Journal of applied mathematics & informatics

  • 제5권1호
  • /
  • Pages.171-180
  • /
  • 1998
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

THE CONVERGENCE OF FINITE ELEMENT GALERKIN SOLUTION FOR THE ROSENEAU EQUATION

  • Lee, H. Y. (Department of Mathematics Kyungsung University)
  • 발행 : 1998.03.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we analyze the convergence of the semidis-crete solution of the Roseneau equation. We introduce the auxiliary projection of the solution and derive the optimal convergence of the semidiscrete solution as well as the auxiliary projection in L2 normed space.

키워드

참고문헌

  1. Math. of Comp. v.40 Convergence of Galerkin approximations for the Korteweg-de Vries equation G.Baker;V.Dougalis;O.Karakashian
  2. Comp & Maths. with Appls. v.12A Fully discrete Galerkin methods for the Korteweg-de Vries equation J.Bona;V.Dougalis;O.Karakashian
  3. Duke Math. Jour. v.43 Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces J.Bona;R.Scott
  4. Applicable Analysis v.54 Finite element Galerkin solutions for the Roseneau equation S.K.Chung;S.N.Ha
  5. Finite Element Method for Elliptic Problem P.Ciarlet
  6. Math. of Comp. v.45 On some high-order accurate fully discrete Galerkin methods for the Korteweg-de Vries equation V.Dougakis;O.Karakashian
  7. Math. Comp. v.55 no.192 On optimal high order in time approximations for the Korteweg-de Vries equation O.Karakashian;W.McKinney
  8. Comp. & Maths. with Appls. v.32 no.3 The convergence of the fully discrete solution for the Roseneau equation H.Y.Lee;M.J.Ahn
  9. Ph. D. Dissertation, Tulane University Model equations in fluid dynamics M.A.Park
  10. Prog. Theoretical Phvs. v.79 Dynamics of dense discrete systems P.Roseneau