Riemann-Hilbert problems, their numerical solution, and the computation of nonlinear special functions / Thomas Trogdon, New York University, New York, New York, Sheehan Olver, The University of Sydney, New South Wales, Australia.
Saved in:
| Online Access: |
Full Text (via SIAM) |
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| Main Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Philadelphia, Pennsylvania :
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),
[2015]
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| Series: | Other titles in applied mathematics.
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| Subjects: |
| Abstract: | Riemann-Hilbert problems are fundamental objects of study within complex analysis. Many problems in differential equations and integrable systems, probability and random matrix theory, and asymptotic analysis can be solved by reformulation as a Riemann-Hilbert problem. This book, the most comprehensive one to date on the applied and computational theory of Riemann-Hilbert problems, includes an introduction to computational complex analysis, an introduction to the applied theory of Riemann-Hilbert problems from an analytical and numerical perspective, a discussion of applications to integrable systems, differential equations, and special function theory, and six fundamental examples and five more sophisticated examples of the analytical and numerical Riemann-Hilbert method, each of mathematical or physical significance or both. |
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| Physical Description: | 1 online resource (xviii, 373 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781611974201 1611974208 |
| Source of Description, Etc. Note: | Title from title screen, viewed 11/19/2015. |