Technical Report: Computation on the Extended Complex Plane and Conformal Mapping of Multiply-connected Domains

被引：1

作者：

Andreev, Valentin V. ^{[1
]}

Daniel, Dale ^{[1
]}

McNicholl, Timothy H. ^{[1
]}

机构：

[1] Lamar Univ, Dept Math, Beaumont, TX 77710 USA

来源：

ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE | 2008年 / 221卷 / 0C期

关键词：

Computable analysis; conformal mapping; Type-Two Effectivity;

D O I：

10.1016/j.entcs.2008.12.012

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We introduce a system for computation on the extended complex plane based on the Type-Two Effectivity approach to computable analysis. Included are computations on meromorphic functions, open sets, and closed sets. Applications to Mobius transformations, boundaries of multiply connected domains, and conformal mapping of multiply connected domains are considered.

引用

页码：127 / 139

页数：13

共 50 条

[41] A Consistency Condition for the Vector Potential in Multiply-Connected Domains
Epstein, Charles L.
Gimbutas, Zydrunas
Greengard, Leslie
Kloeckner, Andreas
O'Neil, Michael
IEEE TRANSACTIONS ON MAGNETICS, 2013, 49 (03) : 1072 - 1076
[42] SOME NEW CANONICAL MAPPINGS FOR MULTIPLY-CONNECTED DOMAINS
JENKINS, JA
ANNALS OF MATHEMATICS, 1957, 65 (01) : 179 - 196
[43] CLASS OF SUBNORMAL OPERATORS RELATED TO MULTIPLY-CONNECTED DOMAINS
ABRAHAMSE, MB
DOUGLAS, RG
ADVANCES IN MATHEMATICS, 1976, 19 (01) : 106 - 148
[44] CONFORMAL MAPPING OF A MULTIPLY-CONNECTED DOMAIN ONTO A SEMI-INFINITE STRIP WITH SLITS.
Prosnak, Wlodzimierz J.
Pronska, Anna M.
Bulletin de l'Academie Polonaise des Sciences. Serie des Sciences Techniques, 1982, 30 (7-8): : 391 - 401
[45] Multiply-connected complementary Hall plates with extended contacts
Udo Ausserlechner
Zeitschrift für angewandte Mathematik und Physik, 2023, 74
[46] Integrable Structure of the Dirichlet Boundary Problem in Multiply-Connected Domains
I. Krichever
A. Marshakov
A Zabrodin
Communications in Mathematical Physics, 2005, 259 : 1 - 44
[47] Efficient Conformal Parameterization of Multiply-Connected Surfaces Using Quasi-Conformal Theory
Choi, Gary P. T.
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 87 (03)
[48] SOME PROPERTIES OF CONFORMAL MAPPINGS OF MULTIPLY CONNECTED DOMAINS - PRELIMINARY REPORT
GREENSTONE, L
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1945, 51 (11) : 879 - 879
[49] A COMPARISON OF SOME NUMERICAL CONFORMAL MAPPING METHODS FOR SIMPLY AND MULTIPLY CONNECTED DOMAINS
Badreddine, Mohamed
DeLillo, Thomas K.
Sahraei, Saman
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (01): : 55 - 82
[50] PARALLEL SKELETONIZATION FOR INTEGRAL EQUATIONS IN EVOLVING MULTIPLY-CONNECTED DOMAINS
Ryan, John P.
Damle, Anil
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 43 (03): : A2320 - A2351

← 1 2 3 4 5 →