semidisc ...

OXFORD UNIV PRESS2018

Dynamical Low Rank approximation of PDEs with random parameters

Eleonora Musharbash

In this work, we focus on the Dynamical Low Rank (DLR) approximation of PDEs equations with random parameters. This can be interpreted as a reduced basis method, where the approximate solution is expanded in separable form over a set of few deterministic b ...

EPFL2017

Parallel Algorithms for the Solution of Large-Scale Fluid-Structure Interaction Problems in Hemodynamics

Davide Forti

This thesis addresses the development and implementation of efficient and parallel algorithms for the numerical simulation of Fluid-Structure Interaction (FSI) problems in hemodynamics. Indeed, hemodynamic conditions in large arteries are significantly aff ...

EPFL2016

Modal Analysis Applied to the Stability Study of Hydroelectric Systems with Modular Structures

Power plants experience distinct dynamic behaviors according to the primary source of energy. Whereas thermal power plants have a slow dynamic, modern renewables such as wind and solar PV are subject to very fast variations, due to environmental factors. T ...

EPFL2015

Estimation of A-type Piano Key weir rating curve

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Fast global spectral methods for three-dimensional partial differential equations

Probabilistic and Bayesian methods for uncertainty quantification of deterministic and stochastic differential equations

A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations

Dynamical System Modeling of Self-Regulated Systems Undergoing Multiple Excitations: First Order Differential Equation Approach

On the stability of blowup solutions for the critical corotational wave-map problem

Meta-concrete by means of discrete element method

A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics

Dynamical Low Rank approximation of PDEs with random parameters

Parallel Algorithms for the Solution of Large-Scale Fluid-Structure Interaction Problems in Hemodynamics

Modal Analysis Applied to the Stability Study of Hydroelectric Systems with Modular Structures

Modal Analysis Applied to the Stability Study of Hydroelectric Systems with Modular Structures

Fast global spectral methods for three-dimensional partial differential equations

Probabilistic and Bayesian methods for uncertainty quantification of deterministic and stochastic differential equations

Meta-concrete by means of discrete element method

A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations

On the stability of blowup solutions for the critical corotational wave-map problem

Dynamical System Modeling of Self-Regulated Systems Undergoing Multiple Excitations: First Order Differential Equation Approach

Parallel Algorithms for the Solution of Large-Scale Fluid-Structure Interaction Problems in Hemodynamics

Dynamical Low Rank approximation of PDEs with random parameters

A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics