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Author |
Gielis, J.; Natalini, P.; Ricci, P.E. |
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Title |
A note about generalized forms of the Gielis formula |
Type |
H1 Book chapter |
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Year |
2017 |
Publication  |
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Abbreviated Journal |
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Volume |
2 |
Issue |
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Pages |
107-116
T2 - Modeling in mathematics : proceedings |
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Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
We generalize the Gielis Superformula by extending the R. Chacon approach, but avoiding the use of Jacobi elliptic functions. The obtained results are extended to the three-dimensional case. Several new shapes are derived by using the computer algebra system Mathematica(C). |
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Wos |
000442076400008 |
Publication Date |
2017-04-20 |
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Edition |
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ISBN |
978-94-6239-260-1; 978-94-6239-261-8; 2543-0300; 978-94-6239-260-1 |
Additional Links |
UA library record; WoS full record; WoS citing articles |
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Open Access |
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Notes |
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no |
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Call Number |
UA @ admin @ c:irua:144550 |
Serial |
8318 |
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Author |
Caratelli, D.; Gielis, J.; Natalini, P.; Ricci, P.E.; Tavkhelidze, I. |
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Title |
The Robin problem for the Helmholtz equation in a starlike planar domain |
Type |
A1 Journal article |
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Year |
2011 |
Publication |
Georgian mathematical journal |
Abbreviated Journal |
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Volume |
18 |
Issue |
3 |
Pages |
465-479 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The interior and exterior Robin problems for the Helmholtz equation in starlike planar domains are addressed by using a suitable Fourier-like technique. Attention is in particular focused on normal-polar domains whose boundaries are defined by the so-called superformula introduced by J. Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica© is developed in order to validate the proposed approach. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. The computed results are found to be in good agreement with the theoretical findings on Fourier series expansion presented by L. Carleson. |
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Wos |
000296166100004 |
Publication Date |
2021-02-28 |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1072-947x |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Times cited |
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Open Access |
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Notes |
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no |
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Call Number |
UA @ admin @ c:irua:91086 |
Serial |
8658 |
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