-
- HOME
-
- PDF (letter size)
-
- PDF (legal size)
Collection of papers related to Kovacic algorithm for
solving differential equations
December 31, 2020 Compiled on December 31, 2020 at 7:17am
Contents
These are collection of papers related to Kovacic algorithm for solving differential equations. As
I was studying the algorithm, I thought it will be good to have any related paper I find on the
subject in one place for easy access. The HTML version has only the outlines. Only the PDF
version has the actual papers shown.
Chapter 1
The papers
1.1 An Algorithm for Solving Second Order Linear Homogeneous Differential Equations
This is the original paper by JERALD J. KOVACIC.
1.2 An Implementation of Kovacic’s Algorithm for Solving Second Order Linear Homogeneous
Differential Equations
By B. David Saunders
1.3 A DISCUSSION AND IMPLEMENTATION OF KOVACICS ALGORITHM FOR
ORDINARY DIFFERENTIAL EQUATIONS
By Carolyn J. Smith.
1.4 Kovacic’s Algorithm and Its Application to Some Families of Special Functions
By Anne Duval, and Michele Loday-Richaud.
1.5 Note on Kovacic’s Algorithm
By FELIX ULMER and JACQUES-ARTHUR WEIL
1.6 Necessary Conditions for Liouvillian Solutions of (Third Order) Linear Differential
Equations
By FELIX ULMER and Michael F. Singer.
1.7 How to Solve Linear Differential Equations: An Outline
By FELIX ULMER
1.8 Solving Second Order Linear Differential Equations with Klein’s Theorem
By Mark van Hoeij, Jacques-Arthur Weil and Thomas Cluzeau.
1.9 Liouvillian solutions for second order linear differential equations with polynomial
coefficients
By Primitivo B. Acosta‑Humánez, David Blázquez‑Sanz, Henock Venegas‑Gómez
1.10 A rationality result for Kovacic’s algorithm
By Marius van der Put, Peter A. Hendriks
1.11 NonLiouvillian Solutions for Second Order Linear ODEs
By L. Chan, E.S. Cheb-Terrab