Version francaise ,
Computer algebra system :
Giac/xcas project ,
Xcas on line,
E-prints,
HP Calculators
Documentation,
CAS,
Geometry
Mathematical physics :
Publications ,
Preprint ,
Lecture Notes ,
Links
Computer algebra system
Giac/xcas,
a free computer algebra system
Giac/Xcas is a free computer algebra system for Windows, Mac OS X and
Linux/Unix (license GPL3). It has
a compatibility mode for maple, mupad and the TI89.
It is available as a standalone program (graphic or text interfaces)
or as a C++ library.
It's name is derived from GiNaC
and means Giac Is A Computer algebra system.
A correct proof of the heuristic GCD algorithm :
PDF,
LaTeX.
Jordan Normal and Rational Normal Form Algorithms,
in collaboration with M. Vaughan :
PDF,
LaTeX, source
maple/xcas.
I'm the main author of the CAS of the HP49G, HP40G, HP49G+ and HP48GII
calculators. I have also developped in 2005 an interactive and
analytic geometry module.
HP49G, HP49G+, HP48GII, HP50G documentation
CAS documentation for all ROM versions
PDF or
LaTeX,
by Renée De Graeve , translated by
Ivan Cibrario Bertolotti
HP40G/GS CAS documentation
- HP40GS : CAS in Equationwriter and HOME, including
symbolic matrix instructions not available in HP manual:
PDF,
LaTeX, available under the FDL license.
- HP40G : translation of the original CAS manual
made by Mark Howell for HP: DOC,
Postscript,
The source code of my contribution to the HP49G CAS
is released under the
LGPL
license of the Free Software Foundation. If you want to modify the
CAS on your calculator, please get the file
casrelease.zip, unzip it, and follow the instructions in the file
CASrelease/README. Warning, the file casrelease.zip
is not released under the LGPL license and may not be redistributed as is.
The files subject to the LGPL license are all the files contained in the
CASrelease/ROM/CAS and CASrelease/ROM/CAS2 directories
except files containing ALG48 code, namely
CAS/berle.s*, CAS/binary.s*, CAS/distdiv.s*, CAS/error.s*, CAS/errors.s*,
CAS/grobner.s*, CAS/mkpoly.s*, CAS/pfctr.s*, CAS/prime.s*, CAS/qarth.s*,
CAS/root.s*, CAS/smod.s*, CAS/util.s*, CAS/zckconv.s*, CAS/zcmp.s*, CAS/znext.s*,
CAS/zpush.s*, CAS/zsutil.s*, CAS/ztests.s*, CAS2/asmgamma.s*, CAS2/asmpsi.s*,
CAS2/numgamma.s*, CAS2/numpsi.s*, CAS2/qpi.s*, CAS2/symgamma.s*, CAS2/sympsi.s*,
CAS2/util.s*, CAS2/zfact.s*
To be used in conjunction with the CASrelease above. This application
is released under the GPL license (for
dual-licensing contact the author):
- ROM files for
49G/G+/50G.
These ROMs provide also a small spreadsheet.
- Documentation
in English
- To get it from source, copy the files
geo.s and
cas2user.s in CASrelease/ROM/CAS2/
- In CASrelease/ROM/CAS2/sload.nn add the line
REL geo.o
after the line REL bank64.o
- You can also add ROMPTR xGEO at line 617 in
CAS2/interf.s
- Do a make in the CASrelease/ROM directory
- Reflash your calc. It is a good idea to reflash the
whole system unless you have previously flashed the 49 with casrelease.
Otherwise erasing bank 7 and reflashing it is sufficient.
Mathematical physics
-
Liens entre les résonances pour l'opérateur de Dirac
et de Schrodinger, Equations Dériv. Partielles, St. Jean-De-Monts,
vol 12, 1990.
-
Résonances pour l'opérateur de Dirac,
PhD thèsis, Orsay, 1992
-
Résonances pour l'opérateur de Dirac-II,
Helvetica Physica Acta, vol 65 (1992), pp. 1077-1118
-
Approximation des valeurs propres de certaines perturbations
singulières et application à l'opérateur de Dirac,
in collaboration with A. Mohamed,
Annales de l'Institut Henri Poincaré- Physique Théorique,
vol. 56 (3), pp. 235-277, 1992
-
Asymptotique de la Largeur de la Première Bande de
l'Opérateur de Dirac avec Potentiel Périodique,
in collaboration with A. Mohamed et Outassourt
Helvetica Physica Acta, vol. 66, 1993, pp. 192-215
Erratum vol. 68, 1995, pp. 187-188
-
Comparaison entre la décroissance de fonctions propres de
l'opérateur de Dirac et de Klein-Gordon.
Application à l'étude de l'effet tunnel,
in collaboration with Bernard Helffer,
Annales de l'Institut Henri Poincaré- Physique Théorique,
vol. 60 (2), pp. 147-187, 1994
-
Équilibre instable en régime semi-classique I ,
in collaboration with Yves Colin de Verdière,
Communications in Partial Differential Equations, vol. 19 (9-10),
pp. 1535-1563, 1994,
PDF
-
Équilibre instable en régime semi-classique II ,
in collaboration with Yves Colin de Verdière,
Annales de l'Institut Henri Poincaré- Physique Théorique,
vol 61 (3), pp. 347-367, 1994
PDF
-
Effet d'Aharonov-Bohm sur un état borné de l'opérateur
de Dirac, Asymptotic Analysis, vol. 10, pp. 199-224, 1995.
-
Singular Bohr-Sommerfeld rules (III) ,
in collaboration with Yves Colin de Verdière,
Communication Math. Phys., vol. 205, pp. 459-500, 1999
Postscript
-
Construction BKW pour l'opérateur de Dirac. Cas d'un potentiel
périodique. in collaboration with A. Mohamed,
Annales de l'Institut Henri Poincaré- Physique Théorique,
vol.70 (4), pp. 341-367, 1999,
online HTML ,
postscript ou
HTML archive
-
Semi-classical study of the origin of quantized Hall conductance
in periodic potentials, in collaboration with Frédéric Faure,
Journal of Mathematical Physics, vol. 41 (1), pp. 62-75, 2000
Construction BKW en fonds de puits, cas particuliers (Dirac,
Schrodinger avec champ magnétique) :
PDF format
or
LaTeX source
Cours de gémétrie différentielle et
symplectique , course of the Ecole d'été
sur les D-modules (Institut Fourier, Grenoble, June 1995), available as
on-line HTML,
postscript or
tar-gzipped html
Introduction à l'opérateur de Dirac
lecture given at the Groupe de travail quantique à
(Grenoble, March 1997), available as
on-line HTML
,
postscript or
tar-gzipped html
Note that other documents are available from my
French homepage.
Bernard Parisse, Institut Fourier (CNRS UMR 5582), 100 rue des Maths,
Université de Grenoble I, 38402 Saint Martin d'Hères
Tel: ( 33 ) 4 76 51 43 14.
You can send me a mail to parisse at fourier.ujf-grenoble dot fr