Applied partial differential equations

Author(s)

• Ockendon, J. R
• Howison, Sam
• Lacey, Andrew
• Movchan, A. B. (Alexander B.)

Bibliographic Information

Applied partial differential equations

John Ockendon ... [et al.]

Oxford University Press, c2003

Rev. ed

• : hbk
• : pbk

Note

Previous ed.: 1999

Bibliography: p. 436-438

Includes index

Description and Table of Contents

Volume

: hbk ISBN 9780198527701

Description

This new edition, interspersed with numerous footnotes and topical exercises, is aimed at students of mathematics, engineering and physics seeking a comprehensive text in the applications of PDEs.

Table of Contents

• Introduction
• First-order scalar quasilinear equations
• First-order quasilinear systems
• Introduction to second-order scalar equations
• Hyperbolic equations
• Elliptic equations
• Parabolic equations
• Free boundary problems
• Non-quasilinear equations
• Miscellaneous topics
• Conclusion
• References
• Index

Volume

: pbk ISBN 9780198527718

Description

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

Table of Contents

• Introduction
• First-order scalar quasilinear equations
• First-order quasilinear systems
• Introduction to second-order scalar equations
• Hyperbolic equations
• Elliptic equations
• Parabolic equations
• Free boundary problems
• Non-quasilinear equations
• Miscellaneous topics
• Conclusion
• References
• Index

by "Nielsen BookData"

Details

• NCID: BA62560584
• ISBN:
  • 0198527705
  • 9780198527718
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Oxford
• Pages/Volumes: xi, 449 p.
• Size: 24 cm
• Classification:
  • DC21 : 515.353
• Subject Headings:
  • LCSH : Differential equations, Partial