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Approximating solutions to the Dirichlet problem in R ^ n ^ using one analytic function by R.J. Whitley; T.V. Hromadka II; S.B. Horton is a Engineering article available to read on EtoBox.

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## Abstract A simpler proof is given of the result of (Whitley and Hromadka II, Numer Methods Partial Differential Eq 21 (2005) 905–917) that, under very mild conditions, any solution to a Dirichlet problem with given continuous boundary data can be approximated by a sum involving a single function of one complex variable; any analytic function not a polynomial can be used. This can be applied to give a method for the numerical solution of potential problems in dimension three or higher. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010

Who reads Approximating solutions to the Dirichlet problem in R ^ n ^ using one analytic function?

Author

R.J. Whitley; T.V. Hromadka II; S.B. Horton

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 0749-159X)

Published

2009

Language

EN

Field

Engineering (Physical Sciences)