Computational Methods and Function Theory
Proceedings of a Conference held in Valparaiso, Chile, March 13-18, 1989
Published on 10. July 1990
Book
Paperback/Softback
VIII, 220 pages
978-3-540-52768-8 (ISBN)
Description
The volume is devoted to the interaction of modern scientific computation and classical function theory. Many problems in pure and more applied function theory can be tackled using modern computing facilities: numerically as well as in the sense of computer algebra. On the other hand, computer algorithms are often based on complex function theory, and dedicated research on their theoretical foundations can lead to great enhancements in performance. The contributions - original research articles, a survey and a collection of problems - cover a broad range of such problems.
More details
Series
Edition
1990 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 220 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 13 mm
Weight
353 gr
ISBN-13
978-3-540-52768-8 (9783540527688)
DOI
10.1007/BFb0087892
Schweitzer Classification
Content
Open problems and conjectures in complex analysis.- A remarkable cubic mean iteration.- On the maximal range problem for slit domains.- On bernstein type inequalities and a weighted chebyshev approximation problem on ellipses.- Conformal mapping and Fourier-Jacobi approximations.- Numerical solutions of the schiffer equation.- Behavior of the lagrange interpolants in the roots of unity.- Orthogonal polynomials, chain sequences, three-term recurrence relations and continued fractions.- On Thurston's formulation and proof of Andreev's theorem.- Hyperbolic geometry in spherically k-convex regions.- The Bloch and Marden constants.- On some analytic and computational aspects of two dimensional vortex sheet evolution.- On the numerical performance of a domain decomposition method for conformal mapping.- Planar harmonic mappings.- Extremal problems for non-vanishing H p functions.- Some results on separate convergence of continued fractions.- Asymptotics for the zeros of the partial sums of ez. II.