Special Issue "Selected Papers from the 2nd Global Conference on Applied Physics, Mathematics and Computing (APMC-18)"

A special issue of Mathematical and Computational Applications (ISSN 2297-8747).

Deadline for manuscript submissions: 31 December 2018

Special Issue Editor

Guest Editor
Prof. Dr. Israel González Carrasco

Department of Computer Science, Universidad Carlos III de Madrid, Spain
Website | E-Mail
Phone: +34 91 624 9117
Interests: languages and computer systems

Special Issue Information

Dear Colleagues,

Please visit this site http://physicsmathcomputing.com/ for a detailed description of this Special Issue. The Special Issue will mainly consist of selected papers presented at the "2nd Global Conference on Applied Physics, Mathematics and Computing (APMC-18)". Papers considered to fit the scope of the journal and of sufficient quality, after evaluation by the reviewers, will be published free of charge. The main topics of this Special Issue are:

Applied Mathematics

  • Mathematical modelling, simulation and optimization
  • Applied partial differential equations
  • Numerical analysis and mathematical methods
  • Mathematical modeling in materials science and biology
  • Nonlinear problems in mechanics
  • Homogenisation and multiscale analysis
  • Inverse problems
  • Algebra and its application
  • Differential equations, dynamical systems and their applications
  • Fuzzy mathematics and its applications
  • Geometry and its application
  • Statistical methods in technical and economic sciences and practice
  • Probability and decision theory
  • Design of experiments
  • Game theory

Applied Computing

  • Computer Applications in Science and Engineering
  • Modeling and Simulation
  • Computational chemistry and physics. Computational materials
  • Computational fluid dynamics
  • Computation and data enabled social science. Business and Social Issues
  • Computer Science
  • Bioinformatics and computational biology
  • Information Technology
  • Web Technology
  • Measurement Technologies
  • Software Design and Development
  • Simulation Tools
  • Formal Methods
  • Networking and Internet of Things
  • Artificial Intelligence
  • Trends and Applications in Accessibility

Prof. Dr. Israel González Carrasco
Guest Editor

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 papers will be 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 quarterly 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 300 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.

Published Papers (2 papers)

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Research

Open AccessArticle Iterated Petrov–Galerkin Method with Regular Pairs for Solving Fredholm Integral Equations of the Second Kind
Math. Comput. Appl. 2018, 23(4), 73; https://doi.org/10.3390/mca23040073
Received: 22 October 2018 / Revised: 9 November 2018 / Accepted: 12 November 2018 / Published: 13 November 2018
PDF Full-text (335 KB)
Abstract
In this work we obtain approximate solutions for Fredholm integral equations of the second kind by means of Petrov–Galerkin method, choosing “regular pairs” of subspaces, Xn,Yn, which are simply characterized by the positive definitiveness of a correlation matrix. This choice guarantees the solvability
[...] Read more.
In this work we obtain approximate solutions for Fredholm integral equations of the second kind by means of Petrov–Galerkin method, choosing “regular pairs” of subspaces, Xn,Yn, which are simply characterized by the positive definitiveness of a correlation matrix. This choice guarantees the solvability and numerical stability of the approximation scheme in an easy way, and the selection of orthogonal basis for the subspaces make the calculations quite simple. Afterwards, we explore an interesting phenomenon called “superconvergence”, observed in the 1970s by Sloan: once the approximations un∈Xn to the solution of the operator equation u-Ku=g are obtained, the convergence can be notably improved by means of an iteration of the method, un*=g+Kun. We illustrate both procedures of approximation by means of two numerical examples: one for a continuous kernel, and the other for a weakly singular one. Full article
Open AccessFeature PaperArticle Green’s Function of the Linearized Logarithmic Keller–Segel–Fisher/KPP System
Math. Comput. Appl. 2018, 23(4), 56; https://doi.org/10.3390/mca23040056
Received: 14 September 2018 / Revised: 1 October 2018 / Accepted: 1 October 2018 / Published: 3 October 2018
PDF Full-text (317 KB) | HTML Full-text | XML Full-text
Abstract
We consider a Keller–Segel type chemotaxis model with logarithmic sensitivity and logistic growth. The logarithmic singularity in the system is removed via the inverse Hopf–Cole transformation. We then linearize the system around a constant equilibrium state, and obtain a detailed, pointwise description of
[...] Read more.
We consider a Keller–Segel type chemotaxis model with logarithmic sensitivity and logistic growth. The logarithmic singularity in the system is removed via the inverse Hopf–Cole transformation. We then linearize the system around a constant equilibrium state, and obtain a detailed, pointwise description of the Green’s function. The result provides a complete solution picture for the linear problem. It also helps to shed light on small solutions of the nonlinear system. Full article
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