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 TitleAuthors / EditorsDate
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Weak Second Order Multirevolution Composition Methods for Highly Oscillatory Stochastic Differential Equations with Additive or Multiplicative Noise Vilmart, Gilles 2014
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Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations Abdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C. 2013
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The role of symplectic integrators in optimal control Chyba, Monique; Hairer, Ernst; Vilmart, Gilles 2009
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The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods Abdulle, Assyr; Vilmart, Gilles 2011
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Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions Bertoli, Guillaume Balthazar; Besse, Christophe; Vilmart, Gilles 2021
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Strang Splitting Method for Semilinear Parabolic Problems With Inhomogeneous Boundary Conditions: A Correction Based on the Flow of the Nonlinearity Bertoli, Guillaume Balthazar; Vilmart, Gilles 2020
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Splitting methods with complex times for parabolic equations Castella, F.; Chartier, P.; Descombes, S.; Vilmart, Gilles 2009
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Rigid body dynamics Vilmart, Gilles 2015
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Reducing round-off errors in rigid body dynamics Vilmart, Gilles 2008
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Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems Abdulle, Assyr; Bai, Yun; Vilmart, Gilles 2015
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Preprocessed Discrete Moser-Veselov algorithm for the full dynamics of the rigid body Hairer, Ernst; Vilmart, Gilles 2006
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Postprocessed Integrators for the High Order Integration of Ergodic SDEs Vilmart, Gilles 2015
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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 2013
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Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations Abdulle, Assyr; Almuslimani, Ibrahim; Vilmart, Gilles 2018
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Numerical integrators based on modified differential equations Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles 2007
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Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations Laurent, Adrien; Vilmart, Gilles 2020
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Multi-revolution composition methods for highly oscillatory differential equations Chartier, Philippe; Makazaga, Joseba; Murua, Ander; Vilmart, Gilles 2014
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Modified differential equations Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles 2007
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Mean-square A-stable diagonally drift-implicit integrators of weak second order for stiff Itô stochastic differential equations Abdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C. 2013
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Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics Abdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C. 2015
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