84
Views
28
CrossRef citations to date
0
Altmetric
Original Articles

Generalized trapezoidal formulas for parabolic equations

, &
Pages 429-443 | Received 11 Apr 1998, Published online: 19 Mar 2007

References

  • Berzins , M. , Capon , P.J. and Jimack , P.K. 1998 . On spatial adaptivity and interpolation when using the method of lines . Appl. Numer, Math , 26 : 117 – 133 .
  • Chawla , M.M. , Zanaidi , M.A. and Evans , D.J. 1996 . A class of generalized trapezoidal formulas for the numerical integration of y t -f(x,y) . Intern. J. Computer Math , 62 : 131 – 142 .
  • Crank , J. and Nicolson , P. 1947 . A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type . Proc. Camb. Phil. Soc , 43 : 50 – 67 .
  • Lawson , J.D. and Morris , J. 1978 . The extrapolation of first order methods for parabolic partial differential equations I . SIAM J. Numer. Anal , 15 : 1212 – 1224 .
  • Richtmyer , R.D. and Morton , K.W. 1967 . Difference Methods for Initial-value Problems , New York : Interscience Publishers .
  • Smith , G.D. 1978 . Numerical Solution of Partial Differential Equations: Finite Difference Methods , Oxford : Oxford Univ. Press .
  • Thomas , J.W. 1995 . Numerical Partial Differential Equations: Finite Difference Methods , New York : Springer-Verlag .

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.