First Steps Towards Modeling a Multi-Scale Earth System -- 3D Mesh Generation in Geocomputing -- Strategies for Preconditioning Methods of Parallel Iterative Solvers for Finite-Element Applications in Geophysics -- Algorithms for Optimizing Rheology and Loading Forces in Finite Element Models of Lithospheric Deformation -- Mantle Dynamics - A Case Study -- The ESyS_Particle: A New 3-D Discrete Element Model with Single Particle Rotation -- The TeraShake Computational Platform for Large-Scale Earthquake Simulations -- Probabilistic Forecast of Tsunami Hazards along Chinese Coast.