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Kamgnia, Emmanuel Ricky 2014-12-15T19:25:22Z 2014-12-15T19:25:22Z 10000-01-01 1984 1984 In this thesis, we propose a numerical conformal mapping procedure for constructing the unique transformation that maps a unit disk onto a simply connected irregular region. All the systems of linear equations that arise in formulating the method, are solved using Rapid Elliptic Solvers. Therefore, this technique may be regarded as a fast mapping technique. Applications of the method include: (i) generation curvilinear coordinate systems, and (ii) solving the Poisson and Laplace equations on two-dimensional simply connected irregular domains. Made available in DSpace on 2014-12-15T19:25:22Z (GMT). No. of bitstreams: 1 8409789.pdf: 5504371 bytes, checksum: 3fdf52badf756ab1f5987165851416d0 (MD5) Previous issue date: 1984 Embargo set by: Seth Robbins for item 69685 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 202 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984. http://hdl.handle.net/2142/69519 (UMI)AAI8409789 Computer Science A Numerical Conformal Mapping Method and the Poisson Equation on Irregular Domains text Computer Science Computer Science University of Illinois at Urbana-Champaign Dissertation Ph.D.