A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods

By À. Jorba, Maorong Zou. Experimental Mathematics, 2005

312 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6cae15b9ffbb972fbb6aff529b219500a889f81b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Nedialko S. Nedialkov
2. J. Pryce
3. Jean-Philippe Lessard
4. Daniele Mortari
5. T. E. Simos
6. Marcio Gameiro

In Numerical Analysis

1. Nedialko S. Nedialkov
2. J. Pryce
3. Daniele Mortari
4. T. E. Simos

In Statistical and Nonlinear Physics

1. J. Pryce
2. Nedialko S. Nedialkov
3. Jean-Philippe Lessard
4. Daniele Mortari
5. J. James
6. Maxime Breden

Citations in the corpus

• Solving Differential-Algebraic Equations by Taylor Series (I): Computing Taylor Coefficients (2005, methodology): “Packages such as ADOL-C [13] and TAYLOR [18] do not provide a d/dt.”
• Least-Squares Solution of Linear Differential Equations (2017, methodology): “Higher-order Taylor methods have also been analyzed [7].”
• Computation of maximal local (un)stable manifold patches by the parameterization method (2015, background): “7 of [45], but the interested reader should also refer to the discussion and references in [3, 46].”