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Grobner Bases in Symbolic Analysis

Publisher
De Gruyter
Year
2007
Tongue
English
Leaves
360
Series
Radon Series on Computational and Applied Mathematics
Category
Library
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✦ Synopsis

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.

✦ Table of Contents

Preface
Gröbner Bases in Algebraic Analysis: New Perspectives for Applications
Solving Systems of Linear Partial Difference and Differential Equations with Constant Coefficients Using Gröbner Bases
Computation of the Strength of Systems of Difference Equations via Generalized Gröbner Bases
Editors' Note in Memory of Giuseppa Carra Ferro
A Survey on Differential Gröbner Bases
Differential Elimination and Biological Modelling
Janet Bases and Applications
Spencer Cohomology, Differential Equations, and Pommaret Bases
Differential Invariants for Lie Pseudo-groups
Invariant Theory and Differential Operators
Compatibility Complexes for Overdetermined Boundary Problems
On Initial Value Problems for Ordinary Differential-Algebraic Equations
Index

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