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This book presents a series of numerical simulation studies of the earthquake generation process and the evaluation of the hazards caused by large earthquakes and tsunamis, drawn from three distinct topical areas. First, recent research results on earthquake source physics are introduced, which can be used as input for hazard evaluation studies. Then, propagation of seismic waves and tsunamis is discussed, connecting what happens at the source with the resulting damage. Finally, earthquake statistics for forecasting are discussed, a practical application of our knowledge for the mitigation of earthquake and tsunami disasters. This book is suitable for graduate students who are interested in the earthquake generation process and its application in the future. It also will serve researchers who want or need to know how to evaluate the damage due to earthquakes and tsunamis.