Differential equations and solution of linear systems (Q2583216)

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Differential equations and solution of linear systems
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    Differential equations and solution of linear systems (English)
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    13 January 2006
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    Iterative processes are interpreted as discrete dynamic systems or by discretizations of differential systems. The author derives iterative schemes for solving systems of linear equations by modeling the problems as stable states of differential systems. Then the stable state is obtained by computing the trajectories and accepting their limits as solutions. Convergence results and numerical illustrations are presented.
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    iterative methods
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    preconditioning
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    numerical examples
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    discrete dynamic systems
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    discretizations of differential systems
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    convergence
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