Gröbner bases in symbolic analysis / edited by Markus Rosenkranz, Dongming Wang.

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Material type: Text

TextSeries: Radon series on computational and applied mathematics ; 2.Publication details: Berlin ; New York : Walter De Gruyter, 2007.Description: 1 online resource (349 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783110922752
3110922754

Subject(s): Genre/Form:

Additional physical formats: Print version:: No titleDDC classification:

512.44
515.35 22

LOC classification:

QA251.3 .G765 2007eb

Online resources:

Click here to access online

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 OperatorsCompatibility Complexes for Overdetermined Boundary Problems; On Initial Value Problems for Ordinary Differential-Algebraic Equations; Index

Summary: 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.

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Based on talks delivered at the Special Semester on Gröbner Bases and Related Methods, the D2 Workshop on Gröbner Bases in Symbolic Analysis (May 8-17, 2006) hosted by the Radon Institute of Computational and Applied Mathematics of the Austrian Academy of Sciences in Linz, Austria.

Includes bibliographical references and index.

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.

Invariant Theory and Differential OperatorsCompatibility Complexes for Overdetermined Boundary Problems; On Initial Value Problems for Ordinary Differential-Algebraic Equations; Index

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