Riemannhilbert Problems Their Numerical Solution And The Computation Of Nonlinear Special Functions Thomas Trogdon by Thomas Trogdon, Sheehan Olver 9781611974195, 1611974194 instant download after payment.

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.