Multigrid Methods

To numerically address partial differential equations, large linear or nonlinear systems of equations must be formulated and solved. This is usually done using iterative methods that avoid unnecessary operations with the many zeros in the coefficient matrix. Among the fastest and most important methods in this class are multigrid methods, which build large structures from small ones in a stepwise manner. The key mathematical and algorithmic properties are explained clearly and with many examples. The volume focuses on model problems, where the main methods and the application of software are explained and presented, ensuring that it remains understandable for a broad audience of technically interested readers, especially since the fundamentals are thoroughly reviewed.