[Coursera] Scientific Computing by Nathan Kutz

Creation Time	Dec. 19, 2024, 1:22 a.m.
Last Access Time	Feb. 17, 2025, 1:36 a.m.
File Size	3.2 GB
Keywords	Nathan Scientific Kutz Computing Coursera by
Total Requests	35
Total Files	366
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04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/02_Week_3-_7.1_-_Shallow-fluids_and_Conservation_of_Mass.mp4 63.5 MB
05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/03_Week_3-_8.3_-_Building_the_Laplacian_Matrix.mp4 63.2 MB
07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/03_Week_4-_10.2_-_Strict_diagonal_dominance.mp4 56.1 MB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/05_Week_7-_19.4_-_Cooley-Tukey_and_the_FFT_algorithm.mp4 51.4 MB
11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/03_Week_5-_14.3_-_MATLAB_and_the_2-D_heat_equation.mp4 49.9 MB
11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/01_Week_5-_14.1_-_Implementing_time-stepping_for_PDEs.mp4 48.8 MB
19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/02_Week_8-_22.1_-_The_Chebychev_grid_and_differentiation.mp4 47.7 MB
06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/04_Week_3-_9.4_-_The_Backslash_Command_in_MATLAB.mp4 46.3 MB
20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/01_Week_8-_23.1_-_Filtering_for_removing_stiffness.mp4 46.2 MB
13_Week_6_-_Lecture_16_-_Stability_analysis/04_Week_6-_16.3_-_Von_Neumann_for_alternative_schemes_for_the_one-way_wave_equation.mp4 43.9 MB
10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/04_Week_5-_13.3_-_Building_the_Laplace_derivative_matrix.mp4 43.4 MB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/04_Week_2-_4.3_-_Coding_the_boundary_value_problem.mp4 42.4 MB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/03_Week_2-_6.2_-_Implementing_bvp4c_in_MATLAB.mp4 41.6 MB
14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/04_Week_6-_17.4_-_Higher-order_derivatives_and_numerical_stiffness.mp4 39.4 MB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/05_Week_9-_25.4_-_The_general_splitting_method-_the_Trotter_product_error.mp4 39.0 MB
23_Week_9_-_Lecture_26_-_Finite_element_basis/01_Week_9-_26.1_-_The_finite_element_method.mp4 38.6 MB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/02_Week_10-_28.1_-_Wing_aerodynamics.mp4 38.2 MB
09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/03_Week_4-_12.3_-_Matrices_for_the_advection-diffusion.mp4 38.1 MB
04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/03_Week_3-_7.2_-_The_Advection-Diffusion_Equations.mp4 37.1 MB
05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/01_Week_3-_8.1_-_Algorithms_for_Solving_the_Advection-Diffusion_Equation.mp4 36.8 MB
06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/02_Week_3-_9.2_-_The_LU_Decomposition.mp4 36.2 MB
17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/04_Week_7-_20.4_-_Domain_discretization_with_Chebychev.mp4 36.1 MB
09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/02_Week_4-_12.2_-_Fixing_the_divide_by_zero_with_FFTs.mp4 35.9 MB
09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/01_Week_4-_12.1_-_Singular_Poisson_matrix.mp4 35.9 MB
14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/01_Week_6-_17.1_-_Von_Neumann_analysis_for_the_heat_equation.mp4 35.7 MB
19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/04_Week_8-_22.3_-_Implementing_the_Chebychev_function.mp4 35.2 MB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/02_Week_2-_5.1_-_Computing_derivatives_with_Taylor_series.mp4 35.1 MB
17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/02_Week_7-_20.2_-_The_Chebychev_transform.mp4 34.7 MB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/03_Week_9-_25.2_-_The_nonlinear_Schrodinger_equation.mp4 34.5 MB
20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/02_Week_8-_23.2_-_The_integrating_factor_for_PDEs.mp4 34.5 MB
24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/04_Week_9-_27.4_-_Setting_up_Axb.mp4 34.2 MB
24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/01_Week_9-_27.1_-_Building_finite_element_matrices.mp4 34.1 MB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/05_Week_2-_6.4_-_Solving_nonlinear_problems_with_bvp4c.mp4 33.7 MB
13_Week_6_-_Lecture_16_-_Stability_analysis/05_Week_6-_16.4_-_leap-frog_schemes_for_one-way_equation.mp4 33.4 MB
15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/04_Week_6-_18.4_-_Violating_and_respecting_CFL_in_the_heat_equation.mp4 33.1 MB
05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/02_Week_3-_8.2_-_Discretizing_the_Laplacian.mp4 32.9 MB
06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/03_Week_3-_9.3_-_Factoring_a_Matrix.mp4 32.8 MB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/03_Week_2-_5.2_-_Second_derivatives_and_forward-_and_backward_differences.mp4 32.8 MB
08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/04_Week_4-_11.4_-_The_Fast_Poisson_Solver.mp4 32.5 MB
18_Week_7_-_Lecture_21_-_Spectral_method_implementation/01_Week_7-_21.1_-_Programming_the_Advection-Diffusion_Equations.mp4 32.0 MB
