Jacobi method on first order partial differential equations - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T05:52:20Z http://mathoverflow.net/feeds/question/109222 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/109222/jacobi-method-on-first-order-partial-differential-equations Jacobi method on first order partial differential equations withoutname 2012-10-09T13:24:40Z 2012-10-10T12:13:46Z <p>Hi,</p> <p>I am interested in the Jacobi method to solve partial differential equation of first order. I would like to have a hint about a good book to study this subject.</p> <p>Thanks in advance</p> http://mathoverflow.net/questions/109222/jacobi-method-on-first-order-partial-differential-equations/109247#109247 Answer by mathphysicist for Jacobi method on first order partial differential equations mathphysicist 2012-10-09T18:24:48Z 2012-10-09T18:24:48Z <p>For starters see e.g. chapter IX of Forsyth's classical <a href="http://books.google.com/books?id=hQgZ94-coocC" rel="nofollow">Treatise on Differential Equations</a>.</p> http://mathoverflow.net/questions/109222/jacobi-method-on-first-order-partial-differential-equations/109268#109268 Answer by Francois Ziegler for Jacobi method on first order partial differential equations Francois Ziegler 2012-10-10T01:52:41Z 2012-10-10T01:52:41Z <p>Chapter VII of É. Goursat's book, <a href="http://name.umdl.umich.edu/ACR1803.0001.001" rel="nofollow">Leçons sur l'intégration des équations aux dérivées partielles du premier ordre</a>, exposes the method and ends with 14 examples of applying it (pp. 168-169). </p> http://mathoverflow.net/questions/109222/jacobi-method-on-first-order-partial-differential-equations/109292#109292 Answer by alvarezpaiva for Jacobi method on first order partial differential equations alvarezpaiva 2012-10-10T12:13:46Z 2012-10-10T12:13:46Z <p>I think that Arnold's explanation in his book "Geometricam methods ..." is really great. Complement it with Courant-Hilbert and you'll understand all the basics.</p>