Gröbner Bases in Symbolic Analysis

Published by De Gruyter 2007

Gröbner Bases in Symbolic Analysis

Edited by: Markus Rosenkranz and Dongming Wang

Volume 2 in the series Radon Series on Computational and Applied Mathematics

https://doi.org/10.1515/9783110922752

Overview
Contents

About this book

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.

Author / Editor information

Markus Rosenkranz, Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria; Dongming Wang, Beihang University, Beijing, China.

Reviews

"Many a researchers and many a mathematics graduate will find its pages filled with a contagious enthusiasm packing a treasure of wisdom and delight into eleven chapters."
In: Current Engeneering Pratice 2009

Topics

i-iv Requires Authentication Unlicensed Licensed Download PDF	i
Preface Markus Rosenkranz and Dongming Wang Requires Authentication Unlicensed Licensed Download PDF	v
Contents Requires Authentication Unlicensed Licensed Download PDF	vii
Gröbner Bases in Algebraic Analysis: New Perspectives for Applications Jean-François Pommaret Requires Authentication Unlicensed Licensed Download PDF	1
Solving Systems of Linear Partial Difference and Differential Equations with Constant Coefficients Using Gröbner Bases Ulrich Oberst and Franz Pauer Requires Authentication Unlicensed Licensed Download PDF	23
Computation of the Strength of Systems of Difference Equations via Generalized Gröbner Bases Alexander Levin Requires Authentication Unlicensed Licensed Download PDF	43
Editors’ Note in Memory of Giuseppa Carrà Ferro Requires Authentication Unlicensed Licensed Download PDF	75
A Survey on Differential Gröbner Bases Giuseppa Carrà Ferro Requires Authentication Unlicensed Licensed Download PDF	77
Differential Elimination and Biological Modelling François Boulier Requires Authentication Unlicensed Licensed Download PDF	109
Janet Bases and Applications Daniel Robertz Requires Authentication Unlicensed Licensed Download PDF	139
Spencer Cohomology, Differential Equations, and Pommaret Bases Werner M. Seiler Requires Authentication Unlicensed Licensed Download PDF	169
Differential Invariants for Lie Pseudo-groups Peter Olver and Juha Pohjanpelto Requires Authentication Unlicensed Licensed Download PDF	217
Invariant Theory and Differential Operators William N. Traves Requires Authentication Unlicensed Licensed Download PDF	245
Compatibility Complexes for Overdetermined Boundary Problems Katsiaryna Krupchyk and Jukka Tuomela Requires Authentication Unlicensed Licensed Download PDF	267
On Initial Value Problems for Ordinary Differential-Algebraic Equations F. Leon Pritchard and William Y. Sit Requires Authentication Unlicensed Licensed Download PDF	283
Index Requires Authentication Unlicensed Licensed Download PDF	341

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers, Graduate Students of Mathematics; Academic Libraries
Pages
- Main content: 349
Illustrations
- Other: Illustrations
Keywords: Algebras; base; ideal; polynomial; sybolic computation

eBook

Published: December 22, 2011
ISBN: 9783110922752

Hardcover

Published: October 23, 2007
ISBN: 9783110193237