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| Preface | |
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| Introduction | |
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| A tour of the fluvial system | |
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| A tour of the eolian system | |
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| A tour of the glacial system | |
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| Conclusions | |
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| The diffusion equation | |
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| Introduction | |
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| Analytic methods and applications | |
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| Numerical techniques and applications | |
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| Exercises | |
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| Flow routing | |
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| Introduction | |
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| Algorithms | |
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| "Cleaning up" US Geological Survey DEMs | |
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| Application of flow-routing algorithms to estimate flood hazards | |
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| Contaminant transport in channel bed sediments | |
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| Exercises | |
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| The advection/wave equation | |
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| Introduction | |
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| Analytic methods | |
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| Numerical methods | |
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| Modeling the fluvial-geomorphic response of the southern Sierra Nevada to uplift | |
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| The erosional decay of ancient orogens | |
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| Exercises | |
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| Flexural isostasy | |
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| Introduction | |
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| Methods for 1D problems | |
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| Methods for 2D problems | |
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| Modeling of foreland basin geometry | |
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| Flexural-isostatic response to glacial erosion in the western US | |
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| Exercises | |
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| Non-Newtonian flow equations | |
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| Introduction | |
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| Modeling non-Newtonian and perfectly plastic flows | |
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| Modeling flows with temperature-dependent viscosity | |
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| Modeling of threshold-sliding ice sheets and glaciers over complex 3D topography | |
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| Thrust sheet mechanics | |
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| Glacial erosion beneath ice sheets | |
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| Exercises | |
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| Instabilities | |
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| Introduction | |
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| An introductory example: the Rayleigh-Taylor instability | |
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| A simple model for river meandering | |
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| Werner's model for eolian dunes | |
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| Oscillations in arid alluvial channels | |
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| How are drumlins formed? | |
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| Spiral troughs on the Martian polar ice caps | |
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| Exercise | |
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| Stochastic processes | |
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| Introduction | |
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| Time series analysis and fractional Gaussian noises | |
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| Langevin equations | |
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| Random walks | |
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| Unsteady erosion and deposition in eolian environments | |
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| Stochastic trees and diffusion-limited aggregation | |
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| Estimating total flux based on a statistical distribution of events: dust emission from playas | |
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| The frequency-size distribution of landslides | |
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| Coherence resonance and the timing of ice ages | |
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| Exercises | |
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| Codes for solving the diffusion equation | |
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| Codes for flow routing | |
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| Codes for solving the advection equation | |
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| Codes for solving the flexure equation | |
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| Codes for modeling non-Newtonian flows | |
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| Codes for modeling instabilities | |
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| Codes for modeling stochastic processes | |
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| References | |
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| Index | |