Radial Basis Functions (RBFs) for the Geosciences

Dear Colleagues,

The aim and scope of this Special Issue is on radial basis functions (RBFs) for the geosciences. RBFs are a powerful numerical methodology for scattered data fitting and solving differential equations. Their properties include high-order accuracy, extreme geometric flexibility, and algorithmic simplicity in any number of dimensions. In recent years, RBFs have had great success in the geosciences, competing successfully against the very best state-of-the-art methodologies in large benchmark test cases. In particular, local RBF methods, such as RBF-generated finite differences (RBF-FD) and RBF partition of unity (RBF-PU), have shown great promise, as they provide higher effective resolution compared with grid-based methods and are computationally inexpensive and easily parallelizable, both on traditional multi-core and heterogeneous (accelerator) computer architectures. Given the above compelling attributes, this Special Issue welcomes original scientific contributions that give an exposition of RBFs in the geosciences, from mathematical, numerical, or computational science viewpoints that demonstrate advancements in RBF methodology for geoscientific computing or from application viewpoints. Research articles that specifically use local RBF methods for modeling different aspects of Earth system science and include comparisons with other methods are especially encouraged for submission.

Dr. Natasha Flyer
Prof. Dr. Grady B. Wright
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. Atmosphere 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.

• Mesh-free discretization
• Computational geofluids
• Local RBF methods
• Geophysical fluid dynamics
• RBF-FD
• Earth system modeling
• RBF Partition of Unity
• Convection dominated flows
• Scalable algorithms
• Complex geometries.