Applied Mathematics and Numerical Analysis
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".
Deadline for manuscript submissions: closed (31 October 2023) | Viewed by 496
Special Issue Editors
2. Scientific and Educational Center of Department of Mathematics and Modeling, Yuri Gagarin State Technical University of Saratov, Politehnicheskaya 77, 410054 Saratov, Russia
3. Laboratories 3D Structural and Functional Design, Moscow State University of Technology "STANKIN", GSP-4, Vadkovsky per., 1, 127994 Moscow, Russia
Interests: variational principles and methods; mathematical modeling of discrete–continuous systems; analytical and numerical methods; partial and ordinary differential equations; integral equa-tions; theoretical and applied mathematics; linear and nonlinear mechanics of composite structures at the macro, micro, and nano scale; advanced numerical methods for MEMS/NEMS sensors; wavelet analysis in chaotic vibrations of the continuous mechanical systems, stability, wave propagation analyses; signal processing for brain–computer interfaces (BCI); EEG signal processing
2. Lavrentyev Institute of Hydrodynamics of SB RAS, Lavrentyev av., 15, 630090 Novosibirsk, Russia
Interests: numerical methods for solving elliptic, hyperbolic, and parabolic nonlinear partial differential equations; proof of convergence and existence theorems for solutions; mathematical models; distributed mechanical structures taking into account the high nonlinearity
Special Issue Information
Dear Colleagues,
Mathematical modeling and numerical methods are applied as a rule to solve a wide variety of problems in applied mathematics, mathematical physics, and technology. Distributed nanostructures such as nanobeams, nanoplates, and nanoshell are widely applied fundamental parts of sensitive elements of numerous nano/microelectromechanical sensors. In the study of distributed mechanical systems, it is necessary take into account nanoeffects, the influence of temperature, magnetic, noise, and electric fields, as well as neutron irradiation. To solve this problem, the study of nanostructures necessary to create new mathematical models. As a rule, they lead to systems of nonlinear partial differential equations. Also necessary is the justification of the correctness of the governing systems of PDEs, as well as the proof of existence and uniqueness theorems of the solution, if possible. Finally, it is also necessary to create new effective methods of computation and prove the convergence of solutions obtained using these methods.
The aim of this Special Issue is to collect high-quality articles that address the role of applied mathematics and numerical methods in the study of nonlinear problems nanoscaled and macroscaled distributed mechanical systems.
Prof. Dr. Anton V. Krysko
Prof. Dr. Vadim Krysko
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. Mathematics 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 2600 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
- nonlinear dynamics
- chaos
- microstructures and nanostructures
- computational modeling
- numerical analysis
- solution convergence
- nanobeams, nanoplates, nanoshells
- functionally graded porous materials
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.
Further information on MDPI's Special Issue policies can be found here.
