Aggregation-based Adaptive Algebraic Multigrid for Sparse Linear Systems

Acknowledgements I would like to thank Prof. Irad Yavneh for his invaluable guidance throughout this research, and for being a friend and teammate whose door is always open. His original ideas, experienced suggestions and great help were crucial to this research. I hope to keep working with you in the future; you made this experience truly meaningful and enjoyable. I want to thank my mentors and friends in the Technion for teaching me and sharing this experience with me. You have made my academic journey very special, and sparked my interest in computational mathematics. I would also like to thank to my colleagues and mentors in the Multigrid community for fascinating collaborations and discussions that have enriched my experience as a researcher. Thanks to you, attending the Copper mountain conferences and AMG summit truly feels like a visiting a family, and I hope to continue attending those and strengthen our friendship in the future. Lastly, I would like to thank the members of my thesis committee for their insightful remarks and valuable advice. Most importantly, I would like to thank my dear wife Dorit for her support, love, patience, and encouragement. It was an absolute pleasure to share this experience with you, and to raise our two children Kfir and Eyal, along the way. I would like to thank my parents, Shmuel and Kochava, and Dorit's parents, Lisa and Ilan, for their great help and love throughout this journey. My work would never be the same without you all. Funding Acknowledgements • Eran Treister is grateful to the Azrieli Foundation for the award of an Azrieli Fellowship. Being part of this fellowship has been a great honor and a truly enriching experience.