Applied mathematicians and experts from geo sciences are working together in area M, to foster an exchange with the other research areas and to transfer knowledge between the different disciplines. By working on consistent model formulation, new and consistent parameterisations and numerics for both atmosphere and ocean, the mathematicians can help climate scientists improve their models and thus enhance climate projections.
Specific research questions in Research Area M are:
- What is a mathematically and physically consistent model formulation for the different dynamical regimes and their interaction?
- Can we formulate better and physically consistent sub-grid scale parameterisations for the interaction between different dynamical regimes?
- Can we develop better numerical schemes?
Kutsenko, A. A. (2019). A note on sharp spectral estimates for periodic Jacobi matrices. Journal of Approximation Theory, Vol. 242, p. 58-63.
Gálfi, V. M., Lucarini, V., & Wouters, J. (2019). A large deviation theory-based analysis of heat waves and cold spells in a simplified model of the general circulation of the atmosphere. Journal of Statistical Mechanics: Theory and Experiment, 2019(3), 033404, https://doi.org/10.1088/1742-5468/ab02e8 .
Juricke, S., S. Danilov, A. Kutsenko and M. Oliver (2019). Ocean kinetic energy backscatter parametrizations on unstructured grids: Impact on mesoscale turbulence in a channel.Ocean Modelling.
Lucarini, V., & Bódai, T. (2019). Transitions across Melancholia States in a Climate Model: Reconciling the Deterministic and Stochastic Points of View. Physical review letters, 122(15), 158701, doi.org/10.1103/PhysRevLett.122.158701.
Gräwe, U., K. Klingbeil, J. Kelln, and S. Dangendorf (2019). Decomposing mean sea level rise in a semi-enclosed basin, the Baltic Sea. Journal of Climate.
Carlu, M., Ginelli, F., Lucarini, V., & Politi, A. (2019). Lyapunov analysis of multiscale dynamics: the slow bundle of the two-scale Lorenz 96 model. Nonlinear Processes in Geophysics, 26, 73-89, https://doi.org/10.5194/npg-26-73-2019 .
Gugole, F., and C.L. Franzke (2019). Numerical Development and Evaluation of an Energy Conserving Conceptual Stochastic Climate Model. Mathematics of Climate and Weather Forecasting, 5(1), 45-64.
Lorenz, M., K. Klingbeil, P. MacCready, and H. Burchard (2019). Numerical issues of the Total Exchange Flow (TEF) analysis framework for quantifying estuarine circulation, Ocean Science, 15, 601-614.
Stähler, S. C., Panning, M. P., Hadziioannou, C., Lorenz, R. D., Vance, S., Klingbeil, K., & Kedar, S. (2019). Seismic signal from waves on Titan's seas. Earth and Planetary Science Letters, 520, 250-259.
Noethen, F. (2019). Well-separating common complements of a sequence of subspaces of the same codimension in a Hilbert space are generic, arXiv:1906.08514