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math.NA2018★ 5 cited
Stochastic B-series and order conditions for exponential integrators
Alemayehu Adugna Arara, Kristian Debrabant, Anne Kværnø
We discuss stochastic differential equations with a stiff linear part and their approximation by stochastic exponential integrators. Representing the exact and approximate solution…
math.NA2012★ 5 cited
Systematic Improvement of Splitting Methods for the Hamilton Equations
Asif Mushtaq, Anne Kværnø, Kåre Olaussen
We show how the standard (St{ö}rmer-Verlet) splitting method for differential equations of Hamiltonian mechanics (with accuracy of order for a timestep of length ) can be…