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What is Convergence Analysis of PDE Methods about?

The document discusses solving partial differential equations using Jacobi and Gauss-Seidel iterative methods. It provides convergence tables and charts showing how the number of iterations varies with relaxation parameters for both methods. Gauss-Seidel converges faster than Jacobi. For Gauss-Seidel, optimal convergence occurs around a relaxation parameter of 1.4-1.6. Over-relaxation leads to extremely rapid convergence, while values above 2.5 cause divergence.

Author

Gunsu Han

Language

EN