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This volume contains survey articles and original research papers, presenting the state of the art on applying the symbolic approach of Gröbner bases and related methods to differential and difference equations. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods hosted by the Johann Radon Institute of Computational and Applied Mathematics, Linz, Austria, in May 2006.

Gröbner bases --- Differential equations --- 517.91 Differential equations --- Gröbner basis theory --- Commutative algebra --- Kongress. --- Linz <2006> --- Algebras. --- base. --- ideal. --- polynomial. --- sybolic computation.