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Automatic Differentiation

  • Ulrich Kulisch
  • Rolf Hammer
  • Matthias Hocks
  • Dietmar Ratz

Abstract

In many applications of numerical and scientific computing, it is necessary to compute derivatives of functions. Simple examples are methods for finding the zeros, maxima, or minima of nonlinear functions. There are three different methods to get the values of the derivatives: numerical differentiation, symbolic differentiation, and automatic differentiation.

Keywords

Elementary Function Arithmetic Operation Truncation Error Interval Arithmetic Numerical Differentiation 
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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Ulrich Kulisch
    • 1
  • Rolf Hammer
    • 1
  • Matthias Hocks
    • 1
  • Dietmar Ratz
    • 1
  1. 1.Institut für Angewandte MathematikUniversität KarlsruheKarlsruheGermany

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