Advances in Computational Physics and Mathematical Physics
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E4: Mathematical Physics".
Deadline for manuscript submissions: 20 July 2026
Special Issue Editors
2. National Institute for Theoretical and Computational Sciences (NITheCS), University of KwaZulu-Natal, Pietermaritzburg 3201, South Africa
Interests: PDEs; dynamical systems; Lie and Noether symmetries; differential geometry; relativity
Special Issues, Collections and Topics in MDPI journals
2. National Institute for Theoretical and Computational Sciences (NITheCS), University of KwaZulu-Natal, Pietermaritzburg 3201, South Africa
Interests: nonlinear PDEs; complex phenomena; dynamical gauge theories; spin field theory; spin dynamics; high-performance computing; quantum computing; many-body physics
Special Issue Information
Dear Colleagues,
Partial differential equations (PDEs) play a fundamental role in mathematical physics, providing a rigorous framework for advancing research in applied mathematics and the physical sciences. They serve as powerful tools for modeling and solving boundary value problems through well-established as well as emerging methodologies.
This Special Issue aims to bring together high-quality contributions from leading experts in the field, with a particular focus on analytical and semi-analytical techniques. The scope of applications includes, but is not limited to, the following:
- Fluid dynamics, creeping hydrodynamics, and magnetic fluids;
- Direct and inverse scattering problems in wave phenomena;
- Mathematical methods to solve problems of mathematical physics;
- Electromagnetism and low-frequency scattering;
- Scattering of elastic waves in isotropic and anisotropic materials;
- Interactions with cold atmospheric pressure plasma jet systems and actuators;
- Mathematical cosmology;
- AI and contemporary mathematical physics.
In addition, submissions emphasizing numerical methods for the application of PDEs in mathematical physics are also welcome, provided they incorporate analytical approaches at key stages of the derivations and procedures.
We invite original research articles, as well as comprehensive reviews, that advance theoretical developments, computational methodologies, or interdisciplinary applications of PDEs in mathematical physics.
Prof. Dr. Michael Tsamparlis
Dr. Aniekan Magnus Ukpong
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
- fluid dynamics
- wave phenomena
- mathematical methods
- numerical methods
- electromagnetism
- atmospheric pressure plasma
- mathematical cosmology
- AI
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