An Improved Method for Numerical Conformal Mapping

نویسندگان
چکیده

منابع مشابه

Conjugate function method for numerical conformal mappings

Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Harri Hakula, Tri Quach, Antti Rasila Name of the publication Conjugate function method for numerical conformal mappings Publisher School of Science Unit Department of Mathematics and Systems Analysis Series Aalto University publication series SCIENCE + TECHNOLOGY 21/2011 Field of research Abstract We present a method for nume...

متن کامل

Geometric trajectory filtering via numerical conformal mapping

The paper studies the problem which we refer to as geometric trajectory filtering, where only trajectories that satisfy the local safety constraints are selected from a library of trajectories. The goal is to speed up primitive-based motion planning while still maintaining a relatively a large collection of motion primitives. One way to solve this problem is to obtain a proper (preferably smoot...

متن کامل

Improved Conformal Mapping of the Borel Plane

The conformal mapping of the Borel plane can be utilized for the analytic continuation of the Borel transform to the entire positive real semi-axis and is thus helpful in the resummation of divergent perturbation series in quantum field theory. We observe that the rate of convergence can be improved by the application of Padé approximants to the Borel transform expressed as a function of the co...

متن کامل

A Fornberg-like Method for the Numerical Conformal Mapping of Bounded Multiply Connected Domains

A new Fornberg-like method is presented for computing conformal maps from the interior of the unit disk with m−1 circular holes to the interior of a smooth closed curve with m−1 holes bounded by smooth curves. The method is a Newton-like method for computing the boundary correspondences and the conformal moduli (centers and radii of the circles). The inner linear systems are derived from condit...

متن کامل

History and Recent Developments in Techniques for Numerical Conformal Mapping

A brief outline is given of some of the main historical developments in the theory and practice of conformal mappings. Originating with the science of cartography, conformal mappings has given rise to many highly sophisticated methods. We emphasize the principles of mathematical discovery involved in the development of numerical methods, through several examples.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 1972

ISSN: 0025-5718

DOI: 10.2307/2005161