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[Coursera] Scientific Computing by Nathan Kutz

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文件列表

  1. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/02_Week_3-_7.1_-_Shallow-fluids_and_Conservation_of_Mass.mp4 63MB
  2. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/03_Week_3-_8.3_-_Building_the_Laplacian_Matrix.mp4 63MB
  3. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/03_Week_4-_10.2_-_Strict_diagonal_dominance.mp4 56MB
  4. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/05_Week_7-_19.4_-_Cooley-Tukey_and_the_FFT_algorithm.mp4 51MB
  5. 11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/03_Week_5-_14.3_-_MATLAB_and_the_2-D_heat_equation.mp4 50MB
  6. 11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/01_Week_5-_14.1_-_Implementing_time-stepping_for_PDEs.mp4 49MB
  7. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/02_Week_8-_22.1_-_The_Chebychev_grid_and_differentiation.mp4 48MB
  8. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/04_Week_3-_9.4_-_The_Backslash_Command_in_MATLAB.mp4 46MB
  9. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/01_Week_8-_23.1_-_Filtering_for_removing_stiffness.mp4 46MB
  10. 13_Week_6_-_Lecture_16_-_Stability_analysis/04_Week_6-_16.3_-_Von_Neumann_for_alternative_schemes_for_the_one-way_wave_equation.mp4 44MB
  11. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/04_Week_5-_13.3_-_Building_the_Laplace_derivative_matrix.mp4 43MB
  12. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/04_Week_2-_4.3_-_Coding_the_boundary_value_problem.mp4 42MB
  13. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/03_Week_2-_6.2_-_Implementing_bvp4c_in_MATLAB.mp4 42MB
  14. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/04_Week_6-_17.4_-_Higher-order_derivatives_and_numerical_stiffness.mp4 39MB
  15. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/05_Week_9-_25.4_-_The_general_splitting_method-_the_Trotter_product_error.mp4 39MB
  16. 23_Week_9_-_Lecture_26_-_Finite_element_basis/01_Week_9-_26.1_-_The_finite_element_method.mp4 39MB
  17. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/02_Week_10-_28.1_-_Wing_aerodynamics.mp4 38MB
  18. 09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/03_Week_4-_12.3_-_Matrices_for_the_advection-diffusion.mp4 38MB
  19. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/03_Week_3-_7.2_-_The_Advection-Diffusion_Equations.mp4 37MB
  20. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/01_Week_3-_8.1_-_Algorithms_for_Solving_the_Advection-Diffusion_Equation.mp4 37MB
  21. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/02_Week_3-_9.2_-_The_LU_Decomposition.mp4 36MB
  22. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/04_Week_7-_20.4_-_Domain_discretization_with_Chebychev.mp4 36MB
  23. 09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/02_Week_4-_12.2_-_Fixing_the_divide_by_zero_with_FFTs.mp4 36MB
  24. 09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/01_Week_4-_12.1_-_Singular_Poisson_matrix.mp4 36MB
  25. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/01_Week_6-_17.1_-_Von_Neumann_analysis_for_the_heat_equation.mp4 36MB
  26. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/04_Week_8-_22.3_-_Implementing_the_Chebychev_function.mp4 35MB
  27. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/02_Week_2-_5.1_-_Computing_derivatives_with_Taylor_series.mp4 35MB
  28. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/02_Week_7-_20.2_-_The_Chebychev_transform.mp4 35MB
  29. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/03_Week_9-_25.2_-_The_nonlinear_Schrodinger_equation.mp4 35MB
  30. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/02_Week_8-_23.2_-_The_integrating_factor_for_PDEs.mp4 34MB
  31. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/04_Week_9-_27.4_-_Setting_up_Axb.mp4 34MB
  32. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/01_Week_9-_27.1_-_Building_finite_element_matrices.mp4 34MB
  33. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/05_Week_2-_6.4_-_Solving_nonlinear_problems_with_bvp4c.mp4 34MB
  34. 13_Week_6_-_Lecture_16_-_Stability_analysis/05_Week_6-_16.4_-_leap-frog_schemes_for_one-way_equation.mp4 33MB
  35. 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 33MB
  36. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/02_Week_3-_8.2_-_Discretizing_the_Laplacian.mp4 33MB
  37. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/03_Week_3-_9.3_-_Factoring_a_Matrix.mp4 33MB
  38. 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 33MB
  39. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/04_Week_4-_11.4_-_The_Fast_Poisson_Solver.mp4 32MB
  40. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/01_Week_7-_21.1_-_Programming_the_Advection-Diffusion_Equations.mp4 32MB
  41. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/04_Week_7-_21.4_-_Visualization_and_data_processing.mp4 32MB
  42. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/03_Week_7-_19.2_-_Fourier_mode_expansions.mp4 31MB
  43. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/02_Week_7-_19.1_-_Introduction_to_spectral_methods.mp4 31MB
  44. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/04_Week_8-_24.4_-_Building_the_Chebycheve_derivative_matrix.mp4 31MB
