Advances of Numerical Methods in Engineering

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: closed (29 February 2024) | Viewed by 1017

Special Issue Editors


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Guest Editor
1. Department of Applied Software and Mathematical Methods, Moscow Aviation Institute, National Research University, Volokolamskoye Shosse 4, Moscow 125993, Russia
2. Research Institute of Mechanics, Lomonosov Moscow State University, Michurinsky Prospekt 1, Moscow 119192, Russia
Interests: interaction of unsteady physical fields of different physical nature; numerical-analytical methods for solving initial-boundary value problems

E-Mail Website
Guest Editor
1. Department of Strength of Materials, Dynamics and Strength of Machines, Moscow Aviation Institute, National Research University, Volokolamskoye Shosse 4, Moscow 125993, Russia
2. Research Institute of Mechanics Lomonosov Moscow State University, Michurinsky Prospekt 1, Moscow 119192, Russia
Interests: non-stationary contact problems in the mechanics of structures and continuous media; mechanics of media with complicated properties

Special Issue Information

Dear Colleagues,

It is well established that differential and integral equations have various applications in modeling the dynamics of many real-life phenomena and processes, including mathematics, mechanics, physics, chemistry, engineering, life sciences, economics, etc.

However, in most cases the analytical solution of the corresponding initial-boundary value problems causes serious mathematical difficulties. One way to solve these problems is to use numerical methods or a combination of numerical and analytical methods.

This Special Issue of Axioms is devoted to issues related to the development of new numerical-analytical methods, as well as the modification of known algorithms for solving applied mathematical problems. 

In this Special Issue, original research articles and reviews are welcome. Research areas may include (but are not limited to) the following: 

  • Ordinary differential equations;
  • Partial differential equations;
  • Delay differential equations;
  • Fractional differential equations;
  • Functional equations;
  • Integral equations;
  • Impulsive equations;
  • Dynamical systems on time scales;
  • Difference equations;
  • Stochastic processes.

I look forward to receiving your contributions.

Dr. Andrei Zemskov
Dr. Grigory Fedotenkov
Guest Editors

Manuscript Submission Information

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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. Axioms is an international peer-reviewed open access monthly 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 2400 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

  • initial boundary value problems
  • finite difference method
  • finite element method
  • boundary element method
  • integral transform
  • fourier series

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Published Papers

There is no accepted submissions to this special issue at this moment.
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