18_Week_7_-_Lecture_21_-_Spectral_method_implementation/04_Week_7-_21.4_-_Visualization_and_data_processing.mp4 31.9 MB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/03_Week_7-_19.2_-_Fourier_mode_expansions.mp4 31.2 MB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/02_Week_7-_19.1_-_Introduction_to_spectral_methods.mp4 31.1 MB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/04_Week_8-_24.4_-_Building_the_Chebycheve_derivative_matrix.mp4 31.1 MB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/05_Week_10-_28.4_-_No_slip_boundaries_on_airfoil.mp4 30.7 MB
20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/04_Week_8-_23.4_-_More_comparisons.mp4 29.8 MB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/02_Week_8-_24.2_-_Polynomial_approximations.mp4 29.6 MB
08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/03_Week_4-_11.3_-_FFT_facts.mp4 29.4 MB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/05_Week_8-_24.5_-_Implementing_the_Chebychev_matrix.mp4 29.3 MB
24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/03_Week_9-_27.3_-_Implementing_the_finite_elements.mp4 29.2 MB
23_Week_9_-_Lecture_26_-_Finite_element_basis/04_Week_9-_26.4_-_2D_Lagrange_polynomials.mp4 29.1 MB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/04_Week_2-_5.3_-_Boundary_value_problems_and_Axb.mp4 28.9 MB
17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/01_Week_7-_20.1_-_Spectral_methods_more_broadly_viewed.mp4 28.7 MB
11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/02_Week_5-_14.2_-_MATLAB_and_the_1-D_heat_equation.mp4 28.6 MB
17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/03_Week_7-_20.3_-_The_Chebychev_basis_functions.mp4 28.5 MB
14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/02_Week_6-_17.2_-_leap-frog_for_the_wave_equation.mp4 28.3 MB
24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/02_Week_9-_27.2_-_The_variational_reduction_of_the_PDE.mp4 28.2 MB
15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/01_Week_6-_18.1_-_Implementing_time-stepping_algorithms_and_the_CFL_condition.mp4 28.1 MB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/01_Week_8-_24.1_-_Boundary_conditions_of_spectral_methods.mp4 27.6 MB
23_Week_9_-_Lecture_26_-_Finite_element_basis/02_Week_9-_26.2_-_Triangularing_the_computational_domain.mp4 27.5 MB
07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/04_Week_4-_10.3_-_Gauss-Seidel_iterations.mp4 27.4 MB
23_Week_9_-_Lecture_26_-_Finite_element_basis/03_Week_9-_26.3_-_Lagrange_polynomials.mp4 27.1 MB
08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/02_Week_4-_11.2_-_Derivative_relations.mp4 26.9 MB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/04_Week_10-_28.3_-_Boundary_conditions.mp4 26.8 MB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/05_Week_5-_15.5_-_Predictor-corrector_techniques.mp4 26.4 MB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/06_Week_2-_5.5_-_Nonlinear_boundary_value_problems.mp4 26.3 MB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/02_Week_9-_25.1_-_Operator_splitting-_linear_and_nonlinear_terms.mp4 26.1 MB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/01_Week_5-_15.1_-_Discretizing_the_one-way_wave_equation.mp4 25.9 MB
14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/03_Week_6-_17.3_-_Higher-order_PDEs_and_stability.mp4 25.7 MB
19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/03_Week_8-_22.2_-_2D_Chebychev_differentiation_and_KRON.mp4 25.7 MB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/04_Week_7-_19.3_-_Modal_structures_for_cosine-sine_transforms.mp4 24.9 MB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/03_Week_10-_28.2_-_Advection-diffusion_equations.mp4 24.8 MB
13_Week_6_-_Lecture_16_-_Stability_analysis/02_Week_6-_16.1_-_Von_Neumann_analysis_for_stability.mp4 24.7 MB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/03_Week_5-_15.3_-_Higher-accuracy_derivatives_and_schemes.mp4 24.4 MB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/02_Week_2-_4.1_-Converting_to_first-order_systems.mp4 24.3 MB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/03_Week_8-_24.3_-_Chebychev_points_and_polynomials.mp4 24.2 MB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/04_Week_5-_15.4_-_Implicit_numerical_schemes.mp4 24.1 MB
06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/01_Week_3-_9.1_-_Linear_Systems_of_Equations.mp4 24.0 MB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/02_Week_5-_15.2_-_The_CFL_number_and_stability.mp4 23.3 MB
20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/03_Week_8-_23.3_-_Comparison_of_coding_techniques.mp4 23.3 MB
04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/04_Week_3-_7.3_-_Solution_Techniques_and_Characteristics_of_Advection-Diffusion.mp4 23.1 MB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/02_Week_2-_6.1_-_Setting_up_boundary_value_problems_in_MATLAB.mp4 22.8 MB
15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/02_Week_6-_18.2_-_Implementing_time-stepping_for_the_one-way_wave_equation.mp4 22.3 MB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/06_Week_2-_4.5_-_Multiple_solutions_and_eigenvalues.mp4 22.3 MB
18_Week_7_-_Lecture_21_-_Spectral_method_implementation/03_Week_7-_21.3_-_The_time-evolution_of_advection-diffusion.mp4 22.2 MB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/01_Week_10-_30.1_-_Flow_over_an_airfoil.mp4 21.8 MB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/06_Week_10-_29.6_-_A_second_example_with_interior_domains.mp4 21.4 MB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/04_Week_9-_25.3_-_Algorithm_for_split_stepping.mp4 20.8 MB
