Jacques-Arthur Weil

发表

Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields pdf

Alin Bostan, Thomas Cluzeau, Guillaume Chèze, 2013, Math. Comput..

First Integrals and Darboux Polynomials of Homogeneous Linear Differential Systems

Jacques-Arthur Weil, Jacques-Arthur Weil, 1995, AAECC.

Computing the Lie Algebra of the Differential Galois Group of a Linear Differential System

Moulay A. Barkatou, Thomas Cluzeau, Jacques-Arthur Weil, 2016, ISSAC.

The use of the special semi-groups for solving differential equations

Jacques-Arthur Weil, Jacques-Arthur Weil, 1994, ISSAC '94.

Méthodes effectives en théorie de Galois différentielle et applications à l'intégrabilité de systèmes dynamiques. (Effective methods in differential Galois theory and applications to integrability of dynamical systems)

Jacques-Arthur Weil, 2013 .

Liouville integrability: An effective Morales-Ramis-Simó theorem

Jacques-Arthur Weil, Ainhoa Aparicio-Monforte, T. Dreyfus, 2016, J. Symb. Comput..

Computing closed form solutions of integrable connections

Moulay A. Barkatou, Thomas Cluzeau, Jacques-Arthur Weil, 2012, ISSAC.

A reduced form for linear differential systems and its application to integrability of Hamiltonian systems

Jacques-Arthur Weil, Ainhoa Aparicio-Monforte, Jacques-Arthur Weil, 2009, J. Symb. Comput..

Note on Kovacic's Algorithm

Felix Ulmer, Jacques-Arthur Weil, 1996, J. Symb. Comput..

SwingingAtwoodMachine:Experimentalandnumericalresults, andatheoreticalstudy

Olivier Pujol, Jacques-Arthur Weil, C. SimÛ, 2010 .

Note on Kovacic's algorithm

Felix Ulmer, Jacques-Arthur Weil, Jacques-Arthur Weil, 1995, SIGS.

A New Approach for Formal Reduction of Singular Linear Differential Systems Using Eigenrings

Moulay A. Barkatou, Jacques-Arthur Weil, Joelle Saadé, 2018, ISSAC.

Liouvillian Solutions of Linear Differential Equations of Order Three and Higher

Mark van Hoeij, Felix Ulmer, Jacques-Arthur Weil, 1999, J. Symb. Comput..

Formal reduction of singular linear differential systems using eigenrings: A refined approach

Moulay A. Barkatou, Jacques-Arthur Weil, Joelle Saade, 2021, J. Symb. Comput..

A Reduction Method for Higher Order Variational Equations of Hamiltonian Systems pdf

Jacques-Arthur Weil, Ainhoa Aparicio-Monforte, Jacques-Arthur Weil, 2012, ArXiv.

On symmetric powers of differential operators

Manuel Bronstein, Thom Mulders, Jacques-Arthur Weil, 1997, ISSAC.

A Characterization of Reduced Forms of Linear Differential Systems pdf

Jacques-Arthur Weil, Ainhoa Aparicio-Monforte, Elie Compoint, 2012, ArXiv.

Formal first integrals along solutions of differential systems I

Moulay A. Barkatou, Jacques-Arthur Weil, Ainhoa Aparicio-Monforte, 2011, ISSAC '11.

Solving second order linear differential equations with Klein's theorem

Mark van Hoeij, Jacques-Arthur Weil, Jacques-Arthur Weil, 2005, ISSAC.

Darboux Transformations for orthogonal differential systems and differential Galois Theory

Jacques-Arthur Weil, Moulay Barkatou, Primitivo Acosta-Humanez, 2021 .

Differential Galois Theory and Integration

Jacques-Arthur Weil, Thomas Dreyfus, Jacques-Arthur Weil, 2021, Texts & Monographs in Symbolic Computation.

An algorithm for computing invariants of differential Galois groups

Mark van Hoeij, Jacques-Arthur Weil, Jacques-Arthur Weil, 1997 .

Swinging Atwood Machine: Experimental and numerical results, and a theoretical study

Jacques-Arthur Weil, Carles Simó, Olivier Pujol, 2010 .

Non-integrability of the generalized spring-pendulum problem

Jacques-Arthur Weil, Andrzej J. Maciejewski, Maria Przybylska, 2004 .