Imaging Convection And Magnetism In The Sun (springerbriefs In Mathematics)

This book reviews the field of helioseismology and its outstanding challenges and also offers a detailed discussion of the latest computational methodologies. The focus is on the development and implementation of techniques to create 3-D images of convection and magnetism in the solar interior and to introduce the latest computational and theoretical methods to the interested reader. With the increasing availability of computational resources, demand for greater accuracy in the interpretation of helioseismic measurements and the advent of billion-dollar instruments taking high-quality observations, computational methods of helioseismology that enable probing the 3-D structure of the Sun have increasingly become central. This book will benefit students and researchers with proficiency in basic numerical methods, differential equations and linear algebra who are interested in helioseismology. Front Matter....Pages i-xvii Introduction....Pages 1-19 Wave Equation Solver....Pages 21-45 Adjoint Optimization....Pages 47-73 Full Waveform Inversion....Pages 75-103 Whither helioseismology?....Pages 105-107 Back Matter....Pages 109-131