Nonlinear Processes in Geophysics
Nonlinear Processes in Geophysics
NPG
Articles | Volume 32, issue 1
Articles | Volume 32, issue 1
https://doi.org/10.5194/npg-32-23-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/npg-32-23-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 32, issue 1
Research article
 | 
22 Jan 2025
Research article |  | 22 Jan 2025

Solving a North-type energy balance model using boundary integral methods

Aksel Samuelsberg and Per Kristen Jakobsen

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This preprint is open for discussion and under review for Climate of the Past (CP).
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Abbot, D. S., Voigt, A., and Koll, D.: The Jormungand global climate state and implications for Neoproterozoic glaciations, J. Geophys. Res.-Atmos., 116, D18103, https://doi.org/10.1029/2011JD015927, 2011. a, b
Adams, B., Carr, J., Lenton, T., and White, A.: One-dimensional daisyworld: spatial interactions and pattern formation, J. Theor. Biol., 223, 505–513, 2003. a, b, c
Alberti, T., Primavera, L., Vecchio, A., Lepreti, F., and Carbone, V.: Spatial interactions in a modified Daisyworld model: Heat diffusivity and greenhouse effects, Phys. Rev. E, 92, 052717, https://doi.org/10.1103/PhysRevE.92.052717, 2015. a, b, c
Alberti, T., Lepreti, F., Vecchio, A., and Carbone, V.: On the stability of a climate model for an Earth-like planet with land-ocean coverage, J. Phys. Commun., 2, 065018, https://doi.org/10.1088/2399-6528/aacd8d, 2018. a
Bastiaansen, R., Dijkstra, H. A., and von der Heydt, A. S.: Fragmented tipping in a spatially heterogeneous world, Environ. Res. Lett., 17, 045006, https://doi.org/10.1088/1748-9326/ac59a8, 2022. a
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We explored a simplified climate model based on Earth's energy budget. One advantage of such models is that they are easier to study mathematically. Using a mathematical technique known as boundary integral methods, we present a new way to solve these climate models. This method is particularly useful for modeling climates very different from Earth's current state, such as those on other planets or during past ice ages.
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