Algebraic and Algorithmic Aspects of Differential and Integral Operators [electronic resource] : 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 / edited by Moulay Barkatou, Thomas Cluzeau, Georg Regensburger, Markus Rosenkranz.

By: Barkatou, Moulay [editor.]Contributor(s): Cluzeau, Thomas [editor.] | Regensburger, Georg [editor.] | Rosenkranz, Markus [editor.] | SpringerLink (Online service)Material type: TextTextLanguage: English Series: Lecture Notes in Computer Science: 8372Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014Description: XII, 201 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783642544798Subject(s): Computer science | Computer software | Logic design | Computational complexity | Algebra -- Data processing | Differential equations, partial | Computer Science | Logics and Meanings of Programs | Mathematical Logic and Formal Languages | Discrete Mathematics in Computer Science | Algorithm Analysis and Problem Complexity | Symbolic and Algebraic Manipulation | Partial Differential EquationsAdditional physical formats: Printed edition:: No titleDDC classification: 005.1015113 LOC classification: QA76.9.L63QA76.5913QA76.63Online resources: Click here to access online
Contents:
Constructions of Free Commutative Integro-Differential Algebras -- Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras -- Operational Calculi for Nonlocal Cauchy Problems in Resonance Cases -- Intertwining Laplace Transformations of Linear Partial Differential Equations -- Composing and Factoring Generalized Green’s Operators and Ordinary Boundary Problems -- Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach II -- Multivariate Dimension Polynomials of Inversive Difference Field Extensions -- Differential (Monoid) Algebra and More -- Exact Solution of Local and Nonlocal BVPs for the Laplace Equation in a Rectangle.
In: Springer eBooksSummary: 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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Constructions of Free Commutative Integro-Differential Algebras -- Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras -- Operational Calculi for Nonlocal Cauchy Problems in Resonance Cases -- Intertwining Laplace Transformations of Linear Partial Differential Equations -- Composing and Factoring Generalized Green’s Operators and Ordinary Boundary Problems -- Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach II -- Multivariate Dimension Polynomials of Inversive Difference Field Extensions -- Differential (Monoid) Algebra and More -- Exact Solution of Local and Nonlocal BVPs for the Laplace Equation in a Rectangle.

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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