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- W2241844298 abstract "Countable systems of ordinary differential equations appear frequently in chemistry, physics, biology and medicine. They can be considered as ordinary differential equations in sequence spaces. In this work, a full adaptive algorithm for the computational treatment of such systems is developed. The method combines time discretization with extrapolation in Hilbert spaces with a discrete Galerkin approach as discretization of the stationary subproblems. The Galerkin method is based on orthogonal functions of a discrete variable , which are generated by certain weight functions. A theory of countable systems in the associated weighted sequence spaces is developed as well as a theory of the Galerkin method. The Galerkin equations can be assembled either by use of analytical properties of the orthogonal functions or numerically by a multilevel summation algorithm. The resulting algorithm CODEX is applied to many examples of technological interest, in particular from polymer chemistry." @default.
- W2241844298 created "2016-06-24" @default.
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- W2241844298 date "1990-11-26" @default.
- W2241844298 modified "2023-09-27" @default.
- W2241844298 title "Numerical Treatment of Countable Systems of Ordinary Differential Equations." @default.
- W2241844298 hasPublicationYear "1990" @default.
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