From: utzoo!watmath!mwang Newsgroups: ont.events Title: UW Numer. Analy. Seminar, Dr. Duncan on "A Petrov-Galerkin Method for the ..." Article-I.D.: watmath.4354 Posted: Tue Jan 18 10:25:08 1983 Received: Tue Jan 18 23:43:44 1983 Expires: Sat Jan 29 00:00:00 1983 DEPARTMENT OF COMPUTER SCIENCE UNIVERSITY OF WATERLOO SEMINAR ACTIVITIES NUMERICAL ANALYSIS SEMINAR - Friday, January 28, 1983. Dr. D.B. Duncan of Atomic Energy of Canada Ltd., will speak on "A Petrov-Galerkin Method for the Approxi- mate Solution of a Class of Hyperbolic Conservation Laws". TIME: 3:30 PM ROOM: M&C 5158 ABSTRACT The Petrov-Galerkin method using linear basis func- tions and more general test functions is derived for a class of Hyperbolic conservation laws with the gen- eral form (pd = partial derivative) pd u/pd t = (pd/pd x)f(u) Following the usual approach to the solution of non- linear equations of this type, the linear model prob- lem given by f(u) = u is examined first and the results obtained are used as a guide to the construc- tion of a method for the general non-linear problem. The flexibility of the Petrov-Galerkin method for this problem is discussed and comparisons made with other related approaches. The limitations of using a linear problem as a model for this general class of equations are also highlighted. January 18, 1983