Symbolic computation of derivations using labelled trees

DOI10.1016/S0747-7171(10)80009-4zbMath0762.68035MaRDI QIDQ1198243

Robert L. Grossman, Richard Gustavus Larson

Publication date: 16 January 1993

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

algebra of treeslinear combinations of rooted laballed trees

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Data structures (68P05)

Related Items

Diagrams in classical and semiclassical perturbation theory ⋮ Differential algebra structures on families of trees. ⋮ On the combinatorics of the Hopf algebra of dissection diagrams ⋮ Hopf-algebraic structure of combinatorial objects and differential operators ⋮ An exponential formula for polynomial vector fields. II: Lie series, exponential substitution, and rooted trees ⋮ Numerical integration of ordinary differential equations on manifolds

Cites Work

• Solving nonlinear equations from higher order derivations in linear stages
• Hopf-algebraic structure of families of trees
• On the structure of Hopf algebras
• The Parallel Evaluation of General Arithmetic Expressions
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