15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/03_Week_6-_18.3_-_Violating_and_respecting_CFL_in_the_one-way_wave_equation.mp4 20.5 MB
08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/01_Week_4-_11.1_-_The_Fast_Fourier_Transform.mp4 20.5 MB
07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/02_Week_4-_10.1_-_A_basic_iteration_procedure-__Jacobi.mp4 19.9 MB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/07_Week_2-_4.6_-_Targeted_searching_for_multiple_solutions-__eigenvalues_and_eigenfunctions.mp4 19.8 MB
13_Week_6_-_Lecture_16_-_Stability_analysis/03_Week_6-_16.2_-_Stability_of_forward_Euler_for_one-way_wave_equation.mp4 19.2 MB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/04_Week_2-_6.3_-_Nonlinear_boundary_value_problems.mp4 18.7 MB
10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/03_Week_5-_13.2_-_Computing_derivatives_with_the_FFT.mp4 18.4 MB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/01_Week_10-_29.1_-_Introduction_to_the_PDE_toolbox.mp4 17.6 MB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/03_Week_2-_4.2_-_Implementation_of_boundary_conditions.mp4 17.4 MB
18_Week_7_-_Lecture_21_-_Spectral_method_implementation/02_Week_7-_21.2_-_Setting_up_initial_conditions.mp4 17.3 MB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/02_Week_10-_30.2_-_Implementing_no-slip_boundaries.mp4 16.8 MB
10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/02_Week_5-_13.1_-_Implementing_the_Fourier_Transform.mp4 15.4 MB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/05_Week_2-_4.4_-_Code_exploration_for_strategic_searching.mp4 14.6 MB
07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/01_Week_4-_Lecture_Overview.mp4 12.6 MB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/03_Week_10-_29.3_-_Specifying_the_PDE.mp4 12.6 MB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/06_Week_10-_30.6_-_Wind_tunnel_on_the_iPad.mp4 11.8 MB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/05_Week_2-_5.4_-_Boundary_implementation.mp4 11.5 MB
10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/01_Week_5-_Lecture_Overview.mp4 10.8 MB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/01_Week_10-_Lecture_Overview.mp4 10.6 MB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/02_Week_10-_29.2_-_Implementing_boundary_conditions.mp4 9.8 MB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/05_Week_10-_29.5_-_Solving_the_PDE.mp4 9.7 MB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/04_Week_10-_29.4_-_Generating_a_mesh.mp4 9.5 MB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/01_Week_9-_Lecture_Overview.mp4 9.2 MB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/04_Week_10-_30.4_-_Meshing_and_solving_the_PDE.mp4 9.1 MB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/01_Week_2-_4.0_-_Lecture_4_Overview.mp4 9.0 MB
19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/01_Week_8-_Lecture_Overview.mp4 8.9 MB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/01_Week_7-_Lecture_Overview.mp4 8.3 MB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/01_Week_2-_6.0_-_Lecture_6_Overview.mp4 7.9 MB
04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/01_Week_3-_Lecture_Overview.mp4 7.9 MB
05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/04_Week_3-_8.4_-_Derivative_Matrices.mp4 7.7 MB
13_Week_6_-_Lecture_16_-_Stability_analysis/01_Week_6-_Lecture_Overview.mp4 7.6 MB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/01_Week_2-_5.0_-_Lecture_5_Overview.mp4 6.7 MB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/05_Week_10-_30.5_-_Rotating_the_internal_boundaries.mp4 6.5 MB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/03_Week_10-_30.3_-_Implementing_the_boundaries_away_from_wing.mp4 5.8 MB
19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/02_Week_8-_22.1_-_The_Chebychev_grid_and_differentiation.srt 28.7 KB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/03_Week_2-_6.2_-_Implementing_bvp4c_in_MATLAB.srt 27.5 KB
10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/04_Week_5-_13.3_-_Building_the_Laplace_derivative_matrix.srt 26.9 KB
04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/02_Week_3-_7.1_-_Shallow-fluids_and_Conservation_of_Mass.srt 26.5 KB
11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/01_Week_5-_14.1_-_Implementing_time-stepping_for_PDEs.srt 25.3 KB
05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/03_Week_3-_8.3_-_Building_the_Laplacian_Matrix.srt 24.9 KB
11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/03_Week_5-_14.3_-_MATLAB_and_the_2-D_heat_equation.srt 21.8 KB
14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/04_Week_6-_17.4_-_Higher-order_derivatives_and_numerical_stiffness.srt 21.7 KB
19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/04_Week_8-_22.3_-_Implementing_the_Chebychev_function.srt 21.0 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/04_Week_2-_4.3_-_Coding_the_boundary_value_problem.srt 20.9 KB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/05_Week_2-_6.4_-_Solving_nonlinear_problems_with_bvp4c.srt 20.8 KB
07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/03_Week_4-_10.2_-_Strict_diagonal_dominance.srt 20.7 KB
18_Week_7_-_Lecture_21_-_Spectral_method_implementation/04_Week_7-_21.4_-_Visualization_and_data_processing.srt 20.4 KB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/05_Week_7-_19.4_-_Cooley-Tukey_and_the_FFT_algorithm.srt 20.2 KB