  45. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/05_Week_10-_28.4_-_No_slip_boundaries_on_airfoil.mp4 31MB
  46. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/04_Week_8-_23.4_-_More_comparisons.mp4 30MB
  47. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/02_Week_8-_24.2_-_Polynomial_approximations.mp4 30MB
  48. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/03_Week_4-_11.3_-_FFT_facts.mp4 29MB
  49. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/05_Week_8-_24.5_-_Implementing_the_Chebychev_matrix.mp4 29MB
  50. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/03_Week_9-_27.3_-_Implementing_the_finite_elements.mp4 29MB
  51. 23_Week_9_-_Lecture_26_-_Finite_element_basis/04_Week_9-_26.4_-_2D_Lagrange_polynomials.mp4 29MB
  52. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/04_Week_2-_5.3_-_Boundary_value_problems_and_Axb.mp4 29MB
  53. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/01_Week_7-_20.1_-_Spectral_methods_more_broadly_viewed.mp4 29MB
  54. 11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/02_Week_5-_14.2_-_MATLAB_and_the_1-D_heat_equation.mp4 29MB
  55. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/03_Week_7-_20.3_-_The_Chebychev_basis_functions.mp4 29MB
  56. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/02_Week_6-_17.2_-_leap-frog_for_the_wave_equation.mp4 28MB
  57. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/02_Week_9-_27.2_-_The_variational_reduction_of_the_PDE.mp4 28MB
  58. 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 28MB
  59. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/01_Week_8-_24.1_-_Boundary_conditions_of_spectral_methods.mp4 28MB
  60. 23_Week_9_-_Lecture_26_-_Finite_element_basis/02_Week_9-_26.2_-_Triangularing_the_computational_domain.mp4 27MB
  61. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/04_Week_4-_10.3_-_Gauss-Seidel_iterations.mp4 27MB
  62. 23_Week_9_-_Lecture_26_-_Finite_element_basis/03_Week_9-_26.3_-_Lagrange_polynomials.mp4 27MB
  63. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/02_Week_4-_11.2_-_Derivative_relations.mp4 27MB
  64. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/04_Week_10-_28.3_-_Boundary_conditions.mp4 27MB
  65. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/05_Week_5-_15.5_-_Predictor-corrector_techniques.mp4 26MB
  66. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/06_Week_2-_5.5_-_Nonlinear_boundary_value_problems.mp4 26MB
  67. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/02_Week_9-_25.1_-_Operator_splitting-_linear_and_nonlinear_terms.mp4 26MB
  68. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/01_Week_5-_15.1_-_Discretizing_the_one-way_wave_equation.mp4 26MB
  69. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/03_Week_6-_17.3_-_Higher-order_PDEs_and_stability.mp4 26MB
  70. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/03_Week_8-_22.2_-_2D_Chebychev_differentiation_and_KRON.mp4 26MB
  71. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/04_Week_7-_19.3_-_Modal_structures_for_cosine-sine_transforms.mp4 25MB
  72. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/03_Week_10-_28.2_-_Advection-diffusion_equations.mp4 25MB
  73. 13_Week_6_-_Lecture_16_-_Stability_analysis/02_Week_6-_16.1_-_Von_Neumann_analysis_for_stability.mp4 25MB
  74. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/03_Week_5-_15.3_-_Higher-accuracy_derivatives_and_schemes.mp4 24MB
  75. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/02_Week_2-_4.1_-Converting_to_first-order_systems.mp4 24MB
  76. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/03_Week_8-_24.3_-_Chebychev_points_and_polynomials.mp4 24MB
  77. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/04_Week_5-_15.4_-_Implicit_numerical_schemes.mp4 24MB
  78. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/01_Week_3-_9.1_-_Linear_Systems_of_Equations.mp4 24MB
  79. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/02_Week_5-_15.2_-_The_CFL_number_and_stability.mp4 23MB
  80. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/03_Week_8-_23.3_-_Comparison_of_coding_techniques.mp4 23MB
  81. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/04_Week_3-_7.3_-_Solution_Techniques_and_Characteristics_of_Advection-Diffusion.mp4 23MB
  82. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/02_Week_2-_6.1_-_Setting_up_boundary_value_problems_in_MATLAB.mp4 23MB
  83. 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 22MB
  84. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/06_Week_2-_4.5_-_Multiple_solutions_and_eigenvalues.mp4 22MB
  85. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/03_Week_7-_21.3_-_The_time-evolution_of_advection-diffusion.mp4 22MB
  86. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/01_Week_10-_30.1_-_Flow_over_an_airfoil.mp4 22MB
  87. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/06_Week_10-_29.6_-_A_second_example_with_interior_domains.mp4 21MB
  88. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/04_Week_9-_25.3_-_Algorithm_for_split_stepping.mp4 21MB
  89. 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 21MB
  90. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/01_Week_4-_11.1_-_The_Fast_Fourier_Transform.mp4 20MB
