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Applied Partial Differential Equations By J.R. Ockendon

Applied Partial Differential Equations

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This is a guide to the theory and applications of PDEs. Its central aim is to set out a mathematical framework within which to assess any given PDE. Space is devoted as much to explicit methods of solution as to more general qualitative ideas, the most important is the concept of well-posedness.
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Applied Partial Differential Equations Summary


Applied Partial Differential Equations by J.R. Ockendon

Partial differential equations (PDEs) are a central concept in mathematics. Their power lies in their universality: there is a huge and ever-growing range of real-world phenomena to which they can be applied, from fluid mechanics and electromagnetism to probability and finance. This is an enthusiastically and clearly written guide to the theory and applications of PDEs. Its central aim is to set out, in an informal yet rigorous manner, a mathematical framework within which to assess any given PDE. Space is devoted as much to explicit methods of solution as to more general qualitative ideas, the most important of which is the concept of well-posedness. This attribute is vital in deciding the accuracy to which the problem can be solved numerically, and it becomes increasingly important as the power of computer software grows. Prerequisites here have been kept to a minimum: some familiarity with ordinary differential equations, functions of a single complex variable, and the calculus of functions of several real variables are all that is needed. This book is intended for final year undergraduates and graduate students in applied mathematics and engineering.

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Table of Contents


1. First-order scalar quasilinear equations; 2. First-order quasilinear systems; 3. Introduction to second-order scalar equations; 4. Hyperbolic equations; 5. Elliptic equations; 6. Parabolic equations; 7. Free boundary problems; 8. Non-quasilinear eqeuations; 9. Miscellaneous

Additional information

GOR010083400
Applied Partial Differential Equations by J.R. Ockendon
J.R. Ockendon
Oxford Applied & Engineering Mathematics S.
Used - Very Good
Paperback
Oxford University Press
1999-07-15
440
0198532431
9780198532439
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us.