| Records |
| Author |
Gielis, J.; Tavkhelidze, I. |
| Title |
A note on Generalized Möbius-Listing Bodies |
Type |
P1 Proceeding |
Year  |
2023 |
Publication |
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Abbreviated Journal |
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| Volume |
|
Issue |
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Pages |
31-39
T2 - Proceedings of the 1st International Sy |
| Keywords |
P1 Proceeding; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
Generalized Möbius-Listing surfaces and bodies generalize Möbius bands, and this research was motivated originally by solutions of boundary value problems. Analogous to cutting of the original Möbius band, for this class of surfaces and bodies, results have been obtained when cutting such bodies or surfaces. In general, cutting leads to interlinked and intertwined different surfaces or bodies, resulting in very complex systems. However, under certain conditions, the result of cutting can be a single surface or body, which reduces complexity considerably. These conditions are based on congruence and rotational symmetry of the resulting cross sections after cutting, and on the knife cutting the origin |
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Thesis |
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Place of Publication |
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Editor |
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Wos |
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Publication Date |
2023-11-29 |
| Series Editor |
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Series Title |
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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 |
978-90-833839-0-3 |
ISBN |
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Additional Links |
UA library record |
| Impact Factor |
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Times cited |
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Open Access |
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| Notes |
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Approved |
no |
| Call Number |
UA @ admin @ c:irua:201047 |
Serial |
9063 |
| Permanent link to this record |
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| |
| Author |
Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
| Title |
Generalized Möbius-Listing bodies and the heart |
Type |
A3 Journal article |
| Year |
2023 |
Publication |
Sn – 2247-689x |
Abbreviated Journal |
|
| Volume |
13 |
Issue |
2 |
Pages |
58-70 |
| Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
Generalized Möbius-Listing surfaces and bodies generalize Möbius bands, and this research was motivated originally by solutions of boundary value problems. Analogous to cutting of the original Möbius band, for this class of surfaces and bodies, results have been obtained when cutting such bodies or surfaces. The results can be applied in a wide range of fields in the natural science, and here we propose how they can serve as a model for the heart and the circulatory system. |
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Wos |
http://rjm-cs.ro/2023v13i2_7.pdf#page=1 |
Publication Date |
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| Series Editor |
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Series Title |
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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 |
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ISBN |
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Additional Links |
UA library record; http://rjm-cs.ro/2023v13i2_7.pdf#page=1 |
| Impact Factor |
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Times cited |
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Open Access |
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| Notes |
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Approved |
no |
| Call Number |
UA @ admin @ c:irua:200773 |
Serial |
9043 |
| Permanent link to this record |
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| |
| Author |
Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
| Title |
The Möbius phenomenon in Generalized Möbius-Listing surfaces and bodies, and Arnold's Cat phenomenon |
Type |
A1 Journal article |
| Year |
2021 |
Publication |
Advanced Studies : Euro-Tbilisi Mathematical Journal |
Abbreviated Journal |
|
| Volume |
14 |
Issue |
4 |
Pages |
17-35 |
| Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
Möbius bands have been studied extensively, mainly in topology. Generalized Möbius-Listing surfaces and bodies providing a full geometrical generalization, is a quite new field, motivated originally by solutions of boundary value problems. Analogous to cutting of the original Möbius band, for this class of surfaces and bodies, results have been obtained when cutting such bodies or surfaces. In general, cutting leads to interlinked and intertwined different surfaces or bodies, resulting in very complex systems. However, under certain conditions, the result of cutting can be a single surface or body, which reduces complexity considerably. Our research is motivated by this reduction of complexity. In the study of cutting Generalized Möbius-Listing bodies with polygons as cross section, the conditions under which a single body results, displaying the Möbius phenomenon of a one-sided body, have been determined for even and odd polygons. These conditions are based on congruence and rotational symmetry of the resulting cross sections after cutting, and on the knife cutting the origin. The Möbius phenomenon is important, since the process of cutting (or separation of zones in a GML body in general) then results in a single body, not in different, intertwined domains. In all previous works it was assumed that the cross section of the GML bodies is constant, but the main result of this paper is that it is sufficient that only one cross section on the whole GML structure meets the conditions for the Möbius phenomenon to occur. Several examples are given to illustrate this. |
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Wos |
000774655100002 |
Publication Date |
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| Series Editor |
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Series Title |
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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 |
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ISBN |
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Additional Links |
