Advances in Nonlinear Analysis and Numerical Modeling
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 30 September 2025 | Viewed by 63
Special Issue Editors
Interests: applied mathematics (fluid mechanics, urbanism, robotics, statistics, economics); numerical methods; estimation theory and evolutionary algorithms; nonlinear analysis, optimization and control applications
Interests: applied mathematics; numerical simulations; functional analysis
Special Issue Information
Dear Colleagues,
In the last few decades, nonlinear analysis and approximate computing has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory, and signal and image processing.
Nonlinear analysis and estimation theory are fundamental areas of applied mathematics and engineering that deal with understanding and predicting the behaviour of complex systems. Nonlinear analysis with engineering applications of estimation theory refers to a field in which small modifications of functions and functionals are used to find their relevant maxima and minima.
Nonlinear analysis is a powerful tool for tackling a range of dynamic problems with hard-to-determine solutions. Its value in engineering fields, where materials and geometric configurations can produce very specific problems with unconventional or non-intuitive solutions, is considerable.
An alternative estimation approach based on asymptotic analysis and/or multiscale expansions could be used to solve various nonlinear systems or to better approximate solutions or statistical distributions that model economic or engineering real data.
This Special issue encourages scientists to publish their experimental and theoretical results in as much detail as possible. This Special Issue also includes articles investigating various aspects of mathematical physics through nonlinear analysis and numerical modeling. The contributions focus on both abstract and numerical viewpoints, with major applications in theory and optimization methods, and are ideal for advanced students, researchers, and instructors in engineering and materials science.
The focus of this Special Issue is to continue to advance research on topics related to estimation theory and nonlinear analysis for nonlinear physics and engineering problems. Topics that are invited for submission include (but are not limited to) the following:
- Estimation of nonlinearities: asymptotic developments and perturbations;
- Solving nonlinear problems through parameter analysis and scale analysis;
- Modeling, simulation, and optimization;
- Interdisciplinary applications of mathematical theory;
- General problems in mathematical physics.
We look forward to receiving your contributions.
Dr. Elena-Corina Cipu
Dr. Cosmin Dănuț Barbu
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. 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
- modeling
- simulation and optimization
- nonlinear analysis
- perturbations
- parameter estimations
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