Coursera Scientific Computing by Nathan Kutz

1. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/01_Week_2-_4.0_-_Lecture_4_Overview.mp48.96MB
2. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/02_Week_2-_4.1_-Converting_to_first-order_systems.mp424.32MB
3. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/03_Week_2-_4.2_-_Implementation_of_boundary_conditions.mp417.39MB
4. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/04_Week_2-_4.3_-_Coding_the_boundary_value_problem.mp442.38MB
5. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/05_Week_2-_4.4_-_Code_exploration_for_strategic_searching.mp414.63MB
6. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/06_Week_2-_4.5_-_Multiple_solutions_and_eigenvalues.mp422.26MB
7. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/07_Week_2-_4.6_-_Targeted_searching_for_multiple_solutions-__eigenvalues_and_eigenfunctions.mp419.77MB
8. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/01_Week_2-_5.0_-_Lecture_5_Overview.mp46.72MB
9. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/02_Week_2-_5.1_-_Computing_derivatives_with_Taylor_series.mp435.1MB
10. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/03_Week_2-_5.2_-_Second_derivatives_and_forward-_and_backward_differences.mp432.77MB
11. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/04_Week_2-_5.3_-_Boundary_value_problems_and_Axb.mp428.93MB
12. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/05_Week_2-_5.4_-_Boundary_implementation.mp411.53MB
13. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/06_Week_2-_5.5_-_Nonlinear_boundary_value_problems.mp426.26MB
14. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/01_Week_2-_6.0_-_Lecture_6_Overview.mp47.92MB
15. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/02_Week_2-_6.1_-_Setting_up_boundary_value_problems_in_MATLAB.mp422.76MB
16. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/03_Week_2-_6.2_-_Implementing_bvp4c_in_MATLAB.mp441.57MB
17. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/04_Week_2-_6.3_-_Nonlinear_boundary_value_problems.mp418.71MB
18. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/05_Week_2-_6.4_-_Solving_nonlinear_problems_with_bvp4c.mp433.7MB
19. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/01_Week_3-_Lecture_Overview.mp47.9MB
20. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/02_Week_3-_7.1_-_Shallow-fluids_and_Conservation_of_Mass.mp463.46MB
21. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/03_Week_3-_7.2_-_The_Advection-Diffusion_Equations.mp437.11MB
22. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/04_Week_3-_7.3_-_Solution_Techniques_and_Characteristics_of_Advection-Diffusion.mp423.09MB
23. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/01_Week_3-_8.1_-_Algorithms_for_Solving_the_Advection-Diffusion_Equation.mp436.82MB
24. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/02_Week_3-_8.2_-_Discretizing_the_Laplacian.mp432.92MB
25. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/03_Week_3-_8.3_-_Building_the_Laplacian_Matrix.mp463.19MB
26. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/04_Week_3-_8.4_-_Derivative_Matrices.mp47.7MB
27. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/01_Week_3-_9.1_-_Linear_Systems_of_Equations.mp424MB
28. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/02_Week_3-_9.2_-_The_LU_Decomposition.mp436.2MB
29. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/03_Week_3-_9.3_-_Factoring_a_Matrix.mp432.84MB
30. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/04_Week_3-_9.4_-_The_Backslash_Command_in_MATLAB.mp446.28MB
31. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/01_Week_4-_Lecture_Overview.mp412.62MB
32. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/02_Week_4-_10.1_-_A_basic_iteration_procedure-__Jacobi.mp419.91MB
33. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/03_Week_4-_10.2_-_Strict_diagonal_dominance.mp456.1MB
34. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/04_Week_4-_10.3_-_Gauss-Seidel_iterations.mp427.4MB
35. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/01_Week_4-_11.1_-_The_Fast_Fourier_Transform.mp420.45MB
36. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/02_Week_4-_11.2_-_Derivative_relations.mp426.9MB
37. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/03_Week_4-_11.3_-_FFT_facts.mp429.43MB
38. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/04_Week_4-_11.4_-_The_Fast_Poisson_Solver.mp432.48MB
39. 09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/01_Week_4-_12.1_-_Singular_Poisson_matrix.mp435.86MB
40. 09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/02_Week_4-_12.2_-_Fixing_the_divide_by_zero_with_FFTs.mp435.91MB
