Symmetry in Numerical Solutions

Dear Colleagues,

Many physical systems—such as those governed by conservation of energy, momentum, and angular momentum—possess inherent symmetries. A central challenge in developing numerical algorithms and schemes to solve these continuous systems is the preservation of geometric or algebraic invariants (e.g., conservation laws, time reversibility, and rotational invariance) during discretization. Standard methods often introduce discretization errors that break symmetry, leading to numerical instabilities, unphysical artifacts, or long-term drift in conserved quantities.

This Special Issue emphasizes the development of accurate, stable, and state-of-the-art methods for solving systems arising in celestial mechanics, molecular dynamics, quantum physics, and related fields, with the goal of ensuring physically faithful solutions in long-term simulations.

Dr. Chuan Li
Guest Editor

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 250 words) can be sent to the Editorial Office for assessment.

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. Symmetry 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.