Publications related to On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes

MATHICSE Technical Report : Fast solvers for 2D fractional differential equations using rank structured matrices

We consider the discretization of time-space diffusion equations with fractional derivatives in space and either 1D or 2D spatial domains. The use of implicit Euler scheme in time and finite differences or finite elements in space, leads to a sequence of d ...

MATHICSE2018

MATHICSE Technical Report : Quasi-Toeplitz matrix arithmetic : a Matlab toolbox

Stefano Massei

A Quasi Toeplitz (QT) matrix is a semi-infinite matrix of the kind

A = T(a) + E

where

T(a) = (aj-i)_{i,j\in \mathbb{Z}_{+}}

,

E = (e_{i,j})_{i,j\in\mathbb{Z}_{+}}

is compact and the norms

\| a\|_{\mathcal{W}} =\sum_{i\in\mathbb{Z}} |a|_j

and $|E|_{ ...

MATHICSE2018

Solving Rank-Structured Sylvester And Lyapunov Equations

Stefano Massei

We consider the problem of efficiently solving Sylvester and Lyapunov equations of medium and large scale, in case of rank-structured data, i.e., when the coefficient matrices and the right-hand side have low-rank off-diagonal blocks. This comprises proble ...

SIAM PUBLICATIONS2018

A monolithic algorithm for the simulation of cardiac electromechanics in the human left ventricle

Alfio Quarteroni, Antonello Gerbi

In this paper, we propose a monolithic algorithm for the numerical solution of the electromechanics model of the left ventricle in the human heart. Our coupled model integrates the monodomain equation with the Bueno-Orovio minimal model for electrophysiolo ...

AMER INST MATHEMATICAL SCIENCES-AIMS2018

MATHICSE Technical Report : Modelling spatially dependent functional data via regression with differential regularization

Fabio Nobile, Eleonora Arnone

We propose a method for modelling spatially dependent functional data, based on regression with differential regularization. The regularizing term enables to include problem-specific information about the spatio-temporal variation of phenomenon under study ...

MATHICSE2018

MATHICSE Technical Report : Low-rank updates and a divideand- conquer method for linear matrix equations

Daniel Kressner, Stefano Massei

Linear matrix equations, such as the Sylvester and Lyapunov equations, play an important role in various applications, including the stability analysis and dimensionality reduction of linear dynamical control systems and the solution of partial differentia ...

MATHICSE2017

The Particle-In-Fourier (PIF) Approach Applied to Gyrokinetic Simulations

Laurent Villard, Stephan Brunner, Emmanuel Lanti, Noé Thomas Elie Ohana, Claudio Gheller, Aaron Lewis Scheinberg

A widespread method for gyrokinetic simulations relies on the discretization of distribution functions with numerical markers. The electromagnetic field is typically represented on a grid by finite differences or finite elements (Particle-In-Cell, PIC). Wh ...

2017

MATHICSE Technical Report : Solving rank structured Sylvester and Lyapunov equations

Stefano Massei

We consider the problem of efficiently solving Sylvester and Lyapunov equations of medium and large scale, in case of rank-structured data, i.e., when the coefficient matrices and the right-hand side have low-rank off- diagonal blocks. This comprises probl ...

MATHICSE2017

Disjointness for measurably distal group actions and applications

Florian Karl Richter

We generalize Berg's notion of quasi-disjointness to actions of countable groups and prove that every measurably distal system is quasi-disjoint from every measure preserving system. As a corollary we obtain easy to check necessary and sufficient condition ...

2017

MATHICSE Technical Report : Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations

Assyr Abdulle, Gilles Vilmart

A new explicit stabilized scheme of weak order one for stiff and ergodic stochastic differential equations (SDEs) is introduced. In the absence of noise, the new method coincides with the classical deterministic stabilized scheme (or Chebyshev method) for ...

MATHICSE2017

On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes

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MATHICSE Technical Report : Fast solvers for 2D fractional differential equations using rank structured matrices

MATHICSE Technical Report : Quasi-Toeplitz matrix arithmetic : a Matlab toolbox

Solving Rank-Structured Sylvester And Lyapunov Equations

A monolithic algorithm for the simulation of cardiac electromechanics in the human left ventricle

MATHICSE Technical Report : Modelling spatially dependent functional data via regression with differential regularization

MATHICSE Technical Report : Low-rank updates and a divideand- conquer method for linear matrix equations

The Particle-In-Fourier (PIF) Approach Applied to Gyrokinetic Simulations

MATHICSE Technical Report : Solving rank structured Sylvester and Lyapunov equations

Disjointness for measurably distal group actions and applications

MATHICSE Technical Report : Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations

MATHICSE Technical Report : Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations

MATHICSE Technical Report : Low-rank updates and a divideand- conquer method for linear matrix equations

MATHICSE Technical Report : Modelling spatially dependent functional data via regression with differential regularization

Solving Rank-Structured Sylvester And Lyapunov Equations

A monolithic algorithm for the simulation of cardiac electromechanics in the human left ventricle

The Particle-In-Fourier (PIF) Approach Applied to Gyrokinetic Simulations

MATHICSE Technical Report : Solving rank structured Sylvester and Lyapunov equations

Disjointness for measurably distal group actions and applications

MATHICSE Technical Report : Quasi-Toeplitz matrix arithmetic : a Matlab toolbox

MATHICSE Technical Report : Fast solvers for 2D fractional differential equations using rank structured matrices