RIEMANN-HILBERT PROBLEMS, THEIR NUMERICAL SOLUTION, AND THE COMP torrent

Author: Thomas Trogdon, Sheehan Olver
Publication Date: December 22, 2015
Publisher: SIAM-Society for Industrial and Applied Mathematics
ISBN-10: 1611974194
ISBN-13: 978-1611974195
Pages: 391 pages
Format: pdf
Size: 13M

---

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, and a discussion of applications to integrable systems, differential equations, and special function theory. It also includes six fundamental examples and five more sophisticated examples of the analytical and numerical Riemann-Hilbert method, each of mathematical or physical significance or both.

---

http://dlfeb.com/book/riemann-hilbert-problems-their-numerical-solution-and-computation-of-nonlinear-special-functions/