About Product Formulas with Variable Step-Size.

Abstract

The goal of this paper is to decide whether the Chernoff formula is valid when the step-size is variable. It turns out that under the usual assumptions instability and lack of convergence can appear as soon as the step size is slightly perturbed. We give here an example in that direction. However, we prove that slightly stronger assumptions can prevent these pathological situations. Keywords include: Product formulas, Nonlinear semigroups, Accretive operators, Approximation scheme, Stability and convergence.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1985
Accession Number
ADA153527

Entities

People

  • M. Pierre
  • M. Rihani

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Banach Space
  • Classification
  • Continents
  • Contracts
  • Convergence
  • Generators
  • Geographic Regions
  • Instability
  • Mathematics
  • Military Research
  • North Carolina
  • Sequences
  • Step Functions
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Statistical inference.