Ukrainian Mathematical Journal

, Volume 38, Issue 5, pp 479–484 | Cite as

Exact and truncated schemes of any order of accuracy for a class of one-dimensional variational inequalities

  • I. P. Gavrilyuk


Variational Inequality 
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Literature cited

  1. 1.
    R. Glovinchki, J.-L. Lions, and R. Tremolyer, The Numerical Study of Variational Inequalities [Russian translation], Mir, Moscow (1979).Google Scholar
  2. 2.
    G. Duveau and J.-L. Lions, Inequalities in Mechanics and Physics [Russian translation], Mir, Moscow (1980).Google Scholar
  3. 3.
    V. Weinelt, “On the use of difference schemes for the solution of boundary value problems for differential inequalities,” Zh. Vychisl. Mat. Mat. Fiz.,18, No. 3, 642–652 (1978).Google Scholar
  4. 4.
    A. N. Tikhonov and A. A. Samarskii, “Homogeneous difference schemes of higher order of accuracy,” Dokl. Akad. Nauk Ukr. SSR,131, No. 3, 514–517 (1960).Google Scholar
  5. 5.
    A. N. Tikhonov and A. A. Samarskii, “Homogeneous difference schemes of higher order of accuracy of nonuniform meshes,” Zh. Vychisl. Mat. Mat. Fiz.,1, No. 3, 425–440 (1961)Google Scholar
  6. 6.
    V. I. Burenkov, “On the additivity of the classes wp(k)(Ω),” Tr. Mat. Inst. Akad. Nauk SSSR,89, 31–55 (1967).Google Scholar
  7. 7.
    J.-L. Lions, Some Methods of Solving Nonlinear Boundary Value Problems [Russian translation], Mir, Moscow (19729.Google Scholar
  8. 8.
    A. A. Samarskii, The Theory of Difference Schemes [in Russian], Nauka, Moscow (1983).Google Scholar
  9. 9.
    E. Kamke, Textbook on Ordinary Differential Equations [in German], Chelsea Publ.Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • I. P. Gavrilyuk
    • 1
  1. 1.Kiev UniversityUSSR

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