  91. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/02_Week_4-_10.1_-_A_basic_iteration_procedure-__Jacobi.mp4 20MB
  92. 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 20MB
  93. 13_Week_6_-_Lecture_16_-_Stability_analysis/03_Week_6-_16.2_-_Stability_of_forward_Euler_for_one-way_wave_equation.mp4 19MB
  94. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/04_Week_2-_6.3_-_Nonlinear_boundary_value_problems.mp4 19MB
  95. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/03_Week_5-_13.2_-_Computing_derivatives_with_the_FFT.mp4 18MB
  96. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/01_Week_10-_29.1_-_Introduction_to_the_PDE_toolbox.mp4 18MB
  97. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/03_Week_2-_4.2_-_Implementation_of_boundary_conditions.mp4 17MB
  98. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/02_Week_7-_21.2_-_Setting_up_initial_conditions.mp4 17MB
  99. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/02_Week_10-_30.2_-_Implementing_no-slip_boundaries.mp4 17MB
  100. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/02_Week_5-_13.1_-_Implementing_the_Fourier_Transform.mp4 15MB
  101. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/05_Week_2-_4.4_-_Code_exploration_for_strategic_searching.mp4 15MB
  102. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/01_Week_4-_Lecture_Overview.mp4 13MB
  103. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/03_Week_10-_29.3_-_Specifying_the_PDE.mp4 13MB
  104. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/06_Week_10-_30.6_-_Wind_tunnel_on_the_iPad.mp4 12MB
  105. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/05_Week_2-_5.4_-_Boundary_implementation.mp4 12MB
  106. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/01_Week_5-_Lecture_Overview.mp4 11MB
  107. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/01_Week_10-_Lecture_Overview.mp4 11MB
  108. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/02_Week_10-_29.2_-_Implementing_boundary_conditions.mp4 10MB
  109. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/05_Week_10-_29.5_-_Solving_the_PDE.mp4 10MB
  110. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/04_Week_10-_29.4_-_Generating_a_mesh.mp4 9MB
  111. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/01_Week_9-_Lecture_Overview.mp4 9MB
  112. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/04_Week_10-_30.4_-_Meshing_and_solving_the_PDE.mp4 9MB
  113. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/01_Week_2-_4.0_-_Lecture_4_Overview.mp4 9MB
  114. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/01_Week_8-_Lecture_Overview.mp4 9MB
  115. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/01_Week_7-_Lecture_Overview.mp4 8MB
  116. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/01_Week_2-_6.0_-_Lecture_6_Overview.mp4 8MB
  117. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/01_Week_3-_Lecture_Overview.mp4 8MB
  118. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/04_Week_3-_8.4_-_Derivative_Matrices.mp4 8MB
  119. 13_Week_6_-_Lecture_16_-_Stability_analysis/01_Week_6-_Lecture_Overview.mp4 8MB
  120. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/01_Week_2-_5.0_-_Lecture_5_Overview.mp4 7MB
  121. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/05_Week_10-_30.5_-_Rotating_the_internal_boundaries.mp4 6MB
  122. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/03_Week_10-_30.3_-_Implementing_the_boundaries_away_from_wing.mp4 6MB
  123. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/02_Week_8-_22.1_-_The_Chebychev_grid_and_differentiation.srt 29KB
  124. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/03_Week_2-_6.2_-_Implementing_bvp4c_in_MATLAB.srt 28KB
  125. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/04_Week_5-_13.3_-_Building_the_Laplace_derivative_matrix.srt 27KB
  126. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/02_Week_3-_7.1_-_Shallow-fluids_and_Conservation_of_Mass.srt 26KB
  127. 11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/01_Week_5-_14.1_-_Implementing_time-stepping_for_PDEs.srt 25KB
  128. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/03_Week_3-_8.3_-_Building_the_Laplacian_Matrix.srt 25KB
  129. 11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/03_Week_5-_14.3_-_MATLAB_and_the_2-D_heat_equation.srt 22KB
  130. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/04_Week_6-_17.4_-_Higher-order_derivatives_and_numerical_stiffness.srt 22KB
  131. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/04_Week_8-_22.3_-_Implementing_the_Chebychev_function.srt 21KB
  132. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/04_Week_2-_4.3_-_Coding_the_boundary_value_problem.srt 21KB
  133. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/05_Week_2-_6.4_-_Solving_nonlinear_problems_with_bvp4c.srt 21KB
  134. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/03_Week_4-_10.2_-_Strict_diagonal_dominance.srt 21KB
  135. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/04_Week_7-_21.4_-_Visualization_and_data_processing.srt 20KB
  136. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/05_Week_7-_19.4_-_Cooley-Tukey_and_the_FFT_algorithm.srt 20KB
