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add project2

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Zhe Yuan
2025-11-10 20:23:08 -05:00
parent bd5715388b
commit dd4675235d
17 changed files with 730 additions and 1 deletions
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project2/problem1_output.txt Normal file
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Exact solution plot saved to 'problem1_exact_solution.png'
--- Solving for n = 20 ---
Starting iterative solvers...
Running Jacobi...
Running Gauss-Seidel...
Running SOR...
Running Steepest Descent...
Running Conjugate Gradient...
--- Iteration Counts ---
Jacobi : 2031 iterations (converged, last residual = 5.78e-13)
Gauss-Seidel : 1018 iterations (converged, last residual = 5.72e-13)
SOR : 94 iterations (converged, last residual = 4.52e-13)
Steepest Descent : 2044 iterations (converged, last residual = 5.74e-13)
Conjugate Gradient : 20 iterations (converged, last residual = 1.39e-18)
Convergence plot saved to 'problem1_convergence_n20.png'
All solutions comparison plot saved to 'problem1_all_solutions_comparison_n20.png'
--- Solving for n = 40 ---
Starting iterative solvers...
Running Jacobi...
Running Gauss-Seidel...
Running SOR...
Running Steepest Descent...
Running Conjugate Gradient...
--- Iteration Counts ---
Jacobi : 7758 iterations (converged, last residual = 2.15e-13)
Gauss-Seidel : 3882 iterations (converged, last residual = 2.16e-13)
SOR : 183 iterations (converged, last residual = 2.04e-13)
Steepest Descent : 7842 iterations (converged, last residual = 2.16e-13)
Conjugate Gradient : 40 iterations (converged, last residual = 5.40e-19)
Convergence plot saved to 'problem1_convergence_n40.png'
All solutions comparison plot saved to 'problem1_all_solutions_comparison_n40.png'