Publications related to Real-time compensation of hysteresis in piezoelectric-stack actuator tracking a stochastic reference

Thumbnail galleries for procedural models

Mark Pauly, Pablo Federico Mueller, Boris Neubert, Stefan Lienhard

Procedural modeling allows for the generation of innumerable variations of models from a parameterized, conditional or stochastic rule set. Due to the abstractness, complexity and stochastic nature of rule sets, it is often very difficult to have an unders ...

Wiley-Blackwell2014

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

On the Connection between the Hamilton-Jacobi-Bellman and the Fokker-Planck Control Frameworks

Fabio Nobile

In the framework of stochastic processes, the connection between the dynamic programming scheme given by the Hamilton-Jacobi-Bellman equation and a recently proposed control approach based on the Fokker-Planck equation is discussed. Under appropriate assum ...

2014

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

Markov chains with discontinuous drifts have differential inclusion limits

Nicolas Gabriel Gast

In this paper, we study deterministic limits of Markov processes having discontinuous drifts. While most results assume that the limiting dynamics is continuous, we show that these conditions are not necessary to prove convergence to a deterministic system ...

Elsevier2012

Combining cellular automata and lattice Boltzmann method to model multiscale avascular tumor growth coupled with nutrient diffusion and immune competition

Davide Alemani

In the last decades the Lattice Boltzmann method (LB) has been successfully used to simulate a variety of processes. The LB model describes the microscopic processes occurring at the cellular level and the macroscopic processes occurring at the continuum l ...

2012

High weak order methods for stochastic equations based on modified equations

Assyr Abdulle, Gilles Vilmart, David Cohen

Inspired by recent advances in the theory of modified differential equations, we propose a new methodology for constructing numerical integrators with high weak order for the time integration of stochastic differential equations. This approach is illustrat ...

Siam Publications2012

A Trajectory-based Calibration Method for Stochastic Motion Models

Alcherio Martinoli, Massimo Mastrangeli, Grégory Mermoud, Ezequiel Leonardo Di Mario

In this paper, we present a quantitative, trajectory-based method for calibrating stochastic motion models of water-floating robots. Our calibration method is based on the Correlated Random Walk (CRW) model, and consists in minimizing the Kolmogorov-Smirno ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Stochastic integrals for spde's: A comparison

Robert Dalang

We present the Walsh theory of stochastic integrals with respect to martingale measures, and various extensions of this theory, alongside of the Da Prato and Zabczyk theory of stochastic integrals with respect to Hilbert-space-valued Wiener processes, and ...

Elsevier2011

Fast Adaptive Uniformization for the Chemical Master Equation

Maria-Emanuela-Canini Mateescu, Verena Wolf

Within systems biology there is an increasing interest in the stochastic behavior of biochemical reaction networks. An appropriate stochastic description is provided by the chemical master equation, which represents a continuous-time Markov chain (CTMC). S ...

Ieee Computer Soc Press, Customer Service Center, Po Box 3014, 10662 Los Vaqueros Circle, Los Alamitos, Ca 90720-1264 Usa2009

Real-time compensation of hysteresis in piezoelectric-stack actuator tracking a stochastic reference

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Thumbnail galleries for procedural models

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

On the Connection between the Hamilton-Jacobi-Bellman and the Fokker-Planck Control Frameworks

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

Markov chains with discontinuous drifts have differential inclusion limits

Combining cellular automata and lattice Boltzmann method to model multiscale avascular tumor growth coupled with nutrient diffusion and immune competition

High weak order methods for stochastic equations based on modified equations

A Trajectory-based Calibration Method for Stochastic Motion Models

Stochastic integrals for spde's: A comparison

Fast Adaptive Uniformization for the Chemical Master Equation

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

Markov chains with discontinuous drifts have differential inclusion limits

Thumbnail galleries for procedural models

Fast Adaptive Uniformization for the Chemical Master Equation

Stochastic integrals for spde's: A comparison

A Trajectory-based Calibration Method for Stochastic Motion Models

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

On the Connection between the Hamilton-Jacobi-Bellman and the Fokker-Planck Control Frameworks

Combining cellular automata and lattice Boltzmann method to model multiscale avascular tumor growth coupled with nutrient diffusion and immune competition

High weak order methods for stochastic equations based on modified equations