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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

  • Conference proceedings
  • © 2014

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Editors:
  1. Moulay Barkatou

    1. XLIM, DMI, University of Limoges, Limoges cedex, France

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  2. Thomas Cluzeau

    1. XLIM, DMI, University of Limoges, Limoges cedex, France

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  3. Georg Regensburger

    1. Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria

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  4. Markus Rosenkranz

    1. SMAS, University of Kent, Canterbury, UK

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 8372)

Part of the book sub series: Theoretical Computer Science and General Issues (LNTCS)

Included in the following conference series:

Conference proceedings info: AADIOS 2012.

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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.

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Table of contents (9 papers)

  1. Front Matter

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  2. Constructions of Free Commutative Integro-Differential Algebras

    • Xing Gao, Li Guo
    Pages 1-22

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

    • José Gómez-Torrecillas
    Pages 23-82

  4. Operational Calculi for Nonlocal Cauchy Problems in Resonance Cases

    • Ivan Dimovski, Margarita Spiridonova
    Pages 83-95

  5. Intertwining Laplace Transformations of Linear Partial Differential Equations

    • Elena I. Ganzha
    Pages 96-115

  6. Composing and Factoring Generalized Green’s Operators and Ordinary Boundary Problems

    • Anja Korporal, Georg Regensburger
    Pages 116-134

  7. Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach II

    • Christoph Koutschan, Peter Paule, Sergei K. Suslov
    Pages 135-145

  8. Multivariate Dimension Polynomials of Inversive Difference Field Extensions

    • Alexander Levin
    Pages 146-163

  9. Differential (Monoid) Algebra and More

    • Laurent Poinsot
    Pages 164-189

  10. Exact Solution of Local and Nonlocal BVPs for the Laplace Equation in a Rectangle

    • Yulian Tsankov
    Pages 190-200

  11. Back Matter

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Other volumes

  1. Algebraic and Algorithmic Aspects of Differential and Integral Operators

Editors and Affiliations

  • XLIM, DMI, University of Limoges, Limoges cedex, France

    Moulay Barkatou, Thomas Cluzeau

  • Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria

    Georg Regensburger

  • SMAS, University of Kent, Canterbury, UK

    Markus Rosenkranz

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