├── LICENSE ├── README.md ├── article1 ├── README.md └── fnoli2020.py ├── article12 ├── README.md └── pinoli2022.py ├── article14 ├── README.md ├── basisfunctions.py ├── poissonsolver.py ├── sparsesolve.py └── test_poisson_runtime.py ├── article15 ├── README.md ├── WE1_reproduction.eps ├── WE1_reproduction.png ├── burgers_diffusion.png ├── burgers_no_diffusion.png ├── burgers_replicate.py └── wave_equation_dirichlet.py ├── article2 ├── README.md └── deeponetslulu2021.py ├── article4 ├── README.md ├── code │ ├── arguments.py │ ├── basisfunctions.py │ ├── diffusion.py │ ├── flux.py │ ├── helper.py │ ├── initial_conditions.py │ ├── poissonbracket.py │ ├── poissonsolver.py │ ├── rungekutta.py │ ├── simulate.py │ ├── sparsesolve.py │ ├── timederivative.py │ └── trajectory.py ├── data │ ├── replicate_figure1.png │ ├── runtime_corr.png │ └── vorticity_corr.png ├── makefile └── scripts │ ├── compute_corrcoef.py │ ├── compute_runtime.py │ ├── compute_runtime_gputpu.py │ ├── make.mk │ ├── plot_accuracy_vs_runtime.py │ └── test_hostcallback.py ├── article43 ├── DOF_table1.png ├── README.md ├── analysiscode │ └── plot_data.py ├── delara_replicatetable1.py ├── replicate_table1.png └── simcode │ ├── flux.py │ ├── generate_code.py │ ├── helper.py │ ├── legendre.py │ ├── polynomial_recovery.py │ ├── rungekutta.py │ └── timederivative.py ├── article6 ├── README.md ├── core │ ├── dg │ │ ├── fluxdg.py │ │ ├── generate_code.py │ │ ├── helperdg.py │ │ ├── legendredg.py │ │ ├── limiter.py │ │ ├── polynomial_recovery.py │ │ ├── simulator.py │ │ └── timederivativedg.py │ ├── flux.py │ ├── rungekutta.py │ └── timederivative.py ├── replicate_figure3c.eps ├── replicate_figure3c.png ├── scripts │ └── reproduce_hoyer_et_al.py └── simulate │ ├── helper.py │ ├── initialconditions.py │ ├── legendre.py │ ├── simparams.py │ ├── simulations.py │ └── trajectory.py ├── article68 ├── README.md ├── basisfunctions.py ├── poissonsolver.py ├── sparsesolve.py └── test_poisson_runtime.py ├── article8 ├── README.md └── wang2021.py ├── generate_sparse_solve ├── README.md ├── eigen-3.4.0.tar.bz2 ├── makefile ├── sparse_solve.cpp └── sparse_solve_LDLT.cpp ├── poissonmatrices ├── README.md ├── alpha_right_matrix_0.npy ├── alpha_right_matrix_1.npy ├── alpha_right_matrix_2.npy ├── alpha_right_matrix_3.npy ├── alpha_right_matrix_4.npy ├── alpha_top_matrix_0.npy ├── alpha_top_matrix_1.npy ├── alpha_top_matrix_2.npy ├── alpha_top_matrix_3.npy ├── alpha_top_matrix_4.npy ├── assembly_matrix_nx10_ny10_order2.npy ├── assembly_matrix_nx128_ny128_order0.npy ├── assembly_matrix_nx128_ny128_order1.npy ├── assembly_matrix_nx128_ny128_order2.npy ├── assembly_matrix_nx12_ny12_order2.npy ├── assembly_matrix_nx14_ny14_order2.npy ├── assembly_matrix_nx16_ny16_order0.npy ├── assembly_matrix_nx16_ny16_order1.npy ├── assembly_matrix_nx16_ny16_order2.npy ├── assembly_matrix_nx192_ny192_order0.npy ├── assembly_matrix_nx192_ny192_order1.npy ├── assembly_matrix_nx192_ny192_order2.npy ├── assembly_matrix_nx24_ny24_order0.npy ├── assembly_matrix_nx24_ny24_order1.npy ├── assembly_matrix_nx24_ny24_order2.npy ├── assembly_matrix_nx256_ny256_order0.npy ├── assembly_matrix_nx256_ny256_order1.npy ├── assembly_matrix_nx256_ny256_order2.npy ├── assembly_matrix_nx28_ny28_order2.npy ├── assembly_matrix_nx2_ny2_order2.npy ├── assembly_matrix_nx32_ny32_order0.npy ├── assembly_matrix_nx32_ny32_order1.npy ├── assembly_matrix_nx32_ny32_order2.npy ├── assembly_matrix_nx384_ny384_order1.npy ├── assembly_matrix_nx3_ny3_order2.npy ├── assembly_matrix_nx48_ny48_order0.npy ├── assembly_matrix_nx48_ny48_order1.npy ├── assembly_matrix_nx48_ny48_order2.npy ├── assembly_matrix_nx4_ny4_order0.npy ├── assembly_matrix_nx4_ny4_order1.npy ├── assembly_matrix_nx4_ny4_order2.npy ├── assembly_matrix_nx512_ny512_order0.npy ├── assembly_matrix_nx512_ny512_order1.npy ├── assembly_matrix_nx5_ny5_order2.npy ├── assembly_matrix_nx5_ny5_order3.npy ├── assembly_matrix_nx60_ny60_order2.npy ├── assembly_matrix_nx64_ny16_order2.npy ├── assembly_matrix_nx64_ny64_order0.npy ├── assembly_matrix_nx64_ny64_order1.npy ├── assembly_matrix_nx64_ny64_order2.npy ├── assembly_matrix_nx6_ny6_order2.npy ├── assembly_matrix_nx6_ny6_order3.npy ├── assembly_matrix_nx7_ny7_order2.npy ├── assembly_matrix_nx8_ny8_order0.npy ├── assembly_matrix_nx8_ny8_order1.npy ├── assembly_matrix_nx8_ny8_order2.npy ├── assembly_matrix_nx8_ny8_order3.npy ├── assembly_matrix_nx96_ny96_order0.npy ├── assembly_matrix_nx96_ny96_order1.npy ├── assembly_matrix_nx96_ny96_order2.npy ├── assembly_matrix_transpose_nx10_ny10_order2.npy ├── assembly_matrix_transpose_nx128_ny128_order0.npy ├── assembly_matrix_transpose_nx128_ny128_order1.npy ├── assembly_matrix_transpose_nx128_ny128_order2.npy ├── assembly_matrix_transpose_nx12_ny12_order2.npy ├── assembly_matrix_transpose_nx14_ny14_order2.npy ├── assembly_matrix_transpose_nx16_ny16_order0.npy ├── assembly_matrix_transpose_nx16_ny16_order1.npy ├── assembly_matrix_transpose_nx16_ny16_order2.npy ├── assembly_matrix_transpose_nx192_ny192_order0.npy ├── assembly_matrix_transpose_nx192_ny192_order1.npy ├── assembly_matrix_transpose_nx192_ny192_order2.npy ├── assembly_matrix_transpose_nx24_ny24_order0.npy ├── assembly_matrix_transpose_nx24_ny24_order1.npy ├── assembly_matrix_transpose_nx24_ny24_order2.npy ├── assembly_matrix_transpose_nx256_ny256_order0.npy ├── assembly_matrix_transpose_nx256_ny256_order1.npy ├── assembly_matrix_transpose_nx256_ny256_order2.npy ├── assembly_matrix_transpose_nx28_ny28_order2.npy ├── assembly_matrix_transpose_nx2_ny2_order2.npy ├── assembly_matrix_transpose_nx32_ny32_order0.npy ├── assembly_matrix_transpose_nx32_ny32_order1.npy ├── assembly_matrix_transpose_nx32_ny32_order2.npy ├── assembly_matrix_transpose_nx384_ny384_order1.npy ├── assembly_matrix_transpose_nx3_ny3_order2.npy ├── assembly_matrix_transpose_nx48_ny48_order0.npy ├── assembly_matrix_transpose_nx48_ny48_order1.npy ├── assembly_matrix_transpose_nx48_ny48_order2.npy ├── assembly_matrix_transpose_nx4_ny4_order0.npy ├── assembly_matrix_transpose_nx4_ny4_order1.npy ├── assembly_matrix_transpose_nx4_ny4_order2.npy ├── assembly_matrix_transpose_nx512_ny512_order0.npy ├── assembly_matrix_transpose_nx512_ny512_order1.npy ├── assembly_matrix_transpose_nx5_ny5_order2.npy ├── assembly_matrix_transpose_nx5_ny5_order3.npy ├── assembly_matrix_transpose_nx60_ny60_order2.npy ├── assembly_matrix_transpose_nx64_ny16_order2.npy ├── assembly_matrix_transpose_nx64_ny64_order0.npy ├── assembly_matrix_transpose_nx64_ny64_order1.npy ├── assembly_matrix_transpose_nx64_ny64_order2.npy ├── assembly_matrix_transpose_nx6_ny6_order2.npy ├── assembly_matrix_transpose_nx6_ny6_order3.npy ├── assembly_matrix_transpose_nx7_ny7_order2.npy ├── assembly_matrix_transpose_nx8_ny8_order0.npy ├── assembly_matrix_transpose_nx8_ny8_order1.npy ├── assembly_matrix_transpose_nx8_ny8_order2.npy ├── assembly_matrix_transpose_nx8_ny8_order3.npy ├── assembly_matrix_transpose_nx96_ny96_order0.npy ├── assembly_matrix_transpose_nx96_ny96_order1.npy ├── assembly_matrix_transpose_nx96_ny96_order2.npy ├── boundary_matrix_inverse_0.npy ├── boundary_matrix_inverse_1.npy ├── boundary_matrix_inverse_2.npy ├── boundary_matrix_inverse_3.npy ├── boundary_matrix_inverse_4.npy ├── change_basis_boundary_to_volume_CB_B_0.npy ├── change_basis_boundary_to_volume_CB_B_1.npy ├── change_basis_boundary_to_volume_CB_B_2.npy ├── change_basis_boundary_to_volume_CB_B_3.npy ├── change_basis_boundary_to_volume_CB_B_4.npy ├── change_basis_boundary_to_volume_CB_L_0.npy ├── change_basis_boundary_to_volume_CB_L_1.npy ├── change_basis_boundary_to_volume_CB_L_2.npy ├── change_basis_boundary_to_volume_CB_L_3.npy ├── change_basis_boundary_to_volume_CB_L_4.npy ├── change_basis_boundary_to_volume_CB_R_0.npy ├── change_basis_boundary_to_volume_CB_R_1.npy ├── change_basis_boundary_to_volume_CB_R_2.npy ├── change_basis_boundary_to_volume_CB_R_3.npy ├── change_basis_boundary_to_volume_CB_R_4.npy ├── change_basis_boundary_to_volume_CB_T_0.npy ├── change_basis_boundary_to_volume_CB_T_1.npy ├── change_basis_boundary_to_volume_CB_T_2.npy ├── change_basis_boundary_to_volume_CB_T_3.npy ├── change_basis_boundary_to_volume_CB_T_4.npy ├── change_legendre_points_0.npy ├── change_legendre_points_1.npy ├── change_legendre_points_2.npy ├── change_legendre_points_3.npy ├── change_legendre_points_4.npy ├── elementwise_source_0.npy ├── elementwise_source_1.npy ├── elementwise_source_2.npy ├── elementwise_source_3.npy ├── elementwise_source_4.npy ├── elementwise_volume_0_1.npy ├── elementwise_volume_0_2.npy ├── elementwise_volume_1_1.npy ├── elementwise_volume_1_2.npy ├── elementwise_volume_2_1.npy ├── elementwise_volume_2_2.npy ├── elementwise_volume_3_1.npy ├── elementwise_volume_3_2.npy ├── elementwise_volume_4_1.npy ├── elementwise_volume_4_2.npy ├── legendre_boundary_inner_product_0.npy ├── legendre_boundary_inner_product_1.npy ├── legendre_boundary_inner_product_2.npy ├── legendre_boundary_inner_product_3.npy ├── legendre_boundary_inner_product_4.npy ├── num_global_elements_nx10_ny10_order2.npy ├── num_global_elements_nx128_ny128_order0.npy ├── num_global_elements_nx128_ny128_order1.npy ├── num_global_elements_nx128_ny128_order2.npy ├── num_global_elements_nx12_ny12_order2.npy ├── num_global_elements_nx14_ny14_order2.npy ├── num_global_elements_nx16_ny16_order0.npy ├── num_global_elements_nx16_ny16_order1.npy ├── num_global_elements_nx16_ny16_order2.npy ├── num_global_elements_nx192_ny192_order0.npy ├── num_global_elements_nx192_ny192_order1.npy ├── num_global_elements_nx192_ny192_order2.npy ├── num_global_elements_nx24_ny24_order0.npy ├── num_global_elements_nx24_ny24_order1.npy ├── num_global_elements_nx24_ny24_order2.npy ├── num_global_elements_nx256_ny256_order0.npy ├── num_global_elements_nx256_ny256_order1.npy ├── num_global_elements_nx256_ny256_order2.npy ├── num_global_elements_nx28_ny28_order2.npy ├── num_global_elements_nx2_ny2_order2.npy ├── num_global_elements_nx32_ny32_order0.npy ├── num_global_elements_nx32_ny32_order1.npy ├── num_global_elements_nx32_ny32_order2.npy ├── num_global_elements_nx384_ny384_order1.npy ├── num_global_elements_nx3_ny3_order2.npy ├── num_global_elements_nx48_ny48_order0.npy ├── num_global_elements_nx48_ny48_order1.npy ├── num_global_elements_nx48_ny48_order2.npy ├── num_global_elements_nx4_ny4_order0.npy ├── num_global_elements_nx4_ny4_order1.npy ├── num_global_elements_nx4_ny4_order2.npy ├── num_global_elements_nx512_ny512_order0.npy ├── num_global_elements_nx512_ny512_order1.npy ├── num_global_elements_nx5_ny5_order2.npy ├── num_global_elements_nx5_ny5_order3.npy ├── num_global_elements_nx60_ny60_order2.npy ├── num_global_elements_nx64_ny16_order2.npy ├── num_global_elements_nx64_ny64_order0.npy ├── num_global_elements_nx64_ny64_order1.npy ├── num_global_elements_nx64_ny64_order2.npy ├── num_global_elements_nx6_ny6_order2.npy ├── num_global_elements_nx6_ny6_order3.npy ├── num_global_elements_nx7_ny7_order2.npy ├── num_global_elements_nx8_ny8_order0.npy ├── num_global_elements_nx8_ny8_order1.npy ├── num_global_elements_nx8_ny8_order2.npy ├── num_global_elements_nx8_ny8_order3.npy ├── num_global_elements_nx96_ny96_order0.npy ├── num_global_elements_nx96_ny96_order1.npy ├── num_global_elements_nx96_ny96_order2.npy ├── poisson_bracket_volume_0.npy ├── poisson_bracket_volume_1.npy ├── poisson_bracket_volume_2.npy ├── poisson_bracket_volume_3.npy ├── poisson_bracket_volume_4.npy ├── volume_10_10_2.npz ├── volume_128_128_0.npz ├── volume_128_128_1.npz ├── volume_128_128_2.npz ├── volume_12_12_2.npz ├── volume_14_14_2.npz ├── volume_16_16_0.npz ├── volume_16_16_1.npz ├── volume_16_16_2.npz ├── volume_192_192_0.npz ├── volume_192_192_1.npz ├── volume_192_192_2.npz ├── volume_24_24_0.npz ├── volume_24_24_1.npz ├── volume_24_24_2.npz ├── volume_256_256_0.npz ├── volume_256_256_1.npz ├── volume_256_256_2.npz ├── volume_28_28_2.npz ├── volume_2_2_2.npz ├── volume_32_32_0.npz ├── volume_32_32_1.npz ├── volume_32_32_2.npz ├── volume_384_384_1.npz ├── volume_3_3_2.npz ├── volume_48_48_0.npz ├── volume_48_48_1.npz ├── volume_48_48_2.npz ├── volume_4_4_0.npz ├── volume_4_4_1.npz ├── volume_4_4_2.npz ├── volume_512_512_0.npz ├── volume_512_512_1.npz ├── volume_5_5_2.npz ├── volume_5_5_3.npz ├── volume_60_60_2.npz ├── volume_64_16_2.npz ├── volume_64_64_0.npz ├── volume_64_64_1.npz ├── volume_64_64_2.npz ├── volume_6_6_2.npz ├── volume_6_6_3.npz ├── volume_7_7_2.npz ├── volume_8_8_0.npz ├── volume_8_8_1.npz ├── volume_8_8_2.npz ├── volume_8_8_3.npz ├── volume_96_96_0.npz ├── volume_96_96_1.npz ├── volume_96_96_2.npz ├── zeta_right_minus_matrix_0.npy ├── zeta_right_minus_matrix_1.npy ├── zeta_right_minus_matrix_2.npy ├── zeta_right_minus_matrix_3.npy ├── zeta_right_minus_matrix_4.npy ├── zeta_right_plus_matrix_0.npy ├── zeta_right_plus_matrix_1.npy ├── zeta_right_plus_matrix_2.npy ├── 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