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A CONVERGENT FINITE DIFFERENCE SCHEME FOR THE CAMASSA-HOLM EQUATION WITH GENERAL H¹ INITIAL DATA 
Coclite, Giuseppe M.; Karlsen, Kenneth H.; Risebro, Nils Henrik (Research report / Forskningsrapport, 2006)
We suggest a finite dfference scheme for the Camassa-Holm equation that can handle general H1 initial data. The form of the difference scheme is judiciously chosen to ensure that it satisfies a total energy inequality. We ...
NUMERICAL SCHEMES FOR COMPUTING DISCONTINUOUS SOLUTIONS OF THE DEGASPERIS-PROCESI EQUATION 
Coclite, Giuseppe M.; Karlsen, Kenneth H.; Risebro, Nils Henrik (Research report / Forskningsrapport, 2006)
Recent work [4] has shown that the Degasperis-Procesi equation is well-posed in the class of (discontinuous) entropy solutions. In the present paper we construct numerical schemes and prove that they converge to entropy ...
 
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Date Issued2006 (2)Document TypeForskningsrapport (2)Author
Coclite, Giuseppe M. (2)
Karlsen, Kenneth H. (2)
Risebro, Nils Henrik (2)
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