41. 09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/03_Week_4-_12.3_-_Matrices_for_the_advection-diffusion.mp438.08MB
42. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/01_Week_5-_Lecture_Overview.mp410.79MB
43. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/02_Week_5-_13.1_-_Implementing_the_Fourier_Transform.mp415.39MB
44. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/03_Week_5-_13.2_-_Computing_derivatives_with_the_FFT.mp418.36MB
45. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/04_Week_5-_13.3_-_Building_the_Laplace_derivative_matrix.mp443.36MB
46. 11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/01_Week_5-_14.1_-_Implementing_time-stepping_for_PDEs.mp448.82MB
47. 11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/02_Week_5-_14.2_-_MATLAB_and_the_1-D_heat_equation.mp428.63MB
48. 11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/03_Week_5-_14.3_-_MATLAB_and_the_2-D_heat_equation.mp449.85MB
49. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/01_Week_5-_15.1_-_Discretizing_the_one-way_wave_equation.mp425.89MB
50. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/02_Week_5-_15.2_-_The_CFL_number_and_stability.mp423.27MB
51. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/03_Week_5-_15.3_-_Higher-accuracy_derivatives_and_schemes.mp424.36MB
52. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/04_Week_5-_15.4_-_Implicit_numerical_schemes.mp424.1MB
53. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/05_Week_5-_15.5_-_Predictor-corrector_techniques.mp426.4MB
54. 13_Week_6_-_Lecture_16_-_Stability_analysis/01_Week_6-_Lecture_Overview.mp47.57MB
55. 13_Week_6_-_Lecture_16_-_Stability_analysis/02_Week_6-_16.1_-_Von_Neumann_analysis_for_stability.mp424.69MB
56. 13_Week_6_-_Lecture_16_-_Stability_analysis/03_Week_6-_16.2_-_Stability_of_forward_Euler_for_one-way_wave_equation.mp419.17MB
57. 13_Week_6_-_Lecture_16_-_Stability_analysis/04_Week_6-_16.3_-_Von_Neumann_for_alternative_schemes_for_the_one-way_wave_equation.mp443.91MB
58. 13_Week_6_-_Lecture_16_-_Stability_analysis/05_Week_6-_16.4_-_leap-frog_schemes_for_one-way_equation.mp433.38MB
59. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/01_Week_6-_17.1_-_Von_Neumann_analysis_for_the_heat_equation.mp435.69MB
60. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/02_Week_6-_17.2_-_leap-frog_for_the_wave_equation.mp428.34MB
61. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/03_Week_6-_17.3_-_Higher-order_PDEs_and_stability.mp425.71MB
62. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/04_Week_6-_17.4_-_Higher-order_derivatives_and_numerical_stiffness.mp439.42MB
63. 15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/01_Week_6-_18.1_-_Implementing_time-stepping_algorithms_and_the_CFL_condition.mp428.1MB
64. 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.mp422.32MB
65. 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.mp420.5MB
66. 15_Week_6_-_Lecture_18_-_Optimizing_computational_performance_rules_of_thumb/04_Week_6-_18.4_-_Violating_and_respecting_CFL_in_the_heat_equation.mp433.13MB
67. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/01_Week_7-_Lecture_Overview.mp48.27MB
68. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/02_Week_7-_19.1_-_Introduction_to_spectral_methods.mp431.14MB
69. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/03_Week_7-_19.2_-_Fourier_mode_expansions.mp431.25MB
70. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/04_Week_7-_19.3_-_Modal_structures_for_cosine-sine_transforms.mp424.88MB
71. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/05_Week_7-_19.4_-_Cooley-Tukey_and_the_FFT_algorithm.mp451.38MB
72. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/01_Week_7-_20.1_-_Spectral_methods_more_broadly_viewed.mp428.69MB
73. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/02_Week_7-_20.2_-_The_Chebychev_transform.mp434.69MB
74. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/03_Week_7-_20.3_-_The_Chebychev_basis_functions.mp428.52MB
75. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/04_Week_7-_20.4_-_Domain_discretization_with_Chebychev.mp436.07MB
76. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/01_Week_7-_21.1_-_Programming_the_Advection-Diffusion_Equations.mp431.96MB
77. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/02_Week_7-_21.2_-_Setting_up_initial_conditions.mp417.27MB
78. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/03_Week_7-_21.3_-_The_time-evolution_of_advection-diffusion.mp422.15MB
79. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/04_Week_7-_21.4_-_Visualization_and_data_processing.mp431.88MB
80. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/01_Week_8-_Lecture_Overview.mp48.86MB
81. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/02_Week_8-_22.1_-_The_Chebychev_grid_and_differentiation.mp447.67MB
82. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/03_Week_8-_22.2_-_2D_Chebychev_differentiation_and_KRON.mp425.66MB
83. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/04_Week_8-_22.3_-_Implementing_the_Chebychev_function.mp435.19MB
84. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/01_Week_8-_23.1_-_Filtering_for_removing_stiffness.mp446.23MB
85. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/02_Week_8-_23.2_-_The_integrating_factor_for_PDEs.mp434.49MB
86. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/03_Week_8-_23.3_-_Comparison_of_coding_techniques.mp423.27MB
87. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/04_Week_8-_23.4_-_More_comparisons.mp429.79MB
88. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/01_Week_8-_24.1_-_Boundary_conditions_of_spectral_methods.mp427.6MB
89. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/02_Week_8-_24.2_-_Polynomial_approximations.mp429.64MB
90. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/03_Week_8-_24.3_-_Chebychev_points_and_polynomials.mp424.16MB
91. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/04_Week_8-_24.4_-_Building_the_Chebycheve_derivative_matrix.mp431.11MB
92. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/05_Week_8-_24.5_-_Implementing_the_Chebychev_matrix.mp429.33MB
93. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/01_Week_9-_Lecture_Overview.mp49.23MB
94. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/02_Week_9-_25.1_-_Operator_splitting-_linear_and_nonlinear_terms.mp426.08MB
95. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/03_Week_9-_25.2_-_The_nonlinear_Schrodinger_equation.mp434.52MB
96. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/04_Week_9-_25.3_-_Algorithm_for_split_stepping.mp420.8MB
97. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/05_Week_9-_25.4_-_The_general_splitting_method-_the_Trotter_product_error.mp439.04MB
98. 23_Week_9_-_Lecture_26_-_Finite_element_basis/01_Week_9-_26.1_-_The_finite_element_method.mp438.57MB
99. 23_Week_9_-_Lecture_26_-_Finite_element_basis/02_Week_9-_26.2_-_Triangularing_the_computational_domain.mp427.49MB
100. 23_Week_9_-_Lecture_26_-_Finite_element_basis/03_Week_9-_26.3_-_Lagrange_polynomials.mp427.14MB
101. 23_Week_9_-_Lecture_26_-_Finite_element_basis/04_Week_9-_26.4_-_2D_Lagrange_polynomials.mp429.09MB
102. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/01_Week_9-_27.1_-_Building_finite_element_matrices.mp434.15MB
103. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/02_Week_9-_27.2_-_The_variational_reduction_of_the_PDE.mp428.19MB
104. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/03_Week_9-_27.3_-_Implementing_the_finite_elements.mp429.16MB
105. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/04_Week_9-_27.4_-_Setting_up_Axb.mp434.2MB
106. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/01_Week_10-_Lecture_Overview.mp410.62MB
107. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/02_Week_10-_28.1_-_Wing_aerodynamics.mp438.18MB
108. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/03_Week_10-_28.2_-_Advection-diffusion_equations.mp424.78MB
109. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/04_Week_10-_28.3_-_Boundary_conditions.mp426.77MB
110. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/05_Week_10-_28.4_-_No_slip_boundaries_on_airfoil.mp430.72MB
111. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/01_Week_10-_29.1_-_Introduction_to_the_PDE_toolbox.mp417.61MB
112. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/02_Week_10-_29.2_-_Implementing_boundary_conditions.mp49.79MB
113. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/03_Week_10-_29.3_-_Specifying_the_PDE.mp412.56MB
114. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/04_Week_10-_29.4_-_Generating_a_mesh.mp49.45MB
115. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/05_Week_10-_29.5_-_Solving_the_PDE.mp49.74MB
116. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/06_Week_10-_29.6_-_A_second_example_with_interior_domains.mp421.45MB
117. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/01_Week_10-_30.1_-_Flow_over_an_airfoil.mp421.77MB
118. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/02_Week_10-_30.2_-_Implementing_no-slip_boundaries.mp416.85MB
119. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/03_Week_10-_30.3_-_Implementing_the_boundaries_away_from_wing.mp45.85MB
120. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/04_Week_10-_30.4_-_Meshing_and_solving_the_PDE.mp49.08MB
121. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/05_Week_10-_30.5_-_Rotating_the_internal_boundaries.mp46.5MB
122. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/06_Week_10-_30.6_-_Wind_tunnel_on_the_iPad.mp411.82MB