TY - GEN A1 - Wolf, Thomas T1 - A comparison of four approaches to the calculation of conservation laws N2 - The paper compares computational aspects of four approaches to compute conservation laws of single differential equations or systems of them, ODEs and PDEs. The only restriction, required by two of the four corresponding computer algebra programs, is that each DE has to be solvable for a leading derivative. Extra constraints may be given. Examples of new conservation laws include non-polynomial expressions, an explicit variable dependence and conservation laws involving arbitrary functions. Examples involve the following equations: Ito, Liouville, Burgers, Kadomtsev-Petviashvili, Karney-Sen-Chu-Verheest, Boussinesq, Tzetzeica, Benney. T3 - ZIB-Report - SC-99-01 Y1 - 1999 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/389 UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-3896 ER -