UA library record; WoS full record |
| Impact Factor |
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Times cited |
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Open Access |
OpenAccess |
| Notes |
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Approved |
Most recent IF: NA |
| Call Number |
UA @ admin @ c:irua:183081 |
Serial |
8258 |
| Permanent link to this record |
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| |
| Author |
Tavkhelidze, I.; Gielis, J.; Pinelas, S. |
| Title |
About some methods of analytic representation and classification of a wide set of geometric figures with “complex” configuration |
Type |
H1 Book chapter |
| Year |
2020 |
Publication |
|
Abbreviated Journal |
|
| Volume |
|
Issue |
|
Pages |
347-359
T2 - Differential and difference equations |
| Keywords |
H1 Book chapter; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
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| Address |
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| Corporate Author |
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Thesis |
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| Publisher |
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Place of Publication |
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Editor |
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| Language |
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Wos |
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Publication Date |
2020-10-21 |
| Series Editor |
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Series Title |
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Abbreviated Series Title |
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| Series Volume |
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Series Issue |
|
Edition |
|
| ISSN |
|
ISBN |
978-3-030-56322-6 |
Additional Links |
UA library record |
| Impact Factor |
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Times cited |
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Open Access |
|
| Notes |
|
Approved |
Most recent IF: NA |
| Call Number |
UA @ admin @ c:irua:174479 |
Serial |
7407 |
| Permanent link to this record |
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| |
| Author |
Gielis, J.; Caratelli, D.; Tavkhelidze, I. |
| Title |
The general case of cutting GML bodies : the geometrical solution |
Type |
H1 Book chapter |
| Year |
2020 |
Publication |
|
Abbreviated Journal |
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| Volume |
|
Issue |
|
Pages |
397-411
T2 - Differential and difference equations |
| Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
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| Address |
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| Corporate Author |
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Thesis |
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| Publisher |
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Place of Publication |
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Editor |
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| Language |
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Wos |
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Publication Date |
2020-10-21 |
| Series Editor |
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Series Title |
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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 |
|
ISBN |
978-3-030-56322-6 |
Additional Links |
UA library record |
| Impact Factor |
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Times cited |
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Open Access |
|
| Notes |
|
Approved |
Most recent IF: NA |
| Call Number |
UA @ admin @ c:irua:174477 |
Serial |
7991 |
| Permanent link to this record |
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| |
| Author |
Gielis, J.; Tavkhelidze, I. |
| Title |
The general case of cutting of Generalized Möbius-Listing surfaces and bodies |
Type |
A1 Journal article |
| Year |
2020 |
Publication |
4Open |
Abbreviated Journal |
|
| Volume |
3 |
Issue |
|
Pages |
7-48 |
| Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
The original motivation to study Generalized Möbius-Listing GML surfaces and bodies was the observation that the solution of boundary value problems greatly depends on the domains. Since around 2010 GML’s were merged with (continuous) Gielis Transformations, which provide a unifying description of geometrical shapes, as a generalization of the Pythagorean Theorem. The resulting geometrical objects can be used for modeling a wide range of natural shapes and phenomena. The cutting of GML bodies and surfaces, with the Möbius strip as one special case, is related to the field of knots and links, and classifications were obtained for GML with cross sectional symmetry of 2, 3, 4, 5 and 6. The general case of cutting GML bodies and surfaces, in particular the number of ways of cutting, could be solved by reducing the 3D problem to planar geometry. This also unveiled a range of connections with topology, combinatorics, elasticity theory and theoretical physics. |
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Thesis |
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Place of Publication |
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Editor |
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| Language |
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Wos |
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Publication Date |
2020-08-31 |
| Series Editor |
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Series Title |
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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 |
2557-0250 |
ISBN |
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Additional Links |
UA library record |
| Impact Factor |
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Times cited |
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Open Access |
|
| Notes |
|
Approved |
Most recent IF: NA |
| Call Number |
UA @ admin @ c:irua:174471 |
Serial |
7992 |
| Permanent link to this record |
| |
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| |
| Author |
Tavkhelidze, I.; Gielis, J.; Pinelas, S. |
| Title |
About some methods of analytic representation and classification of a wide set of geometric figures with “complex” configuration |
Type |
A3 Journal article |
| Year |
2020 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
|
| Volume |
34 |
Issue |
|
Pages |
81-84 |
| Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
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| Address |
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Thesis |
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Place of Publication |
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Editor |
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Wos |
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Publication Date |
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| Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Issue |
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Edition |
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| ISSN |
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ISBN |
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Additional Links |
UA library record |
| Impact Factor |
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Times cited |
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Open Access |
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| Notes |
|
Approved |
Most recent IF: NA |
| Call Number |
UA @ admin @ c:irua:174475 |
Serial |
7406 |
| Permanent link to this record |
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| |
| Author |
Gielis, J.; Tavkhelidze, I. |
| Title |
The Mӧbius phenomenon in Generalized Mӧbius-Listing bodies with cross sections of odd and even polygons |
Type |
A3 Journal article |
| Year |
2020 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
|
| Volume |
34 |
Issue |
|
Pages |
23-26 |
| Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
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Place of Publication |
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Editor |
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Wos |
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Publication Date |
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Series Title |
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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 |
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ISBN |
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Additional Links |
UA library record |
| Impact Factor |
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Times cited |
|
Open Access |
|
| Notes |
|
Approved |
Most recent IF: NA |
| Call Number |
UA @ admin @ c:irua:174474 |
Serial |
8257 |
| Permanent link to this record |
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| |
| Author |
Tavkhelidze, I.; Gielis, J. |
| Title |
Structure of the dm knives and process of cutting of GML(man) or GRT(man) bodies |
Type |
A3 Journal article |
| Year |
2019 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
|
| Volume |
33 |
Issue |
|
Pages |
|
| Keywords |
A3 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
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| Address |
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Thesis |
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Place of Publication |
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Editor |
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Wos |
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Publication Date |
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Series Title |
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Abbreviated Series Title |
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Series Issue |
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Edition |
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ISBN |
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Additional Links |
UA library record |
| Impact Factor |
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Times cited |
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Open Access |
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| Notes |
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Approved |
no |
| Call Number |
UA @ admin @ c:irua:164897 |
Serial |
8588 |
| Permanent link to this record |
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| |
| Author |
Tavkhelidze, I.; Gielis, J. |
| Title |
The process of cutting GMLmn bodies with dm-knives |
Type |
A3 Journal article |
| Year |
2018 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
|
| Volume |
32 |
Issue |
|
Pages |
67-70 |
| Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
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| Address |
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Thesis |
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Place of Publication |
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Editor |
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Wos |
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Publication Date |
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Series Title |
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Abbreviated Series Title |
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Series Issue |
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Edition |
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| ISSN |
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ISBN |
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Additional Links |
UA library record |
| Impact Factor |
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Times cited |
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Open Access |
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| Notes |
|
Approved |
no |
| Call Number |
UA @ admin @ c:irua:159971 |
Serial |
8417 |
| Permanent link to this record |
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| |
| Author |
Tavkhelidze, I.; Caratelli, D.; Gielis, J.; Ricci, P.E.; Rogava, M.; Transirico, M. |
| Title |
On a geometric model of bodies with “complex” configuration and some movements |
Type |
H1 Book chapter |
| Year |
2017 |
Publication |
|
Abbreviated Journal |
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| Volume |
2 |
Issue |
|
Pages |
129-158
T2 - Modeling in mathematics : proceedings |
| Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
Aim of this chapter is analytical representation of one wide class of geometric figures (lines, surfaces and bodies) and their complicated displacements. The accurate estimation of physical characteristics (such as volume, surface area, length, or other specific parameters) relevant to human organs is of fundamental importance in medicine. One central idea of this article is, in this respect, to provide a general methodology for the evaluation, as a function of time, of the volume and center of gravity featured by moving of one class of bodies used of describe different human organs. |