20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/01_Week_8-_23.1_-_Filtering_for_removing_stiffness.srt 19.9 KB
15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/04_Week_6-_18.4_-_Violating_and_respecting_CFL_in_the_heat_equation.srt 19.9 KB
23_Week_9_-_Lecture_26_-_Finite_element_basis/01_Week_9-_26.1_-_The_finite_element_method.srt 19.4 KB
13_Week_6_-_Lecture_16_-_Stability_analysis/04_Week_6-_16.3_-_Von_Neumann_for_alternative_schemes_for_the_one-way_wave_equation.srt 19.3 KB
06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/04_Week_3-_9.4_-_The_Backslash_Command_in_MATLAB.srt 19.1 KB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/02_Week_10-_28.1_-_Wing_aerodynamics.srt 18.5 KB
09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/01_Week_4-_12.1_-_Singular_Poisson_matrix.srt 18.4 KB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/05_Week_9-_25.4_-_The_general_splitting_method-_the_Trotter_product_error.srt 17.7 KB
14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/01_Week_6-_17.1_-_Von_Neumann_analysis_for_the_heat_equation.srt 17.5 KB
19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/02_Week_8-_22.1_-_The_Chebychev_grid_and_differentiation.txt 17.3 KB
09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/02_Week_4-_12.2_-_Fixing_the_divide_by_zero_with_FFTs.srt 17.0 KB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/03_Week_2-_6.2_-_Implementing_bvp4c_in_MATLAB.txt 17.0 KB
09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/03_Week_4-_12.3_-_Matrices_for_the_advection-diffusion.srt 16.6 KB
04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/02_Week_3-_7.1_-_Shallow-fluids_and_Conservation_of_Mass.txt 16.5 KB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/03_Week_9-_25.2_-_The_nonlinear_Schrodinger_equation.srt 16.3 KB
18_Week_7_-_Lecture_21_-_Spectral_method_implementation/03_Week_7-_21.3_-_The_time-evolution_of_advection-diffusion.srt 16.2 KB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/05_Week_10-_28.4_-_No_slip_boundaries_on_airfoil.srt 16.1 KB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/02_Week_2-_5.1_-_Computing_derivatives_with_Taylor_series.srt 16.1 KB
10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/04_Week_5-_13.3_-_Building_the_Laplace_derivative_matrix.txt 16.1 KB
04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/03_Week_3-_7.2_-_The_Advection-Diffusion_Equations.srt 16.0 KB
19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/03_Week_8-_22.2_-_2D_Chebychev_differentiation_and_KRON.srt 15.9 KB
24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/01_Week_9-_27.1_-_Building_finite_element_matrices.srt 15.9 KB
13_Week_6_-_Lecture_16_-_Stability_analysis/05_Week_6-_16.4_-_leap-frog_schemes_for_one-way_equation.srt 15.8 KB
24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/04_Week_9-_27.4_-_Setting_up_Axb.srt 15.7 KB
11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/01_Week_5-_14.1_-_Implementing_time-stepping_for_PDEs.txt 15.4 KB
05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/03_Week_3-_8.3_-_Building_the_Laplacian_Matrix.txt 15.3 KB
20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/02_Week_8-_23.2_-_The_integrating_factor_for_PDEs.srt 15.3 KB
15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/01_Week_6-_18.1_-_Implementing_time-stepping_algorithms_and_the_CFL_condition.srt 15.2 KB
05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/01_Week_3-_8.1_-_Algorithms_for_Solving_the_Advection-Diffusion_Equation.srt 15.1 KB
15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/02_Week_6-_18.2_-_Implementing_time-stepping_for_the_one-way_wave_equation.srt 14.9 KB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/03_Week_7-_19.2_-_Fourier_mode_expansions.srt 14.9 KB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/05_Week_8-_24.5_-_Implementing_the_Chebychev_matrix.srt 14.9 KB
17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/04_Week_7-_20.4_-_Domain_discretization_with_Chebychev.srt 14.8 KB
14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/02_Week_6-_17.2_-_leap-frog_for_the_wave_equation.srt 14.4 KB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/01_Week_10-_29.1_-_Introduction_to_the_PDE_toolbox.srt 14.1 KB
06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/02_Week_3-_9.2_-_The_LU_Decomposition.srt 14.0 KB
17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/02_Week_7-_20.2_-_The_Chebychev_transform.srt 14.0 KB
11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/02_Week_5-_14.2_-_MATLAB_and_the_1-D_heat_equation.srt 13.9 KB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/02_Week_7-_19.1_-_Introduction_to_spectral_methods.srt 13.8 KB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/03_Week_2-_5.2_-_Second_derivatives_and_forward-_and_backward_differences.srt 13.7 KB
08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/03_Week_4-_11.3_-_FFT_facts.srt 13.7 KB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/02_Week_8-_24.2_-_Polynomial_approximations.srt 13.6 KB
15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/03_Week_6-_18.3_-_Violating_and_respecting_CFL_in_the_one-way_wave_equation.srt 13.5 KB