  137. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/01_Week_8-_23.1_-_Filtering_for_removing_stiffness.srt 20KB
  138. 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 20KB
  139. 23_Week_9_-_Lecture_26_-_Finite_element_basis/01_Week_9-_26.1_-_The_finite_element_method.srt 19KB
  140. 13_Week_6_-_Lecture_16_-_Stability_analysis/04_Week_6-_16.3_-_Von_Neumann_for_alternative_schemes_for_the_one-way_wave_equation.srt 19KB
  141. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/04_Week_3-_9.4_-_The_Backslash_Command_in_MATLAB.srt 19KB
  142. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/02_Week_10-_28.1_-_Wing_aerodynamics.srt 18KB
  143. 09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/01_Week_4-_12.1_-_Singular_Poisson_matrix.srt 18KB
  144. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/05_Week_9-_25.4_-_The_general_splitting_method-_the_Trotter_product_error.srt 18KB
  145. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/01_Week_6-_17.1_-_Von_Neumann_analysis_for_the_heat_equation.srt 17KB
  146. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/02_Week_8-_22.1_-_The_Chebychev_grid_and_differentiation.txt 17KB
  147. 09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/02_Week_4-_12.2_-_Fixing_the_divide_by_zero_with_FFTs.srt 17KB
  148. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/03_Week_2-_6.2_-_Implementing_bvp4c_in_MATLAB.txt 17KB
  149. 09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/03_Week_4-_12.3_-_Matrices_for_the_advection-diffusion.srt 17KB
  150. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/02_Week_3-_7.1_-_Shallow-fluids_and_Conservation_of_Mass.txt 17KB
  151. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/03_Week_9-_25.2_-_The_nonlinear_Schrodinger_equation.srt 16KB
  152. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/03_Week_7-_21.3_-_The_time-evolution_of_advection-diffusion.srt 16KB
  153. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/05_Week_10-_28.4_-_No_slip_boundaries_on_airfoil.srt 16KB
  154. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/02_Week_2-_5.1_-_Computing_derivatives_with_Taylor_series.srt 16KB
  155. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/04_Week_5-_13.3_-_Building_the_Laplace_derivative_matrix.txt 16KB
  156. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/03_Week_3-_7.2_-_The_Advection-Diffusion_Equations.srt 16KB
  157. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/03_Week_8-_22.2_-_2D_Chebychev_differentiation_and_KRON.srt 16KB
  158. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/01_Week_9-_27.1_-_Building_finite_element_matrices.srt 16KB
  159. 13_Week_6_-_Lecture_16_-_Stability_analysis/05_Week_6-_16.4_-_leap-frog_schemes_for_one-way_equation.srt 16KB
  160. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/04_Week_9-_27.4_-_Setting_up_Axb.srt 16KB
  161. 11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/01_Week_5-_14.1_-_Implementing_time-stepping_for_PDEs.txt 15KB
  162. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/03_Week_3-_8.3_-_Building_the_Laplacian_Matrix.txt 15KB
  163. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/02_Week_8-_23.2_-_The_integrating_factor_for_PDEs.srt 15KB
  164. 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 15KB
  165. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/01_Week_3-_8.1_-_Algorithms_for_Solving_the_Advection-Diffusion_Equation.srt 15KB
  166. 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 15KB
  167. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/03_Week_7-_19.2_-_Fourier_mode_expansions.srt 15KB
  168. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/05_Week_8-_24.5_-_Implementing_the_Chebychev_matrix.srt 15KB
  169. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/04_Week_7-_20.4_-_Domain_discretization_with_Chebychev.srt 15KB
  170. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/02_Week_6-_17.2_-_leap-frog_for_the_wave_equation.srt 14KB
  171. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/01_Week_10-_29.1_-_Introduction_to_the_PDE_toolbox.srt 14KB
  172. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/02_Week_3-_9.2_-_The_LU_Decomposition.srt 14KB
  173. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/02_Week_7-_20.2_-_The_Chebychev_transform.srt 14KB
  174. 11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/02_Week_5-_14.2_-_MATLAB_and_the_1-D_heat_equation.srt 14KB
  175. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/02_Week_7-_19.1_-_Introduction_to_spectral_methods.srt 14KB
  176. 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 14KB
  177. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/03_Week_4-_11.3_-_FFT_facts.srt 14KB
  178. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/02_Week_8-_24.2_-_Polynomial_approximations.srt 14KB
  179. 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 14KB
  180. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/04_Week_6-_17.4_-_Higher-order_derivatives_and_numerical_stiffness.txt 13KB
  181. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/01_Week_8-_24.1_-_Boundary_conditions_of_spectral_methods.srt 13KB
  182. 11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/03_Week_5-_14.3_-_MATLAB_and_the_2-D_heat_equation.txt 13KB
