Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Foundations
Sections
Editorial Board Members’ Collection Series: Theory and Its Applications in...
share announcement

Editorial Board Members’ Collection Series: Theory and Its Applications in Problems of Mathematical Physics and of Mathematical Chemistry

A topical collection in Foundations (ISSN 2673-9321). This collection belongs to the section "Mathematical Sciences".

Viewed by 1292

Editors

Prof. Dr. Ioannis K. Argyros

E-Mail Website
Collection Editor
Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA
Interests: numerical analysis; numerical functional analysis; iterative methods for solving equations and systems of equations
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Lorentz Jäntschi

E-Mail Website
Collection Editor
Department of Physics and Chemistry, Technical University of Cluj-Napoca, 400641 Cluj-Napoca, Romania
Interests: applied mathematics; applied informatics
Special Issues, Collections and Topics in MDPI journals

Topical Collection Information

Dear Colleagues,

An increasing amount of research interest has focused on the development of mathematical methods for application in problems in physics and chemistry. This series collection welcomes but is not limited to studies in the following branches: classical mechanics (including Lagrangian and Hamiltonian), partial differential equations (including variational calculus, Fourier analysis, potential theory, and vector analysis), quantum theory (theory of atomic spectra, quantum mechanics, Schrödinger operators), relativity and quantum relativistic theories (both special and general theories of relativity), statistical mechanics (including ergodic theory), chemical graph theory (including mathematical study of isomerism and the development of topological descriptors), structure–property relationships (including quantitative and nonlinear), chemical aspects of group theory (including applications in stereochemistry and quantum chemistry), molecular knot theory, and circuit topology.

Prof. Dr. Ioannis K. Argyros
Prof. Dr. Lorentz Jäntschi
Collection 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 collection 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. Foundations 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 1000 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.

Keywords

  • mathematical physics
  • mathematical chemistry
  • theoretical physics
  • theoretical chemistry
  • iterative methods
  • astrophysics
  • radiative transfer

Published Papers (1 paper)

2023

14 pages, 317 KiB  
Article
Extended Convergence of Two Multi-Step Iterative Methods
by Samundra Regmi, Ioannis K. Argyros, Jinny Ann John and Jayakumar Jayaraman
Foundations 2023, 3(1), 140-153; https://doi.org/10.3390/foundations3010013 - 13 Mar 2023
Cited by 1 | Viewed by 824
Abstract
Iterative methods which have high convergence order are crucial in computational mathematics since the iterates produce sequences converging to the root of a non-linear equation. A plethora of applications in chemistry and physics require the solution of non-linear equations in abstract spaces iteratively. [...] Read more.
Iterative methods which have high convergence order are crucial in computational mathematics since the iterates produce sequences converging to the root of a non-linear equation. A plethora of applications in chemistry and physics require the solution of non-linear equations in abstract spaces iteratively. The derivation of the order of the iterative methods requires expansions using Taylor series formula and higher-order derivatives not present in the method. Thus, these results cannot prove the convergence of the iterative method in these cases when such higher-order derivatives are non-existent. However, these methods may still converge. Our motivation originates from the need to handle these problems. No error estimates are given that are controlled by constants. The process introduced in this paper discusses both the local and the semi-local convergence analysis of two step fifth and multi-step 5+3r order iterative methods obtained using only information from the operators on these methods. Finally, the novelty of our process relates to the fact that the convergence conditions depend only on the functions and operators which are present in the methods. Thus, the applicability is extended to these methods. Numerical applications complement the theory. Full article
►▼ Show Figures

Figure 1

Back to TopTop