14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/04_Week_6-_17.4_-_Higher-order_derivatives_and_numerical_stiffness.txt 13.5 KB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/01_Week_8-_24.1_-_Boundary_conditions_of_spectral_methods.srt 13.3 KB
11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/03_Week_5-_14.3_-_MATLAB_and_the_2-D_heat_equation.txt 13.2 KB
06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/03_Week_3-_9.3_-_Factoring_a_Matrix.srt 13.2 KB
18_Week_7_-_Lecture_21_-_Spectral_method_implementation/01_Week_7-_21.1_-_Programming_the_Advection-Diffusion_Equations.srt 13.2 KB
23_Week_9_-_Lecture_26_-_Finite_element_basis/02_Week_9-_26.2_-_Triangularing_the_computational_domain.srt 13.0 KB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/04_Week_10-_28.3_-_Boundary_conditions.srt 12.9 KB
23_Week_9_-_Lecture_26_-_Finite_element_basis/04_Week_9-_26.4_-_2D_Lagrange_polynomials.srt 12.9 KB
10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/03_Week_5-_13.2_-_Computing_derivatives_with_the_FFT.srt 12.9 KB
24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/03_Week_9-_27.3_-_Implementing_the_finite_elements.srt 12.8 KB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/05_Week_2-_6.4_-_Solving_nonlinear_problems_with_bvp4c.txt 12.8 KB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/06_Week_10-_29.6_-_A_second_example_with_interior_domains.srt 12.8 KB
17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/01_Week_7-_20.1_-_Spectral_methods_more_broadly_viewed.srt 12.7 KB
05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/02_Week_3-_8.2_-_Discretizing_the_Laplacian.srt 12.7 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/04_Week_2-_4.3_-_Coding_the_boundary_value_problem.txt 12.7 KB
24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/02_Week_9-_27.2_-_The_variational_reduction_of_the_PDE.srt 12.6 KB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/01_Week_5-_15.1_-_Discretizing_the_one-way_wave_equation.srt 12.6 KB
07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/03_Week_4-_10.2_-_Strict_diagonal_dominance.txt 12.5 KB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/04_Week_8-_24.4_-_Building_the_Chebycheve_derivative_matrix.srt 12.4 KB
08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/02_Week_4-_11.2_-_Derivative_relations.srt 12.3 KB
19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/04_Week_8-_22.3_-_Implementing_the_Chebychev_function.txt 12.3 KB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/05_Week_7-_19.4_-_Cooley-Tukey_and_the_FFT_algorithm.txt 12.3 KB
15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/04_Week_6-_18.4_-_Violating_and_respecting_CFL_in_the_heat_equation.txt 12.2 KB
18_Week_7_-_Lecture_21_-_Spectral_method_implementation/02_Week_7-_21.2_-_Setting_up_initial_conditions.srt 12.2 KB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/05_Week_5-_15.5_-_Predictor-corrector_techniques.srt 12.2 KB
08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/04_Week_4-_11.4_-_The_Fast_Poisson_Solver.srt 12.2 KB
18_Week_7_-_Lecture_21_-_Spectral_method_implementation/04_Week_7-_21.4_-_Visualization_and_data_processing.txt 12.1 KB
13_Week_6_-_Lecture_16_-_Stability_analysis/02_Week_6-_16.1_-_Von_Neumann_analysis_for_stability.srt 12.0 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/06_Week_2-_4.5_-_Multiple_solutions_and_eigenvalues.srt 12.0 KB
07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/04_Week_4-_10.3_-_Gauss-Seidel_iterations.srt 11.9 KB
23_Week_9_-_Lecture_26_-_Finite_element_basis/01_Week_9-_26.1_-_The_finite_element_method.txt 11.9 KB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/03_Week_8-_24.3_-_Chebychev_points_and_polynomials.srt 11.9 KB
20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/01_Week_8-_23.1_-_Filtering_for_removing_stiffness.txt 11.9 KB
06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/04_Week_3-_9.4_-_The_Backslash_Command_in_MATLAB.txt 11.7 KB
13_Week_6_-_Lecture_16_-_Stability_analysis/04_Week_6-_16.3_-_Von_Neumann_for_alternative_schemes_for_the_one-way_wave_equation.txt 11.7 KB
14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/03_Week_6-_17.3_-_Higher-order_PDEs_and_stability.srt 11.7 KB
20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/04_Week_8-_23.4_-_More_comparisons.srt 11.7 KB
17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/03_Week_7-_20.3_-_The_Chebychev_basis_functions.srt 11.6 KB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/06_Week_2-_5.5_-_Nonlinear_boundary_value_problems.srt 11.6 KB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/02_Week_5-_15.2_-_The_CFL_number_and_stability.srt 11.6 KB
09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/01_Week_4-_12.1_-_Singular_Poisson_matrix.txt 11.5 KB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/04_Week_2-_5.3_-_Boundary_value_problems_and_Axb.srt 11.5 KB
23_Week_9_-_Lecture_26_-_Finite_element_basis/03_Week_9-_26.3_-_Lagrange_polynomials.srt 11.3 KB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/01_Week_10-_30.1_-_Flow_over_an_airfoil.srt 11.3 KB
04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/04_Week_3-_7.3_-_Solution_Techniques_and_Characteristics_of_Advection-Diffusion.srt 11.3 KB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/02_Week_9-_25.1_-_Operator_splitting-_linear_and_nonlinear_terms.srt 11.2 KB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/02_Week_10-_28.1_-_Wing_aerodynamics.txt 11.2 KB