  183. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/03_Week_3-_9.3_-_Factoring_a_Matrix.srt 13KB
  184. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/01_Week_7-_21.1_-_Programming_the_Advection-Diffusion_Equations.srt 13KB
  185. 23_Week_9_-_Lecture_26_-_Finite_element_basis/02_Week_9-_26.2_-_Triangularing_the_computational_domain.srt 13KB
  186. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/04_Week_10-_28.3_-_Boundary_conditions.srt 13KB
  187. 23_Week_9_-_Lecture_26_-_Finite_element_basis/04_Week_9-_26.4_-_2D_Lagrange_polynomials.srt 13KB
  188. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/03_Week_5-_13.2_-_Computing_derivatives_with_the_FFT.srt 13KB
  189. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/03_Week_9-_27.3_-_Implementing_the_finite_elements.srt 13KB
  190. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/05_Week_2-_6.4_-_Solving_nonlinear_problems_with_bvp4c.txt 13KB
  191. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/06_Week_10-_29.6_-_A_second_example_with_interior_domains.srt 13KB
  192. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/01_Week_7-_20.1_-_Spectral_methods_more_broadly_viewed.srt 13KB
  193. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/02_Week_3-_8.2_-_Discretizing_the_Laplacian.srt 13KB
  194. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/04_Week_2-_4.3_-_Coding_the_boundary_value_problem.txt 13KB
  195. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/02_Week_9-_27.2_-_The_variational_reduction_of_the_PDE.srt 13KB
  196. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/01_Week_5-_15.1_-_Discretizing_the_one-way_wave_equation.srt 13KB
  197. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/03_Week_4-_10.2_-_Strict_diagonal_dominance.txt 13KB
  198. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/04_Week_8-_24.4_-_Building_the_Chebycheve_derivative_matrix.srt 12KB
  199. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/02_Week_4-_11.2_-_Derivative_relations.srt 12KB
  200. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/04_Week_8-_22.3_-_Implementing_the_Chebychev_function.txt 12KB
  201. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/05_Week_7-_19.4_-_Cooley-Tukey_and_the_FFT_algorithm.txt 12KB
  202. 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 12KB
  203. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/02_Week_7-_21.2_-_Setting_up_initial_conditions.srt 12KB
  204. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/05_Week_5-_15.5_-_Predictor-corrector_techniques.srt 12KB
  205. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/04_Week_4-_11.4_-_The_Fast_Poisson_Solver.srt 12KB
  206. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/04_Week_7-_21.4_-_Visualization_and_data_processing.txt 12KB
  207. 13_Week_6_-_Lecture_16_-_Stability_analysis/02_Week_6-_16.1_-_Von_Neumann_analysis_for_stability.srt 12KB
  208. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/06_Week_2-_4.5_-_Multiple_solutions_and_eigenvalues.srt 12KB
  209. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/04_Week_4-_10.3_-_Gauss-Seidel_iterations.srt 12KB
  210. 23_Week_9_-_Lecture_26_-_Finite_element_basis/01_Week_9-_26.1_-_The_finite_element_method.txt 12KB
  211. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/03_Week_8-_24.3_-_Chebychev_points_and_polynomials.srt 12KB
  212. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/01_Week_8-_23.1_-_Filtering_for_removing_stiffness.txt 12KB
  213. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/04_Week_3-_9.4_-_The_Backslash_Command_in_MATLAB.txt 12KB
  214. 13_Week_6_-_Lecture_16_-_Stability_analysis/04_Week_6-_16.3_-_Von_Neumann_for_alternative_schemes_for_the_one-way_wave_equation.txt 12KB
  215. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/03_Week_6-_17.3_-_Higher-order_PDEs_and_stability.srt 12KB
  216. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/04_Week_8-_23.4_-_More_comparisons.srt 12KB
  217. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/03_Week_7-_20.3_-_The_Chebychev_basis_functions.srt 12KB
  218. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/06_Week_2-_5.5_-_Nonlinear_boundary_value_problems.srt 12KB
  219. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/02_Week_5-_15.2_-_The_CFL_number_and_stability.srt 12KB
  220. 09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/01_Week_4-_12.1_-_Singular_Poisson_matrix.txt 12KB
  221. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/04_Week_2-_5.3_-_Boundary_value_problems_and_Axb.srt 11KB
  222. 23_Week_9_-_Lecture_26_-_Finite_element_basis/03_Week_9-_26.3_-_Lagrange_polynomials.srt 11KB
  223. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/01_Week_10-_30.1_-_Flow_over_an_airfoil.srt 11KB
  224. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/04_Week_3-_7.3_-_Solution_Techniques_and_Characteristics_of_Advection-Diffusion.srt 11KB
  225. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/02_Week_9-_25.1_-_Operator_splitting-_linear_and_nonlinear_terms.srt 11KB
  226. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/02_Week_10-_28.1_-_Wing_aerodynamics.txt 11KB
  227. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/03_Week_8-_23.3_-_Comparison_of_coding_techniques.srt 11KB
