Representation of conformal maps by rational functions

Representation of conformal maps by rational functions

The traditional view in numerical conformal mapping is that once the boundary correspondence function has been found, the map and its inverse can be evaluated by contour integrals. We propose that it is much simpler, and 10–1000 times faster, to represent the maps by rational functions computed by t...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Gopal, A, Trefethen, L
Fformat:	Journal article
Iaith:	English
Cyhoeddwyd:	Springer 2019

Eitemau Tebyg

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Green's functions for multiply connected domains via conformal mapping
gan: Embree, M, et al.
Cyhoeddwyd: (1998)

Numerical conformal mapping /
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Cyhoeddwyd: (1986)

New Quadrature Formulas from Conformal Maps.
gan: Hale, N, et al.
Cyhoeddwyd: (2008)

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gan: Trefethen, L, et al.
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gan: Kirsh, D, et al.
Cyhoeddwyd: (1983)

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Cyhoeddwyd: (2018)

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Cyhoeddwyd: (1970)

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gan: Tee, T, et al.
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An algorithm for real and complex rational minimax approximation
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Dictionary of conformal representations /
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Cyhoeddwyd: (1957)

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Hecke relations in rational conformal field theory
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Rationality without representation
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gan: Van Deun, J, et al.
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Rationality properties of unipotent representations
gan: Lusztig, G.
Cyhoeddwyd: (2022)

On fields of rationality for automorphic representations
gan: Shin, Sug Woo, et al.
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gan: Shelley-Abrahamson, Seth
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Representations of rational Cherednik algebras
gan: Rouquier, R
Cyhoeddwyd: (2005)

The determination of the poles of the mapping function and their use in numerical conformal mapping/
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Conformal mapping/
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Cyhoeddwyd: (1953)

Conformal mapping/
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Cyhoeddwyd: (1975)

Exponential node clustering at singularities for rational approximation, quadrature, and PDEs
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Representation of target-bound drugs by computed conformers: implications for conformational libraries
gan: Goede Andrean, et al.
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