Computer algebra and algebraic analysis
Computer algebra and algebraic analysis
Este artículo describe algunas aplicaciones del Álgebra Computacional al Análisis Algebraico, también conocido como teoría de D-módulos, es decir, el estudio algebraico de sistemas lineales de ecuaciones en derivadas parciales. Mostramos cómo calcular diferentes objetos e invariantes en teoría de D-módulos, utilizando bases de Groebner para anillos de operadores diferenciales lineales.
This paper describes some applications of Computer Algebra to Algebraic Analysis also known as D-module theory, i.e. the algebraic study of the systems of linear partial differential equations. One shows how to compute different objects and invariants in D-module theory, by using Groebner bases for ring of linear differential operators.
- University of Seville Spain
Linear differential operator, Holonomic module, Characteristic variety, Logarithmic derivation, Weyl algebra, Logarithmic An-module, Logarithmic differential form
Linear differential operator, Holonomic module, Characteristic variety, Logarithmic derivation, Weyl algebra, Logarithmic An-module, Logarithmic differential form
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