Riemann-Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions

Riemann-Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions

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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: 1. An introduction to computational complex analysis. 2. An introduction to the applied theory of Riemann–Hilbert problems from an analytical and numerical perspective. 3. A discussion of application...