Publications related to Series acceleration

Solving the Infinite-horizon Constrained LQR Problem using Accelerated Dual Proximal Methods

Colin Neil Jones, Milan Korda, Georgios Stathopoulos

This work presents an algorithmic scheme for solving the infinite-time constrained linear quadratic regulation problem. We employ an accelerated version of a popular proximal gradient scheme, commonly known as the Forward-Backward Splitting (FBS), and prov ...

Institute of Electrical and Electronics Engineers2017

Exact Diffusion for Distributed Optimization and Learning---Part II: Convergence Analysis

Ali H. Sayed, Bicheng Ying, Kun Yuan

Part I of this work developed the exact diffusion algorithm to remove the bias that is characteristic of distributed solutions for deterministic optimization problems. The algorithm was shown to be applicable to a larger set of combination policies than ea ...

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

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

A methodology for the rigorous verification of Particle-in-Cell simulations

Paolo Ricci, Fabio Riva, Carrie Fiona Beadle

A methodology to perform a rigorous verification of Particle-in-Cell (PIC) simulations is presented, both for assessing the correct implementation of the model equations (code verification), and evaluating the numerical uncertainty affecting the simulation ...

American Institute of Physics2017

A methodology for the rigorous verification of plasma simulation codes

Paolo Ricci, Joaquim Loizu Cisquella, Paola Paruta, Sébastien Jolliet, Federico David Halpern, Fabio Riva, Annamaria Mosetto, Christoph Wersal, Carrie Fiona Beadle

A methodology to perform a rigorous verification of Particle-in-Cell (PIC) simulations is presented, both for assessing the correct implementation of the model equations (code verification), and evaluating the numerical uncertainty affecting the simulation ...

2017

Location Accuracy Evaluation of ToA-Based Lightning Location Systems Over Mountainous Terrain

Marcos Rubinstein, Wolfgang Schulz, Dongshuai Li

In this paper, we analyze the location error of time of arrival (ToA)-based lightning location systems (LLSs) caused by propagation effects over mountainous terrain around the Santis tower located in the Swiss Alps. The study is based on a full-wave three- ...

Amer Geophysical Union2017

Localized orthogonal decomposition method for the wave equation with a continuum of scales

Assyr Abdulle, Patrick Henning

In this paper we propose and analyze a new multiscale method for the wave equation. The proposed method does not require any assumptions on space regularity or scale-separation and it is formulated in the framework of the Localized Orthogonal Decomposition ...

American Mathematical Society2017

MATHICSE Technical Report : Adaptative isogeometric methods with hierarchical splines: optimality and convergence rates

Annalisa Buffa

We consider an adaptive isogeometric method (AIGM) based on (truncated) hierarchical B-splines and continue the study of its numerical properties. We prove that our AIGM is optimal in the sense that delivers optimal convergence rates as soon as the solutio ...

MATHICSE2017

Verification and validation procedures with applications to plasma-edge turbulence simulations

Fabio Riva

Understanding the plasma dynamics in tokamaks is of fundamental importance to reliably predict the performances of future fusion devices. Because of the complex phenomena at play, state-of-the-art simulation codes are needed to investigate the plasma dynam ...

EPFL2017

Series acceleration

Solving the Infinite-horizon Constrained LQR Problem using Accelerated Dual Proximal Methods

Exact Diffusion for Distributed Optimization and Learning---Part II: Convergence Analysis

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

A methodology for the rigorous verification of Particle-in-Cell simulations

A methodology for the rigorous verification of plasma simulation codes

Location Accuracy Evaluation of ToA-Based Lightning Location Systems Over Mountainous Terrain

Localized orthogonal decomposition method for the wave equation with a continuum of scales

MATHICSE Technical Report : Adaptative isogeometric methods with hierarchical splines: optimality and convergence rates

Verification and validation procedures with applications to plasma-edge turbulence simulations

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Solving the Infinite-horizon Constrained LQR Problem using Accelerated Dual Proximal Methods

Exact Diffusion for Distributed Optimization and Learning---Part II: Convergence Analysis

MATHICSE Technical Report : Adaptative isogeometric methods with hierarchical splines: optimality and convergence rates

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

A methodology for the rigorous verification of Particle-in-Cell simulations

Localized orthogonal decomposition method for the wave equation with a continuum of scales

Location Accuracy Evaluation of ToA-Based Lightning Location Systems Over Mountainous Terrain

Verification and validation procedures with applications to plasma-edge turbulence simulations

A methodology for the rigorous verification of plasma simulation codes

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