The purpose of this book is to provide a theoretical foundation and an understanding of atomistic spin-dynamics (ASD) and to give examples of where the atomistic Landau-Lifshitz-Gilbert equation can and should be used. As argued in the text a description of magnetism in an atomistic way is<br>very natural and allows for an interpretation of experimental results in a clear and deep way. This description also allows for calculations from first principles of all parameters needed to perform the spin-dynamics simulations without using experimental results as input to the simulations. As<br>shown in the book we are now at a very exciting situation where it is possible to perform accurate and efficient atomistic simulations on a length- and time-scale which is balancing on the edge of what is experimentally possible. In this way ASD simulations can both validate and be validated by<br>state-of-the art experiments and ASD simulations also have the possibility to act as a predictive tool that is able to explain the magnetization dynamics in experimentally inaccessible situations. The purpose of this book has been to communicate technically relevant concepts. An even larger<br>motivation is to communicate an inspiration to magnetism and magnetization dynamics and the emerging technological fields that one may foresee e.g. in magnonics solitonics and skyrmionics.<br>
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