UMC UBC Systematic Methods for Solving Ordinary Differential Equations (ODEs)

advertisement
undergraduate
UBC
UMC
mathematics
colloquium
clay ▪ bluman ▪ anstee ▪ martin ▪ kohler ▪ cytrynbaum
George Bluman: Systematic Methods for Solving
Ordinary Differential Equations (ODEs)
th
the latter
part of the
century,
Sophus Lie
initiated
hisgroups)
studies in
onorder
continuous
Lie initiated
his19
studies
on continuous
groups
(“Lie”
to put
In the latter part of the 19th century,InSophus
groups (“Lie”
groups) inoforder
to put
order to,for
and
thereby
extend
order to, and thereby extend systematically,
the hodgepodge
heuristic
techniques
solving
ODEs
(thatsystematically,
are taught in
undergrad courses). Another systematic
the hodgepodge
method for ofsolving
heuristic
ODEs
techniques
is based on
for finding
solvingand
ODEs
using(that
integrating
are taught
factors
in
undergrad
courses). Another systematic method for solving ODEs is based on finding
(seeking “first integrals” or “conservation
laws”).
and using integrating factors (seeking “first integrals” or “conservation laws”).
This talk will give an elementary presentation of symmetry and integration factor methods for solving ODEs (which
This talk package
will give DSOLVE
an elementary
presentation
of symmetry
and integration
factor
today are the basis for the MAPLE software
as well
as other software
packages
for solving ODEs).
methods for solving ODEs (which today are the basis for the MAPLE software
package DSOLVE as well as other software packages for solving ODEs).
UBC/UMC is on wednesday, october 7
3:00 to 4:00 in GEOG 214 (GEOG is located just west of MATH)
drinks and snacks will be provided
for more information check out www.math.ubc.ca/~fsl, and follow the link at the bottom
Download