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Stochastic partial differential equations / Pao-Liu Chow.

By: Material type: TextTextSeries: Advances in applied mathematicsPublication details: Boca Raton : CRC Press, c2015.Edition: 2nd edDescription: xv, 317 p. ; 24 cmISBN:
  • 9781466579552 (hardcover : alk. paper)
Subject(s): DDC classification:
  • 519.23 23 C552
Contents:
1. Preliminaries-- 2. Scalar equations of first order-- 3. Stochastic parabolic equations-- 4. Stochastic parabolic equations in the whole space-- 5. Stochastic hyperbolic equations-- 6. Stochastic evolution equations in Hilbert spaces-- 7. Asymptotic behavior of solutions-- 8. Further applications-- 9. Diffusion equations in infinite dimensions-- Bibliography-- Index.
Summary: The book covers basic theory as well as computational and analytical techniques to solve physical, biological, and financial problems. It first presents classical concrete problems before proceeding to a unified theory of stochastic evolution equations and describing applications, such as turbulence in fluid dynamics, a spatial population growth model in a random environment, and a stochastic model in bond market theory.
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Includes bibliographical references and index.

1. Preliminaries--
2. Scalar equations of first order--
3. Stochastic parabolic equations--
4. Stochastic parabolic equations in the whole space--
5. Stochastic hyperbolic equations--
6. Stochastic evolution equations in Hilbert spaces--
7. Asymptotic behavior of solutions--
8. Further applications--
9. Diffusion equations in infinite dimensions--
Bibliography--
Index.

The book covers basic theory as well as computational and analytical techniques to solve physical, biological, and financial problems. It first presents classical concrete problems before proceeding to a unified theory of stochastic evolution equations and describing applications, such as turbulence in fluid dynamics, a spatial population growth model in a random environment, and a stochastic model in bond market theory.

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