We study the one-dimensional conservation law. We use a characteristic surface to define a class of functions, within which the integral version of the conservation law is solved in a simple and direct way. A simple algorithm for computing the unique solution is developed. The method uses the equal-area principle and yields the solution for any given time directly. doi:10.1017/S1446181112000065
@article{4881, title = {An equal-area method for scalar conservation laws}, journal = {ANZIAM Journal}, volume = {52}, year = {2012}, doi = {10.21914/anziamj.v53i0.4881}, language = {EN}, url = {http://dml.mathdoc.fr/item/4881} }
Kramar Fijavz, Marjeta; Lakner, Mitja; Skapin Rugelj, Marjeta. An equal-area method for scalar conservation laws. ANZIAM Journal, Tome 52 (2012) . doi : 10.21914/anziamj.v53i0.4881. http://gdmltest.u-ga.fr/item/4881/