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Sensitivity methods for mathematical modelling

Part of the Lecture Notes in Mathematics book series (LNM,volume 1086)

Abstract

This paper has attempted to present an overview of certain aspects of functional sensitivity analysis with particular applications towards kinetics and quantum scattering theory. There is an important need at this point to perform practical numerical calculations in order to gain further insight in how to interpret and utilize the sensitivity densities. The generality of these sensitivity concepts and especially their ability to handle non-linear differential equations, implies that they should be a potentially valuable tool for treating a wide variety of problems besides those directly discussed in this paper.

Keywords

  • Functional Derivative
  • Derive Sensitivity
  • Quantum Scattering Theory
  • Total Wavefunction
  • Orbital Angular Momentum Quantum Number

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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References

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© 1984 Springer-Verlag

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Rabitz, H. (1984). Sensitivity methods for mathematical modelling. In: Komkov, V. (eds) Sensitivity of Functionals with Applications to Engineering Sciences. Lecture Notes in Mathematics, vol 1086. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073070

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  • DOI: https://doi.org/10.1007/BFb0073070

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13871-6

  • Online ISBN: 978-3-540-39061-9

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