Publications related to Scaling, optimality, and landscape evolution

Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$

Joachim Krieger, Roland Donninger, Min Huang

For the critical focusing wave equation

\Box u = u^5

on

\mathbb{R}^{3+1}

in the radial case, we construct a family of blowup solutions which are obtained from the stationary solutions

W(r)

by means of a dynamical rescaling $\lambda(t)\frac{1}{2}W(\la ...

Michigan Mathematical Journal2014

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Benoit Till Cretegny

Identification of kinetic models and estimation of reaction and mass-transfer parameters can be performed using the extent-based identification method, whereby each chemical/physical process is treated individually. This method is used here to analyze gas- ...

2013

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Dominique Bonvin, Julien Léo Billeter, Sriniketh Srinivasan, Benoit Till Cretegny

Identification of kinetic models and estimation of reaction and mass-transfer parameters can be performed using the extent-based identification method, whereby each chemical/physical process is handled separately [1-3]. This method is used here to analyze ...

2013

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Adelmo Cristiano Innocenza Malossi

The aim of this work is the development of a geometrical multiscale framework for the simulation of the human cardiovascular system under either physiological or pathological conditions. More precisely, we devise numerical algorithms for the partitioned so ...

EPFL2012

Numerical algorithm for feedback linearizable systems

Dominique Bonvin, Philippe Müllhaupt

A numerical algorithm that achieves asymptotic stability for feedback linearizable systems is presented. The nonlinear systems can be represented in various forms that include differential equations, simulated physical models or lookup tables. The proposed ...

American Institute of Physics2012

Optimization Problem Coupled with Differential Equations: A Numerical Algorithm Mixing an Interior-Point Method and Event Detection

Jacques Rappaz, Alexandre Caboussat, Christian Landry

The numerical analysis of a dynamic constrained optimization problem is presented. It consists of a global minimization problem that is coupled with a system of ordinary differential equations. The activation and the deactivation of inequality constraints ...

2010

Numerical Models for Differential Problems

Alfio Quarteroni

In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as w ...

Springer2009

Numerical analysis of optimization-constrained differential equations

Chantal Landry

The modeling of a system composed by a gas phase and organic aerosol particles, and its numerical resolution are studied. The gas-aerosol system is modeled by ordinary differential equations coupled with a mixed-constrained optimization problem. This coupl ...

EPFL2009

Optimal Multi-Processor SoC Thermal Simulation via Adaptive Differential Equation Solvers

Giovanni De Micheli, David Atienza Alonso, Ayse Kivilcim Coskun, Francesco Zanini

Thermal management is a critical challenge in the design of high performance multi-processor system-on-chips (MPSoCs). Therefore, accurate and fast thermal modeling tools are necessary for efficiently analyzing the thermal profiles of MPSoCs. This paper ad ...

IEEE/IFIP Press2009

Modelling Coupled Mechanics, Moisture and Heat in Pavement Structures

Lyesse Laloui

Different physical problems have been analysed in the preceding {chapters}: they relate to water transfer, to heat transfer, to pollutant transfer and to mechanical equilibrium. All these problems are governed by differential equations and boundary conditi ...

Springer2008

Scaling, optimality, and landscape evolution

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Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Numerical algorithm for feedback linearizable systems

Optimization Problem Coupled with Differential Equations: A Numerical Algorithm Mixing an Interior-Point Method and Event Detection

Numerical Models for Differential Problems

Numerical analysis of optimization-constrained differential equations

Optimal Multi-Processor SoC Thermal Simulation via Adaptive Differential Equation Solvers

Modelling Coupled Mechanics, Moisture and Heat in Pavement Structures

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Numerical algorithm for feedback linearizable systems

Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$

Modelling Coupled Mechanics, Moisture and Heat in Pavement Structures

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Numerical analysis of optimization-constrained differential equations

Optimization Problem Coupled with Differential Equations: A Numerical Algorithm Mixing an Interior-Point Method and Event Detection

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Numerical Models for Differential Problems

Optimal Multi-Processor SoC Thermal Simulation via Adaptive Differential Equation Solvers