  228. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/04_Week_5-_15.4_-_Implicit_numerical_schemes.srt 11KB
  229. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/03_Week_5-_15.3_-_Higher-accuracy_derivatives_and_schemes.srt 11KB
  230. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/05_Week_9-_25.4_-_The_general_splitting_method-_the_Trotter_product_error.txt 11KB
  231. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/03_Week_10-_29.3_-_Specifying_the_PDE.srt 11KB
  232. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/02_Week_10-_30.2_-_Implementing_no-slip_boundaries.srt 11KB
  233. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/01_Week_6-_17.1_-_Von_Neumann_analysis_for_the_heat_equation.txt 11KB
  234. 09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/02_Week_4-_12.2_-_Fixing_the_divide_by_zero_with_FFTs.txt 10KB
  235. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/02_Week_5-_13.1_-_Implementing_the_Fourier_Transform.srt 10KB
  236. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/04_Week_7-_19.3_-_Modal_structures_for_cosine-sine_transforms.srt 10KB
  237. 09_Week_4_-_Lecture_12_-_Overcoming_computational_difficulties_for_Axb/03_Week_4-_12.3_-_Matrices_for_the_advection-diffusion.txt 10KB
  238. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/02_Week_2-_4.1_-Converting_to_first-order_systems.srt 10KB
  239. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/03_Week_9-_25.2_-_The_nonlinear_Schrodinger_equation.txt 10KB
  240. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/05_Week_10-_28.4_-_No_slip_boundaries_on_airfoil.txt 10KB
  241. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/03_Week_7-_21.3_-_The_time-evolution_of_advection-diffusion.txt 10KB
  242. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/03_Week_3-_7.2_-_The_Advection-Diffusion_Equations.txt 10KB
  243. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/03_Week_10-_28.2_-_Advection-diffusion_equations.srt 10KB
  244. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/01_Week_9-_27.1_-_Building_finite_element_matrices.txt 10KB
  245. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/01_Week_3-_9.1_-_Linear_Systems_of_Equations.srt 10KB
  246. 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 10KB
  247. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/02_Week_2-_5.1_-_Computing_derivatives_with_Taylor_series.txt 10KB
  248. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/03_Week_8-_22.2_-_2D_Chebychev_differentiation_and_KRON.txt 10KB
  249. 13_Week_6_-_Lecture_16_-_Stability_analysis/05_Week_6-_16.4_-_leap-frog_schemes_for_one-way_equation.txt 10KB
  250. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/04_Week_9-_27.4_-_Setting_up_Axb.txt 10KB
  251. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/01_Week_3-_8.1_-_Algorithms_for_Solving_the_Advection-Diffusion_Equation.txt 9KB
  252. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/02_Week_8-_23.2_-_The_integrating_factor_for_PDEs.txt 9KB
  253. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/05_Week_8-_24.5_-_Implementing_the_Chebychev_matrix.txt 9KB
  254. 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 9KB
  255. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/04_Week_9-_25.3_-_Algorithm_for_split_stepping.srt 9KB
  256. 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 9KB
  257. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/04_Week_7-_20.4_-_Domain_discretization_with_Chebychev.txt 9KB
  258. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/03_Week_7-_19.2_-_Fourier_mode_expansions.txt 9KB
  259. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/02_Week_3-_9.2_-_The_LU_Decomposition.txt 9KB
  260. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/02_Week_6-_17.2_-_leap-frog_for_the_wave_equation.txt 9KB
  261. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/02_Week_2-_6.1_-_Setting_up_boundary_value_problems_in_MATLAB.srt 9KB
  262. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/02_Week_10-_29.2_-_Implementing_boundary_conditions.srt 9KB
  263. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/03_Week_4-_11.3_-_FFT_facts.txt 9KB
  264. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/02_Week_7-_19.1_-_Introduction_to_spectral_methods.txt 9KB
  265. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/02_Week_7-_20.2_-_The_Chebychev_transform.txt 9KB
  266. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/01_Week_10-_29.1_-_Introduction_to_the_PDE_toolbox.txt 9KB
  267. 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 8KB
  268. 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 8KB
  269. 11_Week_5_-_Lecture_14_-_Basic_time-stepping_schemes/02_Week_5-_14.2_-_MATLAB_and_the_1-D_heat_equation.txt 8KB
  270. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/01_Week_8-_24.1_-_Boundary_conditions_of_spectral_methods.txt 8KB
  271. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/01_Week_7-_21.1_-_Programming_the_Advection-Diffusion_Equations.txt 8KB
  272. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/03_Week_3-_9.3_-_Factoring_a_Matrix.txt 8KB
  273. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/02_Week_8-_24.2_-_Polynomial_approximations.txt 8KB
  274. 23_Week_9_-_Lecture_26_-_Finite_element_basis/02_Week_9-_26.2_-_Triangularing_the_computational_domain.txt 8KB
