35
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

A Priori Estimation of a Time Step for Numerically Solving Parabolic Problems

Pages 94-111 | Received 07 May 2014, Published online: 03 Feb 2015

References

  • L. Angermann and P. Knabner. Numerical Methods for Elliptic and Parabolic Partial Differential Equations. Springer-Verlag, New York, 2003.
  • U.M. Ascher. Numerical Methods for Evolutionary Differential Equations. Society for Industrial and Applied Mathematics, Philadelphia, 2008.
  • U.M. Ascher and L.R. Petzold. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. Society for Industrial and Applied Mathematics, Philadelphia, 1998.
  • W. Bangerth and R. Rannacher. Adaptive Finite Element Methods for Differential Equations. Springer, Basel, 2003.
  • C.W. Gear. Numerical Initial Value Problems in Ordinary Differential Equations. Prentice Hall, NJ, 1971.
  • E. Hairer, S.P. Norsett and G. Wanner. Solving Ordinary Differential Equations. I. Nonstiff Problems. Springer-Verlag, Berlin, 1987.
  • R.J. LeVeque. Finite Difference Methods for Ordinary and Partial Differential Equations. Steady-State and Time-Dependent Problems. Society for Industrial and Applied Mathematics, Philadelphia, 2007.
  • C.A. Möller. Adaptive Finite Elements in the Discretization of Parabolic Problems. Logos-Verlag, Berlin, 2011.
  • A.A. Samarskii. The Theory of Difference Schemes. Marcel Dekker, New York, 2001.
  • A.A. Samarskii and A.V. Gulin. Stability of Difference Schemes. Nauka, Moscow, 1973. in Russian
  • A.A. Samarskii, P.P. Matus and P.N. Vabishchevich. Difference Schemes with Operator Factors. Kluwer Academic Publ., Dordrecht, 2002.
  • V. Thomée. Galerkin Finite Element Methods for Parabolic Problems. Springer-Verlag, Berlin, 2010.
  • R. Verfürth. A Posteriori Error Estimation Techniques for Finite Element Methods. Oxford University Press, Oxford, 2013.

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.