Computational Geosciences

  1. Modeling of Solid Earth Processes
    1. Seismology
      1. Seismic Wave Propagation Modeling
        1. Elastic Wave Equations
          1. P-waves and S-waves
            1. Wave Equation Derivation
              1. Boundary Conditions
              2. Numerical Simulation Techniques
                1. Finite Difference Methods
                  1. Finite Element Methods
                    1. Spectral Element Methods
                  2. Earthquake Source Modeling
                    1. Fault Mechanics
                      1. Stress and Strain
                        1. Friction Laws
                          1. Fault Geometry
                          2. Rupture Dynamics
                            1. Dynamic Rupture Models
                              1. Slip Distribution
                                1. Rupture Propagation
                              2. Seismic Tomography and Imaging
                                1. Travel-Time Tomography
                                  1. Ray Theory
                                    1. Inversion Methods
                                      1. Resolution Analysis
                                      2. Full Waveform Inversion
                                        1. Forward Modeling
                                          1. Gradient Computation
                                            1. Optimization Strategies
                                          2. Seismic Hazard Analysis
                                            1. Probabilistic Seismic Hazard Assessment
                                              1. Source Characterization
                                                1. Ground Motion Models
                                                  1. Hazard Curves
                                                  2. Ground Motion Prediction
                                                    1. Empirical Models
                                                      1. Physics-Based Models
                                                        1. Site Effects
                                                    2. Geodynamics
                                                      1. Mantle Convection
                                                        1. Governing Equations
                                                          1. Conservation of Mass
                                                            1. Conservation of Momentum
                                                              1. Conservation of Energy
                                                              2. Numerical Modeling Approaches
                                                                1. Finite Element Methods
                                                                  1. Finite Volume Methods
                                                                    1. Spectral Methods
                                                                  2. Plate Tectonics and Boundary Dynamics
                                                                    1. Plate Boundary Types
                                                                      1. Divergent Boundaries
                                                                        1. Convergent Boundaries
                                                                          1. Transform Boundaries
                                                                          2. Subduction and Spreading Processes
                                                                            1. Subduction Zone Dynamics
                                                                              1. Mid-Ocean Ridge Processes
                                                                                1. Back-Arc Spreading
                                                                              2. Lithospheric Deformation and Stress Modeling
                                                                                1. Rheology of Earth Materials
                                                                                  1. Elastic Deformation
                                                                                    1. Viscous Flow
                                                                                      1. Plastic Deformation
                                                                                      2. Fault and Fracture Modeling
                                                                                        1. Stress Concentration
                                                                                          1. Crack Propagation
                                                                                            1. Fault Networks
                                                                                          2. Post-Glacial Rebound
                                                                                            1. Glacial Isostatic Adjustment
                                                                                              1. Ice Loading History
                                                                                                1. Viscoelastic Response
                                                                                                  1. Sea Level Changes
                                                                                                  2. Modeling Techniques
                                                                                                    1. Green's Functions
                                                                                                      1. Finite Element Models
                                                                                                        1. Spectral Methods
                                                                                                    2. Geomagnetism
                                                                                                      1. Geodynamo Simulations
                                                                                                        1. Magnetohydrodynamics
                                                                                                          1. MHD Equations
                                                                                                            1. Magnetic Induction
                                                                                                              1. Lorentz Force
                                                                                                              2. Numerical Approaches
                                                                                                                1. Spectral Methods
                                                                                                                  1. Finite Difference Methods
                                                                                                                    1. Pseudo-Spectral Methods
                                                                                                                  2. Modeling the Earth's Magnetic Field
                                                                                                                    1. Field Generation and Evolution
                                                                                                                      1. Dynamo Theory
                                                                                                                        1. Field Reversals
                                                                                                                          1. Secular Variation
                                                                                                                          2. Data Assimilation in Geomagnetism
                                                                                                                            1. Observatory Data
                                                                                                                              1. Satellite Measurements
                                                                                                                                1. Kalman Filtering

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                                                                                                                          4. High-Performance and Parallel Computing

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                                                                                                                          6. Modeling of Fluid Earth Systems