  275. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/01_Week_7-_20.1_-_Spectral_methods_more_broadly_viewed.txt 8KB
  276. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/01_Week_5-_15.1_-_Discretizing_the_one-way_wave_equation.txt 8KB
  277. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/02_Week_3-_8.2_-_Discretizing_the_Laplacian.txt 8KB
  278. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/01_Week_4-_11.1_-_The_Fast_Fourier_Transform.srt 8KB
  279. 23_Week_9_-_Lecture_26_-_Finite_element_basis/04_Week_9-_26.4_-_2D_Lagrange_polynomials.txt 8KB
  280. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/02_Week_4-_10.1_-_A_basic_iteration_procedure-__Jacobi.srt 8KB
  281. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/06_Week_10-_30.6_-_Wind_tunnel_on_the_iPad.srt 8KB
  282. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/04_Week_10-_28.3_-_Boundary_conditions.txt 8KB
  283. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/03_Week_5-_13.2_-_Computing_derivatives_with_the_FFT.txt 8KB
  284. 13_Week_6_-_Lecture_16_-_Stability_analysis/03_Week_6-_16.2_-_Stability_of_forward_Euler_for_one-way_wave_equation.srt 8KB
  285. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/03_Week_9-_27.3_-_Implementing_the_finite_elements.txt 8KB
  286. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/02_Week_4-_11.2_-_Derivative_relations.txt 8KB
  287. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/04_Week_8-_24.4_-_Building_the_Chebycheve_derivative_matrix.txt 8KB
  288. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/05_Week_5-_15.5_-_Predictor-corrector_techniques.txt 8KB
  289. 24_Week_9_-_Lecture_27_-_Discretizing_with_finite_elements_and_boundaries/02_Week_9-_27.2_-_The_variational_reduction_of_the_PDE.txt 8KB
  290. 18_Week_7_-_Lecture_21_-_Spectral_method_implementation/02_Week_7-_21.2_-_Setting_up_initial_conditions.txt 8KB
  291. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/06_Week_10-_29.6_-_A_second_example_with_interior_domains.txt 8KB
  292. 21_Week_8_-_Lecture_24_-_Boundary_conditions_and_the_Chebychev_Transform/03_Week_8-_24.3_-_Chebychev_points_and_polynomials.txt 7KB
  293. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/05_Week_2-_4.4_-_Code_exploration_for_strategic_searching.srt 7KB
  294. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/04_Week_4-_11.4_-_The_Fast_Poisson_Solver.txt 7KB
  295. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/04_Week_4-_10.3_-_Gauss-Seidel_iterations.txt 7KB
  296. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/06_Week_2-_5.5_-_Nonlinear_boundary_value_problems.txt 7KB
  297. 13_Week_6_-_Lecture_16_-_Stability_analysis/02_Week_6-_16.1_-_Von_Neumann_analysis_for_stability.txt 7KB
  298. 14_Week_6_-_Lecture_17_-_Comparison_of_time-stepping_schemes/03_Week_6-_17.3_-_Higher-order_PDEs_and_stability.txt 7KB
  299. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/04_Week_2-_6.3_-_Nonlinear_boundary_value_problems.srt 7KB
  300. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/04_Week_3-_7.3_-_Solution_Techniques_and_Characteristics_of_Advection-Diffusion.txt 7KB
  301. 17_Week_7_-_Lecture_20_-_Chebychev_Polynomials_and_Transform/03_Week_7-_20.3_-_The_Chebychev_basis_functions.txt 7KB
  302. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/06_Week_2-_4.5_-_Multiple_solutions_and_eigenvalues.txt 7KB
  303. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/04_Week_8-_23.4_-_More_comparisons.txt 7KB
  304. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/04_Week_7-_19.3_-_Modal_structures_for_cosine-sine_transforms.txt 7KB
  305. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/02_Week_5-_15.2_-_The_CFL_number_and_stability.txt 7KB
  306. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/04_Week_2-_5.3_-_Boundary_value_problems_and_Axb.txt 7KB
  307. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/01_Week_10-_30.1_-_Flow_over_an_airfoil.txt 7KB
  308. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/02_Week_9-_25.1_-_Operator_splitting-_linear_and_nonlinear_terms.txt 7KB
  309. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/04_Week_5-_15.4_-_Implicit_numerical_schemes.txt 7KB
  310. 23_Week_9_-_Lecture_26_-_Finite_element_basis/03_Week_9-_26.3_-_Lagrange_polynomials.txt 7KB
  311. 12_Week_5_-_Lecture_15_-_Time-stepping_schemes_explicit_and_implicit_methods/03_Week_5-_15.3_-_Higher-accuracy_derivatives_and_schemes.txt 7KB
  312. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/04_Week_10-_30.4_-_Meshing_and_solving_the_PDE.srt 7KB
  313. 20_Week_8_-_Lecture_23_-__Pseudo-spectral_techniques_with_filtering/03_Week_8-_23.3_-_Comparison_of_coding_techniques.txt 7KB
  314. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/03_Week_2-_4.2_-_Implementation_of_boundary_conditions.srt 7KB
  315. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/02_Week_10-_30.2_-_Implementing_no-slip_boundaries.txt 7KB
  316. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/03_Week_10-_29.3_-_Specifying_the_PDE.txt 6KB
  317. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/04_Week_10-_29.4_-_Generating_a_mesh.srt 6KB
  318. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/02_Week_5-_13.1_-_Implementing_the_Fourier_Transform.txt 6KB
