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Adaptive moving knots meshless method for Degasperis-Procesi equation with conservation laws

  • Published:2019-08 Issue: Volume:142 Page:90-101
  • ISSN:0168-9274
  • Container-title:Applied Numerical Mathematics
  • language:en
  • Short-container-title:Applied Numerical Mathematics

Author:

Gao Qinjiao,Zhang Shenggang,Zhang Jihong

Funder

NSFC

National Science Foundation of China and Research Grants Council of Hong Kong

Educational Commission of Liaoning Province

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference30 articles.

1. Univariate multiquadric approximation: quasi-interpolation to scattered data;Beatson;Constr. Approx.,1992

2. Convergence of univariate quasi-interpolation using multiquadrics;Buhmann;IMA J. Numer. Anal.,1988

3. An integrable shallow water equation with peaked solitons;Camassa;Phys. Rev. Lett.,1993

4. Numerical schemes for computing discontinuous solutions of the Degasperis-Procesi equation;Coclite;IMA J. Numer. Anal.,2008

5. The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations;Constantin;Arch. Ration. Mech. Anal.,2009

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