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Applied Partial Differential Equations

Author

Listed:
  • Ockendon, John

    (OCIAM, University of Oxford)

  • Howison, Sam

    (OCIAM, University of Oxford)

  • Lacey, Andrew

    (Department of Mathematics, Heriot-Watt University)

  • Movchan, Alexander

    (Department of Mathematics, University of Liverpool)

Abstract

Partial differential equations are a central concept in mathematics. They are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of the well-known text by Ockendon et al., providing an enthusiastic and clear guide to the theory and applications of PDEs, provides timely updates on: transform methods (especially multidimensional Fourier transforms and the Radon transform); explicit representations of general solutions of the wave equation; bifurcations; the Wiener-Hopf method; free surface flows; American options; the Monge-Ampere equation; linear elasticity and complex characteristics; as well as numerous topical exercises. This book is ideal for students of mathematics, engineering and physics seeking a comprehensive text in the modern applications of PDEs

Suggested Citation

  • Ockendon, John & Howison, Sam & Lacey, Andrew & Movchan, Alexander, 2003. "Applied Partial Differential Equations," OUP Catalogue, Oxford University Press, number 9780198527718.
  • Handle: RePEc:oxp:obooks:9780198527718
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    Cited by:

    1. Yao, Haixiang & Yang, Zhou & Chen, Ping, 2013. "Markowitz’s mean–variance defined contribution pension fund management under inflation: A continuous-time model," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 851-863.
    2. Zafar Ahmad & Reilly Browne & Rezaul Chowdhury & Rathish Das & Yushen Huang & Yimin Zhu, 2023. "Fast American Option Pricing using Nonlinear Stencils," Papers 2303.02317, arXiv.org, revised Oct 2023.
    3. Ruslan Voropai & Abebe Geletu & Pu Li, 2023. "Model Predictive Control of Parabolic PDE Systems under Chance Constraints," Mathematics, MDPI, vol. 11(6), pages 1-23, March.

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