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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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High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs Abdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C. 2014
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Design and analysis of integrators for stiff and Hamiltonian problems Zbinden, Christophe 2013
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On conjugate symplecticity of B-series integrators Hairer, Ernst; Zbinden, Christophe 2013
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High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations Abdulle, Assyr; Cohen, David; Vilmart, Gilles; Zygalakis, Konstantinos C. 2012
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The role of symplectic integrators in optimal control Chyba, Monique; Hairer, Ernst; Vilmart, Gilles 2009
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Important aspects of geometric numerical integration Hairer, Ernst 2005
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Explicit, time reversible, adaptive step size control Hairer, Ernst; Soederlind, Gustaf 2005
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Energy conservation with non-symplectic methods: examples and counter-examples Faou, Erwan; Hairer, Ernst; Pham, Truong-Linh 2004
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Symmetric multistep methods over long times Hairer, Ernst; Lubich, Christian 2004
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GniCodes - Matlab programs for geometric numerical integration Hairer, Ernst; Hairer, Martin 2003
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Global modified Hamiltonian for constrained symplectic integrators Hairer, Ernst 2003
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Asymptotic expansions and backward analysis for numerical integrators Hairer, Ernst; Lubich, Christian 2000
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Long-time energy conservation of numerical methods for oscillatory differential equations Hairer, Ernst; Lubich, Christian 2000
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The life-span of backward error analysis for numerical integrators Hairer, Ernst; Lubich, Christian 1997
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Variable time step integration with symplectic methods Hairer, Ernst 1997
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Variable time step integration with symplectic methods Hairer, Ernst 1997