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Computer algebra - systems and algorithms for algebraic computation (2. ed.)
TLDR
Part 1 How to use a computer algebra system introduction features of computer algebra systems syntax of the associated languages areas covered by existing systems computer algebra by example MACSYMA's possibilities in algebra general possibilities the division of the circle into 17 equal parts availability of MACSY MA other systems AXIOM. Expand
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An Algorithm to Obtain Formal Solutions of a Linear Homogeneous Differential Equation at an Irregular Singular Point
TLDR
The algorithm DELIRE (Linear Differential Equation Irregular and REgular singularities) presented in this paper gives the formal solutions (normal and sub-normal) at an irregular singular point of a linear homogeneous differential operator, whose coefficients are formal Puiseux series. Expand
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Formal solutions of differential equations in the neighborhood of singular points (Regular and Irregular)
TLDR
This paper presents an algorithm for building a fundamental system of formal solutions in the neighbourhood of every singularity of a linear homogenous differential operator. Expand
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An algebraic form of a solution of a system of linear differential equations with constant coefficients
  • E. Tournier
  • Mathematics, Computer Science
  • EUROSAM
  • 1 June 1979
TLDR
In this paper we describe an algorithm for finding an algebraic form for a solution of a system of linear differential equations with constant coefficients, using the properties of elementary divisors of a polynomial matrix. Expand
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Formal solutions of linear difference equations: method of Pincherle-Ramis
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Hybrid Systems and Hybrid Computation 1st Part: Hybrid Systems
TLDR
In the first part of this paper we will give a short historical survey of the field of hybrid systems, a precise definition of a hybrid system and some comments on the definition. Expand
  • 1
Computer algebra and differential equations
1. Motivation and introduction to the theory of D-modules B. Malgrange 2. D-modules, an overview towards effectivity Ph. Maisonobe 3. Introduction to the Ecalle theory E. Delabaere 4. PerturbationExpand
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