Conservative numerical schemes with optimal dispersive wave relations: Part I. Derivation and analysis
Sign Up to like & getrecommendations! Published in 2021 at "Numerische Mathematik"
DOI: 10.1007/s00211-021-01218-3
Abstract: An energy-conserving and an energy-and-enstrophy conserving numerical schemes are derived, by approximating the Hamiltonian formulation, based on the Poisson brackets and the vorticity-divergence variables, of the inviscid shallow water flows. The conservation of the energy… read more here.
Keywords: conservative numerical; numerical schemes; wave relations; optimal dispersive ... See more keywords
Adaptive symplectic conservative numerical methods for the Kepler problem
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DOI: 10.1134/s0012266117070096
Abstract: We suggest and substantiate a unified form of a family of adaptive conservative numerical methods for the Kepler problem. The family contains methods of the second, fourth, and sixth approximation order as well as an… read more here.
Keywords: methods kepler; kepler problem; conservative numerical; numerical methods ... See more keywords
A novel conservative numerical approximation scheme for the Rosenau-Kawahara equation
Sign Up to like & getrecommendations! Published in 2023 at "Demonstratio Mathematica"
DOI: 10.1515/dema-2022-0204
Abstract: Abstract In this article, a numerical solution for the Rosenau-Kawahara equation is considered. A new conservative numerical approximation scheme is presented to solve the initial boundary value problem of the Rosenau-Kawahara equation, which preserves the… read more here.
Keywords: conservative numerical; scheme; rosenau kawahara; kawahara equation ... See more keywords