Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions
Thomas Trogdon, Sheehan Olver
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.
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.
Categorías:
Año:
2015
Editorial:
SIAM
Idioma:
english
Páginas:
371
ISBN 10:
1611974194
ISBN 13:
9781611974195
Serie:
OT146 Other Titles in Applied Mathematics 146
Archivo:
PDF, 12.58 MB
IPFS:
,
english, 2015