This session seeks advances in the mathematical and numerical foundations of physics-based models of glaciers and ice sheets. We welcome new numerical methods and discretization frameworks, as well as mathematical analysis of the underlying continuum equations, including results on well-posedness and solution behavior. Contributions on the analysis of numerical methods, including consistency, stability, convergence, accuracy, and robustness, are particularly encouraged.

We welcome advances in solvers, computational libraries, and coupling techniques. Methodological advancements for the treatment of challenging components and boundaries, such as grounding lines, calving fronts, subglacial hydrology, and ice–ocean interactions, along with inverse problem methodology, are aligned with the session's scope. Theoretical and methodological developments in machine learning, including new architectures for glaciological applications, are also welcome, as are contributions that connect mathematical analysis to practical glacier and ice-sheet simulation.