20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/03_Week_8-_23.3_-_Comparison_of_coding_techniques.srt 11.2 KB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/04_Week_5-_15.4_-_Implicit_numerical_schemes.srt 11.0 KB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/03_Week_5-_15.3_-_Higher-accuracy_derivatives_and_schemes.srt 10.8 KB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/05_Week_9-_25.4_-_The_general_splitting_method-_the_Trotter_product_error.txt 10.7 KB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/03_Week_10-_29.3_-_Specifying_the_PDE.srt 10.7 KB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/02_Week_10-_30.2_-_Implementing_no-slip_boundaries.srt 10.6 KB
14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/01_Week_6-_17.1_-_Von_Neumann_analysis_for_the_heat_equation.txt 10.5 KB
09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/02_Week_4-_12.2_-_Fixing_the_divide_by_zero_with_FFTs.txt 10.5 KB
10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/02_Week_5-_13.1_-_Implementing_the_Fourier_Transform.srt 10.4 KB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/04_Week_7-_19.3_-_Modal_structures_for_cosine-sine_transforms.srt 10.3 KB
09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/03_Week_4-_12.3_-_Matrices_for_the_advection-diffusion.txt 10.2 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/02_Week_2-_4.1_-Converting_to_first-order_systems.srt 10.1 KB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/03_Week_9-_25.2_-_The_nonlinear_Schrodinger_equation.txt 10.0 KB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/05_Week_10-_28.4_-_No_slip_boundaries_on_airfoil.txt 9.9 KB
18_Week_7_-_Lecture_21_-_Spectral_method_implementation/03_Week_7-_21.3_-_The_time-evolution_of_advection-diffusion.txt 9.9 KB
04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/03_Week_3-_7.2_-_The_Advection-Diffusion_Equations.txt 9.8 KB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/03_Week_10-_28.2_-_Advection-diffusion_equations.srt 9.8 KB
24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/01_Week_9-_27.1_-_Building_finite_element_matrices.txt 9.8 KB
06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/01_Week_3-_9.1_-_Linear_Systems_of_Equations.srt 9.8 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/07_Week_2-_4.6_-_Targeted_searching_for_multiple_solutions-__eigenvalues_and_eigenfunctions.srt 9.7 KB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/02_Week_2-_5.1_-_Computing_derivatives_with_Taylor_series.txt 9.7 KB
19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/03_Week_8-_22.2_-_2D_Chebychev_differentiation_and_KRON.txt 9.7 KB
13_Week_6_-_Lecture_16_-_Stability_analysis/05_Week_6-_16.4_-_leap-frog_schemes_for_one-way_equation.txt 9.6 KB
24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/04_Week_9-_27.4_-_Setting_up_Axb.txt 9.5 KB
05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/01_Week_3-_8.1_-_Algorithms_for_Solving_the_Advection-Diffusion_Equation.txt 9.4 KB
20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/02_Week_8-_23.2_-_The_integrating_factor_for_PDEs.txt 9.4 KB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/05_Week_8-_24.5_-_Implementing_the_Chebychev_matrix.txt 9.4 KB
15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/01_Week_6-_18.1_-_Implementing_time-stepping_algorithms_and_the_CFL_condition.txt 9.3 KB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/04_Week_9-_25.3_-_Algorithm_for_split_stepping.srt 9.3 KB
15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/02_Week_6-_18.2_-_Implementing_time-stepping_for_the_one-way_wave_equation.txt 9.2 KB
17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/04_Week_7-_20.4_-_Domain_discretization_with_Chebychev.txt 9.1 KB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/03_Week_7-_19.2_-_Fourier_mode_expansions.txt 9.0 KB
06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/02_Week_3-_9.2_-_The_LU_Decomposition.txt 8.9 KB
14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/02_Week_6-_17.2_-_leap-frog_for_the_wave_equation.txt 8.9 KB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/02_Week_2-_6.1_-_Setting_up_boundary_value_problems_in_MATLAB.srt 8.9 KB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/02_Week_10-_29.2_-_Implementing_boundary_conditions.srt 8.8 KB
08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/03_Week_4-_11.3_-_FFT_facts.txt 8.6 KB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/02_Week_7-_19.1_-_Introduction_to_spectral_methods.txt 8.6 KB
17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/02_Week_7-_20.2_-_The_Chebychev_transform.txt 8.6 KB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/01_Week_10-_29.1_-_Introduction_to_the_PDE_toolbox.txt 8.5 KB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/03_Week_2-_5.2_-_Second_derivatives_and_forward-_and_backward_differences.txt 8.4 KB
15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/03_Week_6-_18.3_-_Violating_and_respecting_CFL_in_the_one-way_wave_equation.txt 8.3 KB
11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/02_Week_5-_14.2_-_MATLAB_and_the_1-D_heat_equation.txt 8.2 KB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/01_Week_8-_24.1_-_Boundary_conditions_of_spectral_methods.txt 8.2 KB
