Topics in Numerical Relativity: Solving the Initial Value Problem Using Adaptive Mesh Refinement, Examining Evolution Stability Using Spectral Methods, and Finding Apparent Horizons using a Mean Curvature--Level Set Method

numerical relativity;multigrid;adaptive mesh refinement;initial value problem;apparent horizon finder;level set method;mean curvature flow;distorted black holes;constraint violating modes;constrained evolution;spectral methods;ADM

Lowe, Lisa Lenore ; Dr. J. David Brown, Committee Chair,John Blondin, Committee Member,Stephen Reynolds, Committee Member,Gail McLaughlin, Committee Member,Lowe, Lisa Lenore ; Dr. J. David Brown ; Committee Chair ; John Blondin ; Committee Member ; Stephen Reynolds ; Committee Member ; Gail McLaughlin ; Committee Member

University:North Carolina State University

关键词: numerical relativity;    multigrid;    adaptive mesh refinement;    initial value problem;    apparent horizon finder;    level set method;    mean curvature flow;    distorted black holes;    constraint violating modes;    constrained evolution;    spectral methods;    ADM;   

Others  :  https://repository.lib.ncsu.edu/bitstream/handle/1840.16/4042/etd.pdf?sequence=1&isAllowed=y

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