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Ukrainian Mathematical Journal

, Volume 23, Issue 6, pp 695–698 | Cite as

Application of a modification of Newton's method to the solution of a quasilinear equation

  • V. E. Shamanskii
  • G. V. Grin'kova
Brief Communications
  • 17 Downloads

Keywords

Quasilinear Equation 
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Literature cited

  1. 1.
    M. P. Sapagovas, “Finite differences method for solution of quasilinear elliptic equations with discontinuous coefficients,” Zh. Vych. Matem. i Matem. Fiz.,5, No. 4 (1965).Google Scholar
  2. 2.
    A. I. Lagenbakh, “On certain nonlinear operators of elasticity theory in Hilbert space,” Vestn. LGU, Ser. Matem., Mekh. i Astron., No. 1 (1961).Google Scholar
  3. 3.
    S. G. Mikhlin, Numerical Realization of Variational Methods [in Russian], Nauka, Moscow (1966).Google Scholar
  4. 4.
    O. F. Moncino, “Resolution by interation on some nonlinear systems,” J. Assoc. Comp. Mach.,14, No. 2 (1967).Google Scholar
  5. 5.
    V. K. Isaev and V. V. Sonin, “On a modification of Newton's method of numerical solution of boundary value problems,” Zh. Vych. Matem. i Matem. Fiz.,3, No. 6 (1963).Google Scholar
  6. 6.
    V. A. Matveev, “An approximate solution method for systems of nonlinear equations,” Zh. Vych. Matem. i Matem. Fiz.,4, No. 6 (1964).Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • V. E. Shamanskii
    • 1
  • G. V. Grin'kova
    • 1
  1. 1.Mathematics InstituteAcademy of Sciences of the Ukrainian SSRUSSR

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