18_Week_7_-_Lecture_21_-_Spectral_method_implementation/01_Week_7-_21.1_-_Programming_the_Advection-Diffusion_Equations.txt 8.1 KB
06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/03_Week_3-_9.3_-_Factoring_a_Matrix.txt 8.1 KB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/02_Week_8-_24.2_-_Polynomial_approximations.txt 8.1 KB
23_Week_9_-_Lecture_26_-_Finite_element_basis/02_Week_9-_26.2_-_Triangularing_the_computational_domain.txt 8.0 KB
17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/01_Week_7-_20.1_-_Spectral_methods_more_broadly_viewed.txt 8.0 KB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/01_Week_5-_15.1_-_Discretizing_the_one-way_wave_equation.txt 8.0 KB
05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/02_Week_3-_8.2_-_Discretizing_the_Laplacian.txt 7.9 KB
08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/01_Week_4-_11.1_-_The_Fast_Fourier_Transform.srt 7.9 KB
23_Week_9_-_Lecture_26_-_Finite_element_basis/04_Week_9-_26.4_-_2D_Lagrange_polynomials.txt 7.9 KB
07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/02_Week_4-_10.1_-_A_basic_iteration_procedure-__Jacobi.srt 7.8 KB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/06_Week_10-_30.6_-_Wind_tunnel_on_the_iPad.srt 7.8 KB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/04_Week_10-_28.3_-_Boundary_conditions.txt 7.8 KB
10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/03_Week_5-_13.2_-_Computing_derivatives_with_the_FFT.txt 7.8 KB
13_Week_6_-_Lecture_16_-_Stability_analysis/03_Week_6-_16.2_-_Stability_of_forward_Euler_for_one-way_wave_equation.srt 7.7 KB
24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/03_Week_9-_27.3_-_Implementing_the_finite_elements.txt 7.7 KB
08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/02_Week_4-_11.2_-_Derivative_relations.txt 7.6 KB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/04_Week_8-_24.4_-_Building_the_Chebycheve_derivative_matrix.txt 7.6 KB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/05_Week_5-_15.5_-_Predictor-corrector_techniques.txt 7.6 KB
24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/02_Week_9-_27.2_-_The_variational_reduction_of_the_PDE.txt 7.6 KB
18_Week_7_-_Lecture_21_-_Spectral_method_implementation/02_Week_7-_21.2_-_Setting_up_initial_conditions.txt 7.6 KB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/06_Week_10-_29.6_-_A_second_example_with_interior_domains.txt 7.5 KB
21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/03_Week_8-_24.3_-_Chebychev_points_and_polynomials.txt 7.4 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/05_Week_2-_4.4_-_Code_exploration_for_strategic_searching.srt 7.4 KB
08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/04_Week_4-_11.4_-_The_Fast_Poisson_Solver.txt 7.4 KB
07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/04_Week_4-_10.3_-_Gauss-Seidel_iterations.txt 7.3 KB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/06_Week_2-_5.5_-_Nonlinear_boundary_value_problems.txt 7.3 KB
13_Week_6_-_Lecture_16_-_Stability_analysis/02_Week_6-_16.1_-_Von_Neumann_analysis_for_stability.txt 7.3 KB
14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/03_Week_6-_17.3_-_Higher-order_PDEs_and_stability.txt 7.3 KB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/04_Week_2-_6.3_-_Nonlinear_boundary_value_problems.srt 7.3 KB
04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/04_Week_3-_7.3_-_Solution_Techniques_and_Characteristics_of_Advection-Diffusion.txt 7.2 KB
17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/03_Week_7-_20.3_-_The_Chebychev_basis_functions.txt 7.2 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/06_Week_2-_4.5_-_Multiple_solutions_and_eigenvalues.txt 7.1 KB
20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/04_Week_8-_23.4_-_More_comparisons.txt 7.1 KB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/04_Week_7-_19.3_-_Modal_structures_for_cosine-sine_transforms.txt 7.1 KB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/02_Week_5-_15.2_-_The_CFL_number_and_stability.txt 7.1 KB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/04_Week_2-_5.3_-_Boundary_value_problems_and_Axb.txt 7.0 KB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/01_Week_10-_30.1_-_Flow_over_an_airfoil.txt 6.9 KB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/02_Week_9-_25.1_-_Operator_splitting-_linear_and_nonlinear_terms.txt 6.9 KB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/04_Week_5-_15.4_-_Implicit_numerical_schemes.txt 6.8 KB
23_Week_9_-_Lecture_26_-_Finite_element_basis/03_Week_9-_26.3_-_Lagrange_polynomials.txt 6.8 KB
12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/03_Week_5-_15.3_-_Higher-accuracy_derivatives_and_schemes.txt 6.8 KB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/04_Week_10-_30.4_-_Meshing_and_solving_the_PDE.srt 6.8 KB
20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/03_Week_8-_23.3_-_Comparison_of_coding_techniques.txt 6.7 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/03_Week_2-_4.2_-_Implementation_of_boundary_conditions.srt 6.7 KB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/02_Week_10-_30.2_-_Implementing_no-slip_boundaries.txt 6.6 KB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/03_Week_10-_29.3_-_Specifying_the_PDE.txt 6.5 KB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/04_Week_10-_29.4_-_Generating_a_mesh.srt 6.4 KB
