Gilles Vilmart: search on Z-Library

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1

The role of symplectic integrators in optimal control

Monique Chyba, Ernst Hairer, Gilles Vilmart

Journal:

Optimal Control Applications and Methods

Year:

2009

Language:

english

File:

PDF, 412 KB

english, 2009

2

Algebraic Structures of B-series

Philippe Chartier, Ernst Hairer, Gilles Vilmart

Journal:

Foundations of Computational Mathematics

Year:

2010

Language:

english

File:

PDF, 629 KB

english, 2010

3

Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

Abdulle, Assyr, Vilmart, Gilles

Journal:

Mathematics of Computation

Year:

2013

Language:

english

File:

PDF, 412 KB

english, 2013

4

High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations

Abdulle, Assyr, Cohen, David, Vilmart, Gilles, Zygalakis, Konstantinos C.

Journal:

SIAM Journal on Scientific Computing

Year:

2012

Language:

english

File:

PDF, 599 KB

english, 2012

5

Reducing round-off errors in rigid body dynamics

Journal:

Journal of Computational Physics

Year:

2008

Language:

english

File:

PDF, 445 KB

english, 2008

6

A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems

Assyr Abdulle, Gilles Vilmart

Journal:

Numerische Mathematik

Year:

2012

Language:

english

File:

PDF, 629 KB

english, 2012

7

The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods

Assyr Abdulle, Gilles Vilmart

Journal:

Comptes Rendus Mathematique

Year:

2011

Language:

french

File:

PDF, 165 KB

french, 2011

8

Multi-revolution composition methods for highly oscillatory differential equations

Chartier, Philippe, Makazaga, Joseba, Murua, Ander, Vilmart, Gilles

Journal:

Numerische Mathematik

Year:

2014

Language:

english

File:

PDF, 1.37 MB

english, 2014

9

PIROCK: A swiss-knife partitioned implicit–explicit orthogonal Runge–Kutta Chebyshev integrator for stiff diffusion–advection–reaction problems with or without noise

Abdulle, Assyr, Vilmart, Gilles

Journal:

Journal of Computational Physics

Year:

2013

Language:

english

File:

PDF, 3.61 MB

english, 2013

10

High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs

Abdulle, Assyr, Vilmart, Gilles, Zygalakis, Konstantinos C.

Journal:

SIAM Journal on Numerical Analysis

Year:

2014

Language:

english

File:

PDF, 925 KB

english, 2014

11

Weak Second Order Multirevolution Composition Methods for Highly Oscillatory Stochastic Differential Equations with Additive or Multiplicative Noise

Vilmart, Gilles

Journal:

SIAM Journal on Scientific Computing

Year:

2014

Language:

english

File:

PDF, 1.06 MB

english, 2014

12

Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations

Abdulle, Assyr, Vilmart, Gilles, Zygalakis, Konstantinos C.

Journal:

SIAM Journal on Scientific Computing

Year:

2013

Language:

english

File:

PDF, 1.11 MB

english, 2013

13

COUPLING HETEROGENEOUS MULTISCALE FEM WITH RUNGE–KUTTA METHODS FOR PARABOLIC HOMOGENIZATION PROBLEMS: A FULLY DISCRETE SPACETIME ANALYSIS

ABDULLE, ASSYR, VILMART, GILLES

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2012

Language:

english

File:

PDF, 685 KB

english, 2012

14

Modified differential equations

Chartier, Philippe, Hairer, Ernst, Vilmart, Gilles

Journal:

ESAIM Proceedings

Year:

2007

Language:

english

File:

PDF, 124 KB

english, 2007

15

Postprocessed Integrators for the High Order Integration of Ergodic SDEs

Vilmart, Gilles

Journal:

SIAM Journal on Scientific Computing

Year:

2015

Language:

english

File:

PDF, 909 KB

english, 2015

16

Long Time Accuracy of Lie--Trotter Splitting Methods for Langevin Dynamics

Abdulle, Assyr, Vilmart, Gilles, Zygalakis, Konstantinos C.

Journal:

SIAM Journal on Numerical Analysis

Year:

2015

Language:

english

File:

PDF, 475 KB

english, 2015

17

Preprocessed discrete Moser–Veselov algorithm for the full dynamics of a rigid body

Hairer, Ernst, Vilmart, Gilles

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2006

Language:

english

File:

PDF, 256 KB

english, 2006

18

Numerical Integrators Based on Modified Differential Equations

Philippe Chartier, Ernst Hairer and Gilles Vilmart

Journal:

Mathematics of Computation

Year:

2007

Language:

english

File:

PDF, 956 KB

english, 2007

19

Asymptotic Preserving numerical schemes for multiscale parabolic problems

Crouseilles, Nicolas, Lemou, Mohammed, Vilmart, Gilles

Journal:

Comptes Rendus Mathematique

Year:

2016

Language:

french

File:

PDF, 405 KB

french, 2016

20

High Order Integrator for Sampling the Invariant Distribution of a Class of Parabolic Stochastic PDEs with Additive Space-Time Noise

Bréhier, Charles-Edouard, Vilmart, Gilles

Journal:

SIAM Journal on Scientific Computing

Year:

2016

Language:

english

File:

PDF, 1.24 MB

english, 2016

21

Fast Langevin based algorithm for MCMC in high dimensions

Durmus, Alain, Roberts, Gareth O., Vilmart, Gilles, Zygalakis, Konstantinos C.

Journal:

The Annals of Applied Probability

Year:

2017

Language:

english

File:

PDF, 739 KB

english, 2017

22

Optimal Explicit Stabilized Integrator of Weak Order 1 for Stiff and Ergodic Stochastic Differential Equations

Abdulle, Assyr, Almuslimani, Ibrahim, Vilmart, Gilles

Journal:

SIAM/ASA Journal on Uncertainty Quantification

Year:

2018

Language:

english

File:

PDF, 2.19 MB

english, 2018

23

A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations

Chartier, Philippe, Lemou, Mohammed, Méhats, Florian, Vilmart, Gilles

Journal:

Foundations of Computational Mathematics

Year:

2019

Language:

english

File:

PDF, 2.28 MB

english, 2019

24

A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations

Chartier, Philippe, Lemou, Mohammed, Méhats, Florian, Vilmart, Gilles

Journal:

Foundations of Computational Mathematics

Year:

2019

File:

PDF, 2.28 MB

2019

25

Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations

Abdulle, Assyr, Pavliotis, Grigorios A., Vilmart, Gilles

Journal:

Comptes Rendus Mathematique

Year:

2019

File:

PDF, 539 KB

2019

26

Exotic aromatic B-series for the study of long time integrators for a class of ergodic SDEs

Laurent, Adrien, Vilmart, Gilles

Journal:

Mathematics of Computation

Year:

2019

Language:

english

File:

PDF, 474 KB

english, 2019

27

Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations

Laurent, Adrien, Vilmart, Gilles

Journal:

SIAM Journal on Scientific Computing

Year:

2020

Language:

english

File:

PDF, 962 KB

english, 2020

28

Explicit stabilised gradient descent for faster strongly convex optimisation

Eftekhari, Armin, Vandereycken, Bart, Vilmart, Gilles, Zygalakis, Konstantinos C.

Journal:

BIT Numerical Mathematics

Year:

2020

File:

PDF, 4.81 MB

2020

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