Comparison of some Lie-symmetry-based integrators
β Scribed by M. Chhay; E. Hoarau; A. Hamdouni; P. Sagaut
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 723 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0021-9991
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π SIMILAR VOLUMES
The concept of the complete symmetry group of a differential equation introduced by J. Krause (1994, J. Math. Phys. 35, 5734-5748) is extended to integrals of such equations. This paper is devoted to some aspects characterising complete symmetry groups. The algebras of the symmetries of both differe
Cauchy principal value integrals are evaluated by the IMT quadrature scheme, which like the TANH quadrature scheme is essentially a trapezoidal scheme, after making a transformation of the variable of integration. Numerical results for some test problems demonstrate that the IMT scheme is superior t