Multigrid methods and Domain Decomposition, which are crucial for solving massive systems efficiently. 2. Nonlinear Systems
The primary goal of MATH 6644 is to provide students with a deep understanding of the mathematical foundations and practical implementations of iterative solvers. Unlike direct solvers (like Gaussian elimination), iterative methods are essential when dealing with "sparse" matrices—those where most entries are zero—common in the discretization of partial differential equations (PDEs). Key learning outcomes include: math 6644
Evaluating how fast a method approaches a solution and understanding why it might fail. Multigrid methods and Domain Decomposition