Concept

Initial value problem

Related publications (43)

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Real-time freeway traffic state estimation based on extended Kalman filter: A case study

This paper presents a case study of real-time traffic state estimation. The adopted general approach to the design of universal traffic state estimators for freeway stretches is based on stochastic macroscopic traffic flow modeling and extended Kalman filt ...

INFORMS2007

Learning Dynamical System Modulation for Constrained Reaching Tasks

Aude Billard, Sylvain Calinon, Micha Hersch

In this paper we combine kinesthetic demonstrations and dynamical systems to enable a humanoid robot to imitate constrained reaching gestures directed toward a target. Using a learning algorithm based on Gaussian Mixture Regression, the task constraints ar ...

2006

Uncertainty analysis for the steady-state flows in a dual throat nozzle

Jan Sickmann Hesthaven

It is well known that the steady state of an isentropic flow in a dual-throat nozzle with equal throat areas is not unique. In particular there is a possibility that the flow contains a shock wave, whose location is determined solely by the initial conditi ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2005

Modelling pesticides residues

Raphael Charles

This work is a contribution to the development of a specific method to assess the presence of residues in agricultural commodities. The following objectives are formulated: to identify and describe main processes in environment — plant exchanges, to build ...

EPFL2004

PATUMOD: a compartment model of vegetation dynamics in wooded pastures

François Gillet, Jean-Michel Gobat

A system of wooded pasture can be described by seven biological state variables (trees, shrubs, underwood grasslands, fallows, eutrophic meadows, oligrotrophic lawns and cattle) linked by a network of dynamic interactions, which are controlled by altitude ...

2002

Measurement campaign and numerical modelling in the complex topography of the Grenoble area (France) during summer '99

Hubert van den Bergh, Bertrand Calpini, Valentin Simeonov, Alain Clappier, Olivier Couach

Preliminary work confirmed the important contribution of regional scale processes on pollutant concns. obsd. at local scales. For Grenoble, France, the model domain for simulations discussed, was selected considering the topog., urban area distribution, bo ...

2001

Equations de type implicite avec contraintes

Chiara Tanteri

In this thesis we will treat the Dirichlet problem for systems of implicit equations, i.e. where Ω ⊂ Rn is an open set, u : Ω → Rm, Fi : Ω × Rm × Rm×n → R, m,n ≥ 1, are continuous functions and φ, the boundary datum, is given. At first we will be intereste ...

EPFL2000

Spectral penalty methods

Jan Sickmann Hesthaven

We present an overview of the theory and applications of spectral penalty methods for the stable solution of initial boundary value problems. Through a number of case studies we shall illustrate that imposing boundary conditions weakly through a penalty te ...

ELSEVIER SCIENCE BV2000

Extraction of the optic disk boundary in digital fundus images

Jean-Philippe Thiran, François Mendels

The methods of active contours (snakes) and level sets were applied to images of the retina in order to locate the outer boundary of the optic disk. A gradient-vector-flow based active contour was used as it performed well over a large range of initial con ...

IEEE1999

Object-oriented finite element programming

New technologies in computer science applied to numerical computations open the door to alternative approaches to mechanical problems using the finite element method. In classical approaches, theoretical developments often become cumbersome and the compute ...

EPFL1997