Theoretical Computer Science and General Issues

Algebraic and Algorithmic Aspects of Differential and Integral Operators

5th International Meeting, AADIOS 2012, Held at the Applications of Computer Algebra Conference, ACA 2012, Sofia, Bulgaria, June 25-28, 2012, Selected and Invited Papers

Editors: Barkatou, M., Cluzeau, Th., Regensburger, G., Rosenkranz, M. (Eds.)

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About this book

This book constitutes the proceedings of the 5th International Meeting on Algebraic and Algorithmic Aspects of Differential and Integral Operators, AADIOS 2012, held at the Applications of Computer Algebra Conference in Sofia, Bulgaria, on June 25-28, 2012. The total of 9 papers presented in this volume consists of 2 invited papers and 7 regular papers which were carefully reviewed and selected from 13 submissions. The topics of interest are: symbolic computation for operator algebras, factorization of differential/integral operators, linear boundary problems and green's operators, initial value problems for differential equations, symbolic integration and differential galois theory, symbolic operator calculi, algorithmic D-module theory, rota-baxter algebra, differential algebra, as well as discrete analogs and software aspects of the above.

Table of contents (9 chapters)

  • Constructions of Free Commutative Integro-Differential Algebras

    Gao, Xing (et al.)

    Pages 1-22

  • Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras

    Gómez-Torrecillas, José

    Pages 23-82

  • Operational Calculi for Nonlocal Cauchy Problems in Resonance Cases

    Dimovski, Ivan (et al.)

    Pages 83-95

  • Intertwining Laplace Transformations of Linear Partial Differential Equations

    Ganzha, Elena I.

    Pages 96-115

  • Composing and Factoring Generalized Green’s Operators and Ordinary Boundary Problems

    Korporal, Anja (et al.)

    Pages 116-134

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-642-54479-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $72.00
price for USA
  • ISBN 978-3-642-54478-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic and Algorithmic Aspects of Differential and Integral Operators
Book Subtitle
5th International Meeting, AADIOS 2012, Held at the Applications of Computer Algebra Conference, ACA 2012, Sofia, Bulgaria, June 25-28, 2012, Selected and Invited Papers
Editors
  • Moulay Barkatou
  • Thomas Cluzeau
  • Georg Regensburger
  • Markus Rosenkranz
Series Title
Theoretical Computer Science and General Issues
Series Volume
8372
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-54479-8
DOI
10.1007/978-3-642-54479-8
Softcover ISBN
978-3-642-54478-1
Edition Number
1
Number of Pages
XII, 201
Topics