Titlebook: Lie Groups, Differential Equations, and Geometry; Advances and Surveys Giovanni Falcone Book 2017 Springer International Publishing AG 2017

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Giovanni FalconeLinking several questions in Mathematics, such as linearization and approximation, non-associativity, exponentiation and differentiation, Lie theory plays a major part in many branches of Mathematics,

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The BCH-Formula and Order Conditions for Splitting Methods,As an application of the BCH-formula, order conditions for splitting schemes are derived. The same conditions can be obtained by using non-commutative power series techniques and inspecting the coefficients of Lyndon–Shirshov words.

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