Publication Cover
Applicable Analysis
An International Journal
Volume 66, 1997 - Issue 3-4
18
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Removing small divisors in the method of characteristic

&
Pages 333-356 | Received 01 Mar 1997, Published online: 02 May 2007

References

  • Brio , M. and Wu , C.C. 1987 . Characteristics fields for the equations of Magneto-hydrodynamics . Contemporary Mathematics , 60 : 19 – 23 .
  • Gelfond , A.O. 1971 . “ Calculus of Finite Differences ” . Hindustan Publishing Corp . Nauka, Moscow 1967(Rus) English transl
  • Gingold , H. and Hsieh , P.F. 1992 . Globally analytic triangularization of a matrix function . Lin. Alg. Appl , 169 : 75 – 101 .
  • Gingold , H. 1978 . A method of global block diagonalization for matrix-valued functions . SIAM J. Math. Anal , 9 : 1076 – 1082 .
  • Gingold , H. 1979 . On continuous triangularization of matrix functions . SIAM J. Math. Anal , 10 : 709 – 720 .
  • Gingold , H. and Trutzer , V. 1990 . On resonance in linear conservation laws without source terms . Utilitas Mathematica , 37 : 65 – 78 .
  • Holt , M. 1984 . Numerical Methods in Fluid Dynamics . 37
  • Hsieh , P.F. and Sibuya , Y. 1966 . A global analysis of matrices of functions of several variable . J. Math. Anal , 14 : 332 – 340 .
  • John , F. 1982 . Partial Differential Equations . 14
  • Kato , T. 1966 . Perturbation Theory for Linear Operators . 14
  • Lyczkowski , R.W. , Gasparov , D. , Solbrig , C. and Hughes , E.D. 1978 . Characteristics and Stability Analyses of Transient One-Dimensional Two-Phase Flow Equations and Their Finite Difference Approximations . Nuclear Science and Engineering , 66 : 378 – 396 .
  • Sibuya , Y. 1965 . Some global properties of matrices of functions of one variable . Math. Ann , 161 : 67 – 77 .
  • Strang , G. 1986 . “ Introduction to Applied Mathematics ” . Wellesley, Massachusetts : Wellesley-Cambridge Press .
  • Whitham , G.B. 1976 . “ Linear and Nonlinear Waves ” . John Wiley and Sons .
  • Zachmanoglou , E.C. and Thoe , D.W. “ Introduction to Partial Differential Equations ” . Baltimore : Wavery Press, Inc .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.