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MCA
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Computing and Green Technology
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Computing and Green Technology

A special issue of Mathematical and Computational Applications (ISSN 2297-8747). This special issue belongs to the section "Engineering".

Deadline for manuscript submissions: closed (30 June 2022) | Viewed by 3809

Special Issue Editors

Dr. Mouhaydine Tlemcani

E-Mail Website
Guest Editor
Department of Mechatronics Engineering, School of Science and Technology, Universidade de Évora, 7000-671 Évora, Portugal
Interests: signal processing; intelligent sensors; photvotaics system; seismic instrumentation and seismic networks
Special Issues, Collections and Topics in MDPI journals
Dr. Maria Amélia Ramos Loja

E-Mail Website
Guest Editor
1. CIMOSM—Centro de Investigação em Modelação e Otimização de Sistemas Multifuncionais, ISEL, IPL—Instituto Politécnico de Lisboa, Av. Conselheiro Emídio Navarro 1, 1959-007 Lisboa, Portugal
2. IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Avenue Rovisco Pais, 1, 1049-001 Lisboa, Portugal
Interests: computational mechanics of solids; composite materials; adaptive structures; optimization; reverse engineering
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue will collect contributions from the First International Conference on Computing and Green Technology (https://iccgt.org/). Papers considered to fit the scope of the journal and to be of exceptional quality, after evaluation by the reviewers, will be published free of charge.

Dr. Mouhaydine Tlemcani
Dr. Maria Amélia Ramos Loja
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematical and Computational Applications is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

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Published Papers (2 papers)

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Research

12 pages, 380 KiB  
Article
On Some Numerical Methods for Solving Large Differential Nonsymmetric Stein Matrix Equations
by Lakhlifa Sadek, El Mostafa Sadek and Hamad Talibi Alaoui
Math. Comput. Appl. 2022, 27(4), 69; https://doi.org/10.3390/mca27040069 - 12 Aug 2022
Cited by 4 | Viewed by 1622
Abstract
In this paper, we propose a new numerical method based on the extended block Arnoldi algorithm for solving large-scale differential nonsymmetric Stein matrix equations with low-rank right-hand sides. This algorithm is based on projecting the initial problem on the extended block Krylov subspace [...] Read more.
In this paper, we propose a new numerical method based on the extended block Arnoldi algorithm for solving large-scale differential nonsymmetric Stein matrix equations with low-rank right-hand sides. This algorithm is based on projecting the initial problem on the extended block Krylov subspace to obtain a low-dimensional differential Stein matrix equation. The obtained reduced-order problem is solved by the backward differentiation formula (BDF) method or the Rosenbrock (Ros) method, the obtained solution is used to build the low-rank approximate solution of the original problem. We give some theoretical results and report some numerical experiments. Full article
(This article belongs to the Special Issue Computing and Green Technology)
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17 pages, 354 KiB  
Article
An Efficient Numerical Scheme Based on Radial Basis Functions and a Hybrid Quasi-Newton Method for a Nonlinear Shape Optimization Problem
by Youness El Yazidi and Abdellatif Ellabib
Math. Comput. Appl. 2022, 27(4), 67; https://doi.org/10.3390/mca27040067 - 4 Aug 2022
Viewed by 1482
Abstract
The purpose of this work is to construct a robust numerical scheme for a class of nonlinear free boundary identification problems. First, a shape optimization problem is constructed based on a least square functional. Schauder’s fixed point theorem is manipulated to show the [...] Read more.
The purpose of this work is to construct a robust numerical scheme for a class of nonlinear free boundary identification problems. First, a shape optimization problem is constructed based on a least square functional. Schauder’s fixed point theorem is manipulated to show the existence solution for the state solution. The existence of an optimal solution of the optimization problem is proved. The proposed numerical scheme is based on the Radial Basis Functions method as a discretization approach, the minimization process is a hybrid Differential Evolution heuristic method and the quasi-Newton method. At the end we establish some numerical examples to show the validity of the theoretical results and robustness of the proposed scheme. Full article
(This article belongs to the Special Issue Computing and Green Technology)
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