Solving nonlinear differential algebraic equations by an implicit \(GL(n, \mathbb R)\) Lie-group method (Q364608)

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scientific article; zbMATH DE number 6206893
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Solving nonlinear differential algebraic equations by an implicit \(GL(n, \mathbb R)\) Lie-group method
scientific article; zbMATH DE number 6206893

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    Solving nonlinear differential algebraic equations by an implicit \(GL(n, \mathbb R)\) Lie-group method (English)
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    9 September 2013
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    Summary: We derive an implicit \(GL(n, \mathbb R)\) Lie-group algorithm together with the Newton iterative scheme to solve nonlinear differential algebraic equations. Four numerical examples are given to evaluate the efficiency and accuracy of the new method when comparing the computational results with the closed-form solutions.
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