Convergence of nonlinear algorithms

  • Lee, Young-S. (Center for Applied Mathematical Sciences Department of Mathematics University of Southern California) ;
  • Simeon Reich (Department of Mathematics The Technion-Israel Institute of Technology )
  • Published : 1995.02.01

Abstract

Our purpose in this paper is to prove a new version of the nonlinear Chernoff theorem and to discuss the equivalence between resolvent consistency and converge nce for nonlinear algorithms acting on different Banach spaces. Such results are useful in the numerical treatment of partial differential equations via difference schemes.

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