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Riemann-Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions by Olver, Sheehan; Trogdon, Thomas D is a nonfiction available to read on EtoBox.

What is Riemann-Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions about?

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. Audience: This book is intended for graduate students and researchers interested in a computational or analytical introduction to the Riemann-Hilbert method. Contents: Chapter 1: Classical Applications of Riemann-Hilbert Problems; Chapter 2: Riemann-Hilbert Problems; Chapter 3: Inverse Scattering and Nonlinear Steepest Descent; C

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

Author

Olver, Sheehan; Trogdon, Thomas D

Publisher

SIAM, Society for Industrial and Applied Mathematics

Published

2015

Language

EN

ISBN

9781611974201

Category

nonfiction

Subjects

Mathematics, Stem