Nonstationary Problems

  • G. I. Marchuk
  • V. V. Shaidurov
Part of the Applications of Mathematics book series (SMAP, volume 19)


Nonstationary equations tend to be more complicated than stationary ones. They have many applications in various fields of science and technology. When constructing numerical algorithms one must deal with spatial variables as well as with the time variable. The question of finding a corrector for an approximate solution on a sequence of nets is considerably more complicated. Nevertheless in a great number of cases such correctors can be found. These questions will now occupy us. In this book we will not treat high order schemes which use another method, nor will we discuss other algorithms even though they also give successful results. The reader is referred to [4, 131, 51, 87, 112, 114, 42, 146], for further discussion.


Parabolic Equation Time Slice High Order Scheme Nonstationary Problem Coherence Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York Inc. 1983

Authors and Affiliations

  • G. I. Marchuk
    • 1
  • V. V. Shaidurov
    • 2
  1. 1.Department of Numerical Mathematics of the USSR Academy of SciencesMoscowU.S.S.R.
  2. 2.Computing Center of the Siberian Branch of the USSR Academy of SciencesKrasnoyarskU.S.S.R.

Personalised recommendations