Numerical conformal mapping: Domain decomposition and the mapping of quadrilaterals

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It contains a detailed study of the theory and application of a domain decomposition method for computing the modules and associated conformal mappings of elongated quadrilaterals, of the type that occur in engineering applications. The reader will find a highly useful and up-to-date survey of available numerical methods and associated computer software for conformal mapping.

References in zbMATH (referenced in 19 articles )

The book also highlights the crucial role that function theory plays in the development of numerical conformal mapping methods, and illustrates the theoretical insight that can be gained from the results of numerical experiments. This is a valuable resource for mathematicians, who are interested in numerical conformal mapping and wish to study some of the recent developments in the subject, and for engineers and scientists who use, or would like to use, conformal transformations and wish to find out more about the capabilities of modern numerical conformal mapping.

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Domain Decomposition Methods for Conformal Mapping and Eigenvalue Problems

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A domain decomposition method for conformal mapping onto a rectangle

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Complex Analysis 02: Mappings

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Share This Paper. Citations Publications citing this paper. Fluid sloshing in rectangular vessels with side-wall baffles using conformal mappings of multiply-connected domains Matthew R. Representation of conformal maps by rational functions Abinand Gopal , Lloyd N. Time-dependent conformal mapping of doubly-connected regions Matthew R.