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Wos |
000442076400010 |
Publication Date |
2017-04-20 |
| Series Editor |
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Series Title |
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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 |
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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 |
| Impact Factor |
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Times cited |
|
Open Access |
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| Notes |
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Approved |
no |
| Call Number |
UA @ admin @ c:irua:144552 |
Serial |
8326 |
| Permanent link to this record |
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| Author |
Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
| Title |
Modeling in mathematics : proceedings of the second Tbilisi-Salerno workshop on modeling in mathematics |
Type |
ME3 Book as editor |
| Year |
2017 |
Publication |
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Abbreviated Journal |
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| Volume |
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Issue |
|
Pages |
185 p. |
| Keywords |
ME3 Book as editor; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
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Thesis |
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| Publisher |
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Place of Publication |
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Editor |
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| Language |
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Wos |
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Publication Date |
2017-04-20 |
| Series Editor |
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Series Title |
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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 |
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ISBN |
978-94-6239-260-1; 978-94-6239-261-8 |
Additional Links |
UA library record |
| Impact Factor |
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Times cited |
|
Open Access |
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| Notes |
|
Approved |
no |
| Call Number |
UA @ admin @ c:irua:144553 |
Serial |
8263 |
| Permanent link to this record |
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| Author |
Caratelli, D.; Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
| Title |
Some properties of “bulky” links, generated by Generalized Möbius Listing's bodies GML4n |
Type |
A2 Journal article |
| Year |
2016 |
Publication |
Journal of mathematical sciences |
Abbreviated Journal |
|
| Volume |
216 |
Issue |
4 |
Pages |
509-518 |
| Keywords |
A2 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
In the present paper, we consider the bulky knots and bulky links that appear after cutting of generalized MöbiusListing GML 4 n bodies (with corresponding radial cross sections square) along different generalized MöbiusListing surfaces GML 2 n situated in it. The aim of this article is to examine the number and geometric structure of independent objects that appear after such a cutting process of GML 4 n bodies. In most cases, we are able to count the indices of the resulting mathematical objects according to the known tabulation for knots and links of small complexity. |
| Address |
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| Corporate Author |
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Thesis |
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| Publisher |
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Place of Publication |
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Editor |
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| Language |
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Wos |
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Publication Date |
2016-06-10 |
| Series Editor |
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Series Title |
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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 |
1072-3374; 1573-8795 |
ISBN |
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Additional Links |
UA library record |
| Impact Factor |
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Times cited |
|
Open Access |
|
| Notes |
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Approved |
no |
| Call Number |
UA @ admin @ c:irua:133948 |
Serial |
8554 |
| Permanent link to this record |
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| Author |
Gielis, J.; Verhulst, R.; Caratelli, D.; Ricci, P.E.; Tavkhelidze, I. |
| Title |
On means, polynomials and special functions |
Type |
A1 Journal article |
| Year |
2014 |
Publication |
The teaching of mathematics |
Abbreviated Journal |
|
| Volume |
17 |
Issue |
1 |
Pages |
1-20 |
| Keywords |
A1 Journal article; Educational sciences; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
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| Address |
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| Corporate Author |
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Thesis |
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| Publisher |
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Place of Publication |
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Editor |
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Wos |
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Publication Date |
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| Series Editor |
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Series Title |
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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 |
1451-4966; 2406-1077 |
ISBN |
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Additional Links |
UA library record |
| Impact Factor |
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Times cited |
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Open Access |
|
| Notes |
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Approved |
no |
| Call Number |
UA @ admin @ c:irua:128660 |
Serial |
8327 |
| Permanent link to this record |
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| Author |
Caratelli, D.; Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
| Title |
