An adaptive Runge-Kutta-Fehlberg method for time-dependent discrete ordinate transport

نویسنده

  • Christopher A. Edgar
چکیده

To my beautiful wife, Ashley. For your unconditional love, faithful encouragement, and resolute support. You have always believed in and inspired the pursuit of my dreams. iv ACKNOWLEDGEMENTS I would first like to express my immense gratitude to my advisor, Dr. Glenn Sjoden. What started as an undergraduate summer research project transformed into my path in graduate school. As both an advisor and a friend, thank you for all the years of valuable instruction, guidance, and support. You have been the best advisor, mentor, and advocate a student could ask for. My sincere appreciation goes to the members of my dissertation reading through my years in graduate school. I am indebted to my colleagues in the former Computational Radiation Transport Laboratory (CRiTCEL) at the Georgia Institute of Technology, especially Dr. Kevin Manalo, who has provided a much needed sounding board during this process. I wish to express my appreciation to Mr. their kind words of support and friendship these past few years. I would like to express my tremendous appreciation for my wife, Ashley, for her unwavering love, support and inspiration – completing this dissertation would have been much harder without her. Lastly, I would like to thank my family, especially my parents, Christopher and Kelly, for their ongoing support and encouragement throughout my life.

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تاریخ انتشار 2015