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The explicit computation of integration algorithms and first integrals for ordinary differential equations with polynomial coefficients using trees
Papers from the international symposium on Symbolic and algebraic computation - ISSAC '92
This note is concerned with the explicit symbolic computation of expressions involving differential operators and their actions on functions. The derivation of specialized numerical algorithms, the explicit symbolic computation of integrals of motion, and the explicit computation of normal forms for nonlinear systems all require such computations. More precisely, if R = k[x1, . . ., xN ], where k = R or C, F denotes a differential operator with coefficients from R, and g ∈ R, we describe datadoi:10.1145/143242.143277 dblp:conf/issac/CrouchG92 fatcat:iymszws3p5flpejuj5incjcwca