Fourier-Hankel solution of the Robin problem for the Helmholtz equation in supershaped annular domains |
Type |
A1 Journal article |
| Year |
2013 |
Publication |
Boundary value problems |
Abbreviated Journal |
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| Volume |
|
Issue |
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Pages |
253 |
| Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
The Robin problem for the Helmholtz equation in normal-polar annuli is addressed by using a suitable Fourier-Hankel series technique. Attention is in particular focused on the wide class of domains whose boundaries are defined by the so-called superformula introduced by Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica© is developed in order to validate the proposed methodology. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. |
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Place of Publication |
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Wos |
000340237600004 |
Publication Date |
2013-11-22 |
| Series Editor |
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Series Title |
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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 |
1687-2762; 1687-2770 |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
| Impact Factor |
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Times cited |
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Open Access |
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| Notes |
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Approved |
no |
| Call Number |
UA @ admin @ c:irua:111558 |
Serial |
7981 |
| Permanent link to this record |
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| Author |
Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
| Title |
About “bulky” links generated by generalized Möbius-Listing bodies GML2n |
Type |
A2 Journal article |
| Year |
2013 |
Publication |
Journal of mathematical sciences |
Abbreviated Journal |
|
| Volume |
193 |
Issue |
3 |
Pages |
449-460 |
| Keywords |
A2 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
In this paper, we consider the bulky knots and bulky links, which appear after cutting of a Generalized MöbiusListing GMLn2 body (with the radial cross section a convex plane 2-symmetric figure with two vertices) along a different Generalized MöbiusListing surfaces GMLn2 situated in it. The aim of this report is to investigate the number and geometric structure of the independent objects that appear after such a cutting process of GMLn2 bodies. In most cases we are able to count the indices of the resulting mathematical objects according to the known classification for the standard knots and links. |
| Address |
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| Corporate Author |
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Thesis |
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| Publisher |
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Place of Publication |
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Editor |
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| Language |
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Wos |
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Publication Date |
2013-08-03 |
| Series Editor |
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Series Title |
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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 |
1072-3374; 1573-8795 |
ISBN |
|
Additional Links |
UA library record |
| Impact Factor |
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Times cited |
|
Open Access |
|
| Notes |
|
Approved |
no |
| Call Number |
UA @ admin @ c:irua:110953 |
Serial |
7404 |
| Permanent link to this record |
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| Author |
Caratelli, D.; Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
| Title |
The Dirichlet problem for the Laplace equation in supershaped annuli |
Type |
A1 Journal article |
| Year |
2013 |
Publication |
Boundary value problems |
Abbreviated Journal |
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| Volume |
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Issue |
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Pages |
113-10 |
| Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
The Dirichlet problem for the Laplace equation in normal-polar annuli is addressed by using a suitable Fourier-like technique. Attention is in particular focused on the wide class of domains whose boundaries are defined by the so-called superformula introduced by Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica© is developed in order to validate the proposed methodology. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. |
| Address |
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| Corporate Author |
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Thesis |
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| Publisher |
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Place of Publication |
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Editor |
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| Language |
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Wos |
000325760900002&DestLinkType=CitingArticles&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7 |
Publication Date |
2013-05-03 |
| Series Editor |
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Series Title |
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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 |
1687-2762; 1687-2770 |
ISBN |
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Additional Links |
UA library record; WoS citing articles; WoS full record |
| Impact Factor |
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Times cited |
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Open Access |
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| Notes |
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Approved |
no |
| Call Number |
UA @ admin @ c:irua:108644 |
Serial |
7812 |
| Permanent link to this record |
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| |
| Author |
Tavkhelidze, I.; Cassisa, C.; Gielis, J.; Ricci, P.E. |
| Title |
About “bulky” links, generated by generalized Möbius Listing's bodies GML3n |
Type |
A1 Journal article |
| Year |
2013 |
Publication |
Matematica e applicazioni : atti della Accademia nazionale dei Lincei |
Abbreviated Journal |
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| Volume |
24 |
Issue |
1 |
Pages |
11-38 |
| Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
In the present paper we consider the “bulky knots'' and ”bulky links'', which appear after cutting a Generalized Möbius Listing's GMLn3 body (whose radial cross section is a plane 3-symmetric figure with three vertices) along different Generalized Möbius Listing's surfaces GMLn2 situated in it. This article is aimed to investigate the number and geometric structure of the independent objects appearing after such a cutting process of GMLn3 bodies. In most cases we are able to count the indices of the resulting mathematical objects according to the known tabulation for Knots and Links of small complexity. |
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Wos |
000316567700002 |
Publication Date |
2013-03-13 |
| Series Editor |
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Series Title |
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Abbreviated Series Title |
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| Series Volume |
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Series Issue |
|
Edition |
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| ISSN |
1120-6357 |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
| Impact Factor |
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Times cited |
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Open Access |
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| Notes |
|
Approved |
no |
| Call Number |
UA @ admin @ c:irua:107174 |
Serial |
7405 |
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| Author |
Caratelli, D.; Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
| Title |
Spherical harmonic solution of the Robin problem for the Helmholtz equation in a supershaped shell |
Type |
A1 Journal article |
| Year |
2013 |
Publication |
Applied mathematics |
Abbreviated Journal |
|
| Volume |
4 |
Issue |
1a |
Pages |
263-270 |
| Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
The Robin problem for the Helmholtz equation in normal-polar shells is addressed by using a suitable spherical harmonic expansion technique. Attention is in particular focused on the wide class of domains whose boundaries are defined by a generalized version of the so-called superformula introduced by Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica? is developed in order to validate the proposed methodology. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. |
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Thesis |
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Place of Publication |
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Editor |
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Wos |
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Publication Date |
2013-01-30 |
| Series Editor |
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Series Title |
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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 |
2152-7385 |
ISBN |
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Additional Links |
UA library record |
| Impact Factor |
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Times cited |
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Open Access |
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| Notes |
|
Approved |
no |
| Call Number |
UA @ admin @ c:irua:107177 |
Serial |
8576 |
| Permanent link to this record |
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| |
| Author |
Caratelli, D.; Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
| Title |
Some properties of “bulky” links, generated by Generalized Möbius Listing's bodies GML4n |
Type |
P3 Proceeding |
| Year |
2013 |
Publication |
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Abbreviated Journal |
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| Volume |
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Issue |
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Pages |
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| Keywords |
P3 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
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| Address |
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Thesis |
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Place of Publication |
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Editor |
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Wos |
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Publication Date |
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| Series Editor |
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Series Title |
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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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|
ISBN |
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Additional Links |
UA library record |
| Impact Factor |
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Times cited |
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Open Access |
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| Notes |
|
Approved |
no |
| Call Number |
UA @ admin @ c:irua:108672 |
Serial |
8555 |
| Permanent link to this record |
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| |
| Author |
Caratelli, D.; Gielis, J.; Natalini, P.; Ricci, P.E.; Tavkhelidze, I. |
| Title |
The Robin problem for the Helmholtz equation in a starlike planar domain |
Type |
A1 Journal article |
| Year |
2011 |
Publication |
Georgian mathematical journal |
Abbreviated Journal |
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| Volume |
18 |
Issue |
3 |
Pages |
465-479 |
| Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
| 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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Thesis |
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Place of Publication |
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Editor |
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Wos |
000296166100004 |
Publication Date |
2021-02-28 |
| Series Editor |
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Series Title |
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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 |
| Impact Factor |
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Times cited |
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Open Access |
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| Notes |
|
Approved |
no |
| Call Number |
UA @ admin @ c:irua:91086 |
Serial |
8658 |
| Permanent link to this record |
