Single Step Methods and Rational Approximations of Semigroups

  • Vidar Thomée
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 25)


In this chapter we shall again study single step time stepping methods for a homogeneous parabolic equation in an abstract setting. This time we will use the semigroup approach and represent the time stepping operator as a Dunford-Taylor integral in the complex plane, which will allow us to treat more general elliptic operators than in the last chapter. For the purpose of including also application to maximum-norm estimates with respect to a spatial variable, which will be given at the end of the chapter, the analysis will take place in a Banach space framework.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Vidar Thomée
    • 1
  1. 1.Department of MathematicsChalmers University of TechnologyGöteborgSweden

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