Published January 2001 | Version v1
Journal article Metadata-only

The Potential Theory of Several Intervals and Its Applications

Creators

  • 1. University of Minnesota, School of Mathematics (United States)
  • 2. Department of Mathematics, MIT (United States)
  • 3. Oxford University Computing Laboratory (United Kingdom)

Description

Motivated both by digital filter design and polynomial-based matrix iteration methods, we study Green's function for the complement of a union of disjoint closed intervals. The key tool is the Schwarz-Christoffel map. Asymptotic analysis produces simple and useful leading terms for Green's function and the associated equilibrium distribution. Our results are applied to optimal lowpass filters and matrix iterations.

Additional details

Identifiers

DOI
10.1007/s00245-001-0011-0;

Publishing Information

Journal Title
Applied Mathematics and Optimization
Journal Volume
44
Journal Issue
1
Journal Page Range
p. 67-85
ISSN
0095-4616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42072385
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ASYMPTOTIC SOLUTIONS; DIGITAL FILTERS; DISTRIBUTION; GREEN FUNCTION; ITERATIVE METHODS; MAPS; MATRICES; POLYNOMIALS; POTENTIALS
Descriptors DEC
CALCULATION METHODS; FUNCTIONS; MATHEMATICAL SOLUTIONS

Optional Information

Copyright
Copyright (c) 2001 Springer-Verlag New York Inc.