High-Performance Numerical Methods for Geophysical Field Modeling
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: 31 May 2027 | Viewed by 105
Editor
Special Issue Information
Dear Colleagues,
Geophysical forward modeling—the process of computing theoretical observational responses given a known distribution of subsurface physical properties (density, magnetic susceptibility, wave velocity, resistivity, etc.) and source conditions—is the cornerstone of numerical modeling in geophysics. Geophysical forward modeling is not merely the starting point of numerical modeling, it is the hub connecting theoretical mathematics, computational science, and actual physical Earth processes. Without efficient and reliable forward modeling, inversion loses its foundation, understanding of complex systems remains qualitative speculation, and the full value of observational data cannot be realized. Therefore, strengthening forward modeling research—especially by incorporating new mathematical tools and high‑performance computing strategies—is an essential path toward accurate, quantitative, multi‑physics integrated geophysics.
This Special Issue is intended to bring together original research and reviews that represent the state of the art in various geophysical modeling topics, presented in a manner suitable for a mathematically oriented audience, with an emphasis on the central role of mathematical structures. Contributions regarding both theoretical and practical models of any geophysical phenomena are welcome.
Dr. Xiaozhong Tong
Guest Editor
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Keywords
- gravity modeling
- magnetic modeling
- direct current resistivity modeling
- magnetotelluric modeling
- seismic modeling
- finite-element method
- finite-difference method
- finite-volume method
- spectral method
- spectral element method
- deep learning
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