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Expansions that grow on trees. (English) Zbl 1126.34310
Summary: Most linear systems of ordinary differential equations can be solved only by techniques of approximation. The author discusses a method of geometric integration using rooted trees and graded Lie algebras.

MSC:
34A45 Theoretical approximation of solutions to ordinary differential equations
05C05 Trees
34A30 Linear ordinary differential equations and systems
65L05 Numerical methods for initial value problems involving ordinary differential equations
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