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8126 results in Fluid dynamics and solid mechanics

Page 153 of 407

Turbulence in Rotating, Stratified and Electrically Conducting Fluids
  • P. A. Davidson
  • Published online:
    05 September 2013
    Print publication:
    12 September 2013
  • There are two recurring themes in astrophysical and geophysical fluid mechanics: waves and turbulence. This book investigates how turbulence responds to rotation, stratification or magnetic fields, identifying common themes, where they exist, as well as the essential differences which inevitably arise between different classes of flow. The discussion is developed from first principles, making the book suitable for graduate students as well as professional researchers. The author focuses first on the fundamentals and then progresses to such topics as the atmospheric boundary layer, turbulence in the upper atmosphere, turbulence in the core of the earth, zonal winds in the giant planets, turbulence within the interior of the sun, the solar wind, and turbulent flows in accretion discs. The book will appeal to engineers, geophysicists, astrophysicists and applied mathematicians who are interested in naturally occurring turbulent flows.

  • A EUROPEAN OPTION GENERAL FIRST-ORDER ERROR FORMULA

  • Part of
  • GUILLAUME LEDUC
  • Journal:
    The ANZIAM Journal / Volume 54 / Issue 4 / April 2013
    Published online by Cambridge University Press:
    04 September 2013, pp. 248-272
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  • We study the value of European security derivatives in the Black–Scholes model when the underlying asset $\xi $ is approximated by random walks ${\xi }^{(n)} $. We obtain an explicit error formula, up to a term of order $ \mathcal{O} ({n}^{- 3/ 2} )$, which is valid for general approximating schemes and general payoff functions. We show how this error formula can be used to find random walks ${\xi }^{(n)} $ for which option values converge at a speed of $ \mathcal{O} ({n}^{- 3/ 2} )$.

  • ANZ VOLUME 54 ISSUE 4 COVER AND BACK MATTER

  • Journal:
    The ANZIAM Journal / Volume 54 / Issue 4 / April 2013
    Published online by Cambridge University Press:
    04 September 2013, pp. b1-b7
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Page 153 of 407