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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.

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Math. Comput. Appl., Volume 3, Issue 1 (April 1998) , Pages 1-65

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Open AccessArticle Peiffer Commutators by Using GAP Package
Math. Comput. Appl. 1998, 3(1), 59-65; https://doi.org/10.3390/mca3010059
Published: 1 April 1998
Viewed by 334 | PDF Full-text (2528 KB)
Abstract
We describe Peiffer commutators within the Moore complex NG of a simplicial group G. The calculation of the Peiffer commutators is made by using GAP program. Full article
Open AccessArticle The Tangent Conoids Family Which Depends on the Ruled Surface
Math. Comput. Appl. 1998, 3(1), 49-57; https://doi.org/10.3390/mca3010049
Published: 1 April 1998
Viewed by 361 | PDF Full-text (2377 KB)
Abstract
In this study, a new congruence[A••] has been definedby putting a tangent right conoid on each line of a ruled surface (A1(s)) of a line congruence [A]. Then, by considering special case of the congruence [A••] which [...] Read more.
In this study, a new congruence[A••] has been definedby putting a tangent right conoid on each line of a ruled surface (A1(s)) of a line congruence [A]. Then, by considering special case of the congruence [A••] which has been defined in the previous part, the concepts of tangent congruence, drall and the relation among Blaschke vectors of Blaschke trihedrons, having common line Ao has been examined for this special case. At the end of this study, the concept of tangent congruence for some special congruences has been examined. Full article
Open AccessArticle Neural Computing of the Bandwith of Resonant Rectangular Microstrip Antennas
Math. Comput. Appl. 1998, 3(1), 37-47; https://doi.org/10.3390/mca3010037
Published: 1 April 1998
Viewed by 421 | PDF Full-text (5387 KB)
Abstract
A new method based on the backpropagation multilayered perceptron network for calculating the bandwidth of resonant rectangular microstrip patch antennas is presented The method can be used for a wide range of substrate thicknesses and permittivities, and is useful for the computer-aided design [...] Read more.
A new method based on the backpropagation multilayered perceptron network for calculating the bandwidth of resonant rectangular microstrip patch antennas is presented The method can be used for a wide range of substrate thicknesses and permittivities, and is useful for the computer-aided design (CAD) of microstrip antennas. The results obtained by using this new method are in conformity with those reported elsewhere. This method may find wide applications in high-frequency printed antennas, especially at the millimeter-wave frequency range. Full article
Open AccessArticle Analysis of Unsteady Flow in Complex Pipe System by the Method of Characteristics
Math. Comput. Appl. 1998, 3(1), 27-36; https://doi.org/10.3390/mca3010027
Published: 1 April 1998
Viewed by 494 | PDF Full-text (2834 KB)
Abstract
This study aims at the uusteady now analysis of complex pipe system by lIsing the method of characteristics. Excess demand and sudden closure and opening of devices such as valves and pumps causes the occurrence of uusteady now. Hydraulic analysis of pipe system [...] Read more.
This study aims at the uusteady now analysis of complex pipe system by lIsing the method of characteristics. Excess demand and sudden closure and opening of devices such as valves and pumps causes the occurrence of uusteady now. Hydraulic analysis of pipe system is still performed only by steady-state now. The unsteady now analysis can be done by using the results of this analysis. Full article
Open AccessArticle Refractive Index Change Produced by the Electro-Optical Effect in LiTaO3
Math. Comput. Appl. 1998, 3(1), 17-26; https://doi.org/10.3390/mca3010017
Published: 1 April 1998
Viewed by 412 | PDF Full-text (3458 KB)
Abstract
Electro-optically induced refractive-index change in regular and reverse-poled LiTaO3 has been calculated. Specifically we determine how index change depends on electric field magnitude and direction for y-propagating extra-ordinary modes. To accomplish this, changes in index-ellipsoid shape and orientation are found by the use [...] Read more.
Electro-optically induced refractive-index change in regular and reverse-poled LiTaO3 has been calculated. Specifically we determine how index change depends on electric field magnitude and direction for y-propagating extra-ordinary modes. To accomplish this, changes in index-ellipsoid shape and orientation are found by the use of a numerical eigenvalue procedure to diagonalize the impermeability tensor; then the refractive index is calculated by the use of a vector reference-frame transformation and a small perturbation approximation. A general formula is inferred from calculations for specific field directions. Electro-optic coefficienls for reserve-poled LiTaO3 are obtained by application of a tensor reference-frame transloilnation to those of LiTaO3. Full article
Open AccessArticle Some Fixed Point Theorems in Hilbert Spaces
Math. Comput. Appl. 1998, 3(1), 11-16; https://doi.org/10.3390/mca3010011
Published: 1 April 1998
Viewed by 484 | PDF Full-text (2161 KB)
Abstract
Some general fixed points theorems in Hilbert spaces are proved which generalize the results from [1]. Full article
Open AccessArticle An Object Oriented Approach to Semidefinite Programming
Math. Comput. Appl. 1998, 3(1), 1-10; https://doi.org/10.3390/mca3010001
Published: 1 April 1998
Viewed by 395 | PDF Full-text (4777 KB)
Abstract
An object-oriented design and implementation of a primal-dual algorithm for solving the semidefinite programming problem is pn~sented. The advantages of applying the object-oriented methodology to numerical computations, in particular to an interior point algorithm for semidefinite programming, or for solving other types of [...] Read more.
An object-oriented design and implementation of a primal-dual algorithm for solving the semidefinite programming problem is pn~sented. The advantages of applying the object-oriented methodology to numerical computations, in particular to an interior point algorithm for semidefinite programming, or for solving other types of linear matrix inequalities are discussed. One object-oriented design of the primal-dual algorithm and its implementation using C++ is presented. The performance of the C++ implementation is compared with that of a procedural C implementation, and while the performance of the C++ implementation is comparable to that of the C implementation, the resulting code is easier to read, modify, and maintain. Full article
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