  319. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/02_Week_2-_4.1_-Converting_to_first-order_systems.txt 6KB
  320. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/03_Week_10-_28.2_-_Advection-diffusion_equations.txt 6KB
  321. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/05_Week_10-_29.5_-_Solving_the_PDE.srt 6KB
  322. 06_Week_3_-_Lecture_9_-__Iterative_Solution_Methods_for_Axb/01_Week_3-_9.1_-_Linear_Systems_of_Equations.txt 6KB
  323. 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 6KB
  324. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/04_Week_9-_25.3_-_Algorithm_for_split_stepping.txt 6KB
  325. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/02_Week_2-_6.1_-_Setting_up_boundary_value_problems_in_MATLAB.txt 5KB
  326. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/02_Week_10-_29.2_-_Implementing_boundary_conditions.txt 5KB
  327. 08_Week_4_-_Lecture_11_-__Fast_Poisson_solvers_for_Axb/01_Week_4-_11.1_-_The_Fast_Fourier_Transform.txt 5KB
  328. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/02_Week_4-_10.1_-_A_basic_iteration_procedure-__Jacobi.txt 5KB
  329. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/03_Week_10-_30.3_-_Implementing_the_boundaries_away_from_wing.srt 5KB
  330. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/06_Week_10-_30.6_-_Wind_tunnel_on_the_iPad.txt 5KB
  331. 13_Week_6_-_Lecture_16_-_Stability_analysis/03_Week_6-_16.2_-_Stability_of_forward_Euler_for_one-way_wave_equation.txt 5KB
  332. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/05_Week_10-_30.5_-_Rotating_the_internal_boundaries.srt 5KB
  333. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/04_Week_2-_6.3_-_Nonlinear_boundary_value_problems.txt 4KB
  334. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/05_Week_2-_4.4_-_Code_exploration_for_strategic_searching.txt 4KB
  335. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/03_Week_2-_4.2_-_Implementation_of_boundary_conditions.txt 4KB
  336. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/05_Week_2-_5.4_-_Boundary_implementation.srt 4KB
  337. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/04_Week_10-_30.4_-_Meshing_and_solving_the_PDE.txt 4KB
  338. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/04_Week_10-_29.4_-_Generating_a_mesh.txt 4KB
  339. 26_Week_10_-_Lecture_29_-_The_PDE_Toolbox_in_MATLAB/05_Week_10-_29.5_-_Solving_the_PDE.txt 3KB
  340. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/03_Week_10-_30.3_-_Implementing_the_boundaries_away_from_wing.txt 3KB
  341. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/04_Week_3-_8.4_-_Derivative_Matrices.srt 3KB
  342. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/01_Week_4-_Lecture_Overview.srt 3KB
  343. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/05_Week_2-_5.4_-_Boundary_implementation.txt 3KB
  344. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/01_Week_10-_Lecture_Overview.srt 3KB
  345. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/01_Week_9-_Lecture_Overview.srt 2KB
  346. 27_Week_10_-_Lecture_30_-_Implementing_the_PDE_Toolbox/05_Week_10-_30.5_-_Rotating_the_internal_boundaries.txt 2KB
  347. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/01_Week_5-_Lecture_Overview.srt 2KB
  348. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/01_Week_8-_Lecture_Overview.srt 2KB
  349. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/01_Week_7-_Lecture_Overview.srt 2KB
  350. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/01_Week_3-_Lecture_Overview.srt 2KB
  351. 13_Week_6_-_Lecture_16_-_Stability_analysis/01_Week_6-_Lecture_Overview.srt 2KB
  352. 05_Week_3_-_Lecture_8_-_Finite_Difference_Discretization/04_Week_3-_8.4_-_Derivative_Matrices.txt 2KB
  353. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/01_Week_2-_4.0_-_Lecture_4_Overview.srt 2KB
  354. 07_Week_4_-_Lecture_10_-__Iterative_solution_methods_for_Axb/01_Week_4-_Lecture_Overview.txt 2KB
  355. 25_Week_10_-_Lecture_28_-_Flow_over_and_airfoil/01_Week_10-_Lecture_Overview.txt 2KB
  356. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/01_Week_2-_6.0_-_Lecture_6_Overview.srt 2KB
  357. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/01_Week_2-_5.0_-_Lecture_5_Overview.srt 2KB
  358. 22_Week_9_-_Lecture_25_-_Operator_splitting_techniques/01_Week_9-_Lecture_Overview.txt 2KB
  359. 10_Week_5_-_Lecture_13_-_Comparison_of_solution_techniques_for_Axb/01_Week_5-_Lecture_Overview.txt 2KB
  360. 19_Week_8_-_Lecture_22_-_Implementing_the_Chebychev_Transform/01_Week_8-_Lecture_Overview.txt 1KB
  361. 16_Week_7_-_Lecture_19_-_Fast-Fourier_Transforms_and_CosineSine_transform/01_Week_7-_Lecture_Overview.txt 1KB
  362. 04_Week_3_-_Lecture_7_-_The_Advection-diffusion_Equations/01_Week_3-_Lecture_Overview.txt 1KB
  363. 13_Week_6_-_Lecture_16_-_Stability_analysis/01_Week_6-_Lecture_Overview.txt 1KB
  364. 01_Week_2_-_Lecture_4_-__Implementation_of_Shooting_and_Convergence_Studies/01_Week_2-_4.0_-_Lecture_4_Overview.txt 1KB
  365. 03_Week_2_-_Lecture_6_-___Implementing_MATLABs_boundary_value_solver/01_Week_2-_6.0_-_Lecture_6_Overview.txt 1KB
  366. 02_Week_2_-_Lecture_5_-__Boundary_value_problems-_direct_solve_and_relaxation/01_Week_2-_5.0_-_Lecture_5_Overview.txt 1KB