Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Computing one of Victor Moll's irresistible integrals with computer algebra
Authors: Christoph Koutschan, Viktor Levandovskyy
– 0.21 Mb
Abstract
We investigate a certain quartic integral from V. Moll's book “Irresistible Integrals” and demonstrate how it can be solved by computer algebra methods, namely by using non-commutative Gröbner bases. We present recent implementations in the computer algebra systems SINGULAR and MATHEMATICA.Christoph Koutschan, Viktor Levandovskyy
Christoph Koutschan
RISC
Altenberger Str. 69
A-4040 Linz, AUSTRIA
E-mail:
Viktor Levandovskyy
RWTH Aachen
Templergraben 64
D-52062 Aachen, GERMANY
E-mail:
Christoph Koutschan
RISC
Altenberger Str. 69
A-4040 Linz, AUSTRIA
E-mail:
Viktor Levandovskyy
RWTH Aachen
Templergraben 64
D-52062 Aachen, GERMANY
E-mail:
Fulltext
– 0.21 Mb
Contents
- Introduction
- A New Attempt On The F5 Criterion
- Some Remarks on Blowing-Ups in a Computer Algebra System
- Computing one of Victor Moll's irresistible integrals with computer algebra
- An algebraic approach to a study of two-dimensional affine differential system
- A zero-dimensional approach to compute real radicals
- Grobner Bases for Nonlinear DAE Systems of Analog Circuits
- Private Key Extension of Polly Cracker Cryptosystems
- On the Cancellation Rule in the Homogenization
- Approaches to automated construction of graphical shells for computer algebra systems
- Congratulations