10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/02_Week_5-_13.1_-_Implementing_the_Fourier_Transform.txt 6.4 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/02_Week_2-_4.1_-Converting_to_first-order_systems.txt 6.1 KB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/03_Week_10-_28.2_-_Advection-diffusion_equations.txt 6.0 KB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/05_Week_10-_29.5_-_Solving_the_PDE.srt 6.0 KB
06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/01_Week_3-_9.1_-_Linear_Systems_of_Equations.txt 6.0 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/07_Week_2-_4.6_-_Targeted_searching_for_multiple_solutions-__eigenvalues_and_eigenfunctions.txt 5.9 KB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/04_Week_9-_25.3_-_Algorithm_for_split_stepping.txt 5.7 KB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/02_Week_2-_6.1_-_Setting_up_boundary_value_problems_in_MATLAB.txt 5.5 KB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/02_Week_10-_29.2_-_Implementing_boundary_conditions.txt 5.4 KB
08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/01_Week_4-_11.1_-_The_Fast_Fourier_Transform.txt 5.1 KB
07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/02_Week_4-_10.1_-_A_basic_iteration_procedure-__Jacobi.txt 4.8 KB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/03_Week_10-_30.3_-_Implementing_the_boundaries_away_from_wing.srt 4.8 KB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/06_Week_10-_30.6_-_Wind_tunnel_on_the_iPad.txt 4.7 KB
13_Week_6_-_Lecture_16_-_Stability_analysis/03_Week_6-_16.2_-_Stability_of_forward_Euler_for_one-way_wave_equation.txt 4.7 KB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/05_Week_10-_30.5_-_Rotating_the_internal_boundaries.srt 4.7 KB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/04_Week_2-_6.3_-_Nonlinear_boundary_value_problems.txt 4.4 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/05_Week_2-_4.4_-_Code_exploration_for_strategic_searching.txt 4.4 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/03_Week_2-_4.2_-_Implementation_of_boundary_conditions.txt 4.2 KB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/05_Week_2-_5.4_-_Boundary_implementation.srt 4.2 KB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/04_Week_10-_30.4_-_Meshing_and_solving_the_PDE.txt 4.1 KB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/04_Week_10-_29.4_-_Generating_a_mesh.txt 3.9 KB
26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/05_Week_10-_29.5_-_Solving_the_PDE.txt 3.5 KB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/03_Week_10-_30.3_-_Implementing_the_boundaries_away_from_wing.txt 2.9 KB
05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/04_Week_3-_8.4_-_Derivative_Matrices.srt 2.7 KB
07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/01_Week_4-_Lecture_Overview.srt 2.6 KB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/05_Week_2-_5.4_-_Boundary_implementation.txt 2.6 KB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/01_Week_10-_Lecture_Overview.srt 2.6 KB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/01_Week_9-_Lecture_Overview.srt 2.4 KB
27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/05_Week_10-_30.5_-_Rotating_the_internal_boundaries.txt 2.4 KB
10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/01_Week_5-_Lecture_Overview.srt 2.4 KB
19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/01_Week_8-_Lecture_Overview.srt 2.2 KB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/01_Week_7-_Lecture_Overview.srt 2.1 KB
04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/01_Week_3-_Lecture_Overview.srt 1.9 KB
13_Week_6_-_Lecture_16_-_Stability_analysis/01_Week_6-_Lecture_Overview.srt 1.9 KB
05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/04_Week_3-_8.4_-_Derivative_Matrices.txt 1.8 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/01_Week_2-_4.0_-_Lecture_4_Overview.srt 1.7 KB
07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/01_Week_4-_Lecture_Overview.txt 1.7 KB
25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/01_Week_10-_Lecture_Overview.txt 1.7 KB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/01_Week_2-_6.0_-_Lecture_6_Overview.srt 1.7 KB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/01_Week_2-_5.0_-_Lecture_5_Overview.srt 1.6 KB
22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/01_Week_9-_Lecture_Overview.txt 1.6 KB
10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/01_Week_5-_Lecture_Overview.txt 1.5 KB
19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/01_Week_8-_Lecture_Overview.txt 1.4 KB
16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/01_Week_7-_Lecture_Overview.txt 1.4 KB
04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/01_Week_3-_Lecture_Overview.txt 1.3 KB
13_Week_6_-_Lecture_16_-_Stability_analysis/01_Week_6-_Lecture_Overview.txt 1.3 KB
01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/01_Week_2-_4.0_-_Lecture_4_Overview.txt 1.2 KB
03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/01_Week_2-_6.0_-_Lecture_6_Overview.txt 1.1 KB
02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/01_Week_2-_5.0_-_Lecture_5_Overview.txt 1.1 KB

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