Riemann-Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions(English, Paperback, Trogdon Thomas)

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Riemann-Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions(English, Paperback, Trogdon Thomas) is written by Trogdon Thomas and published by Society for Industrial & Applied Mathematics,U.S.. It's available with International Standard Book Number or ISBN identification 1611974194 (ISBN 10) and 9781611974195 (ISBN 13).

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. Six fundamental examples and five more sophisticated examples of the analytical and numerical Riemann-Hilbert method, each of mathematical or physical significance or both.