├── .gitignore ├── 01.实验成果 ├── 2D_Parabolic区域反问题.ipynb ├── 2D_Parabolic参数反问题.ipynb ├── 3D_Parabolic区域反问题.ipynb ├── 3D_Parabolic参数反问题.ipynb ├── 3D_Parabolic正问题.ipynb ├── Burgers.ipynb ├── ModelData │ ├── burgers_shock_mu_01_pi.mat │ ├── cBurgers_eg2 │ │ ├── checkpoint │ │ ├── weights.data-00000-of-00001 │ │ └── weights.index │ ├── cBurgers_eg3 │ │ ├── checkpoint │ │ ├── weights.data-00000-of-00001 │ │ └── weights.index │ ├── saw_couple_model_inverse_P │ │ ├── checkpoint │ │ ├── weights.data-00000-of-00001 │ │ └── weights.index │ ├── saw_couple_model_inverse_R │ │ ├── checkpoint │ │ ├── weights.data-00000-of-00001 │ │ └── weights.index │ ├── u1 │ │ ├── checkpoint │ │ ├── u1.data-00000-of-00001 │ │ └── u1.index │ └── u2 │ │ ├── checkpoint │ │ ├── u2.data-00000-of-00001 │ │ └── u2.index ├── Picture │ ├── 2d_cBurgers_eg1.png │ ├── 2d_cBurgers_eg1_surface_pred.png │ ├── 2d_cBurgers_eg1_surface_real.png │ ├── 2d_cBurgers_eg2.png │ ├── 2d_cBurgers_eg2_surface_pred.png │ ├── 2d_cBurgers_eg2_surface_real.png │ ├── 2d_cBurgers_eg3_surface_pred.png │ ├── 2d_parabolic_region_pred - .png │ ├── 2d_parabolic_surface_pred.png │ ├── 2d_parabolic_surface_real.png │ ├── 2d_parabolic_区域反问题_pred.png │ ├── 2d_parabolic_参数反问题_pred.png │ ├── 3d_parabolic_Adam_history.png │ ├── 3d_parabolic_lbfgs_history.png │ ├── 3d_parabolic_lbfgs_history_区反.png │ ├── 3d_parabolic_scatter_u1.png │ ├── 3d_parabolic_scatter_u1_inverse_P.png │ ├── 3d_parabolic_scatter_u1_region.png │ ├── 3d_parabolic_scatter_u1_区反.png │ ├── 3d_parabolic_scatter_u1_区反_resampling.png │ ├── 3d_parabolic_scatter_u2.png │ ├── 3d_parabolic_scatter_u2_inverse_P.png │ ├── 3d_parabolic_scatter_u2_region.png │ ├── 3d_parabolic_scatter_u2_区反.png │ ├── 3d_parabolic_scatter_u2_区反_resampling.png │ ├── 3d_parabolic_surface_pred.png │ ├── 3d_parabolic_surface_pred_inverse_P.png │ ├── 3d_parabolic_surface_pred_区反.png │ ├── 3d_parabolic_surface_pred_区反_resampling.png │ ├── 3d_parabolic_surface_real.png │ ├── BC_NN.png │ ├── Burgers.png │ ├── DeepNeuralNetwork.png │ ├── Interface.png │ ├── Interface_2D.png │ ├── PINN_diffusion.png │ ├── PINNs.png │ ├── cPINNs.png │ ├── cPINNs_parameter.png │ ├── cPINNs_参数反问题.png │ ├── cp_vs_saw_cp_err.png │ ├── cp_vs_saw_cp_loss.png │ ├── diffusion_equation_benchmark.png │ ├── grad1.png │ ├── grad10.png │ ├── grad11.png │ ├── grad12.png │ ├── grad2.png │ ├── grad3.png │ ├── grad4.png │ ├── grad5.png │ ├── grad6.png │ ├── grad7.png │ ├── grad8.png │ ├── grad9.png │ ├── image-20220821014918923.png │ ├── image-20220821015046947.png │ ├── image-20220821020300464.png │ ├── image-20220821020429813.png │ ├── image-20220821021224243.png │ ├── image-20220821021644663.png │ ├── image-20220821021705253.png │ ├── image-20220821021749647.png │ ├── parabolic-3d.png │ ├── subNN.png │ └── subTime.png ├── README.md ├── cBurgers_eg1.ipynb ├── cBurgers_eg2.ipynb ├── cBurgers_eg3.ipynb ├── cPINNs报告.md ├── cPINNs报告.pdf └── diffusion_equation_benchmark.ipynb ├── 02.PINNs学习记录 ├── 0629--0701myPINN_Burgers.ipynb ├── 0704--0705myPINN_Burgers.ipynb ├── 0708_myPINN_Burgers.ipynb ├── 0711_Parabolic耦合pde模型.ipynb ├── 0715_改进版Parabolic耦合pde.ipynb ├── 0720_Self_Adaptive_Parabolic耦合pde模型.ipynb ├── 0721_自适应&LBFGS_Parabolic耦合模型.ipynb ├── 0722_区域反问题_Parabolic耦合模型.ipynb ├── 0723_参数反问题_Parabolic耦合模型.ipynb ├── 0727_3D_Parabolic耦合模型.ipynb ├── 0730_3D_Parabolic耦合模型_优化.ipynb ├── Data │ ├── BC_ODE.png │ ├── BC_PDE.png │ ├── BC_solution1.png │ ├── Chebfun_Burgers_PDE.m │ ├── Duo_NN.png │ ├── L-BFGS in scipy and tfp.png │ ├── NN_structures.png │ ├── PINNs.png │ ├── PINNs1.png │ ├── PINNs10.png │ ├── PINNs2.png │ ├── PINNs3.png │ ├── PINNs4.png │ ├── PINNs5.png │ ├── PINNs6.png │ ├── PINNs7.png │ ├── PINNs8.png │ ├── PINNs9.png │ ├── Readme.txt │ ├── bug.png │ ├── burgers_shock.mat │ ├── burgers_shock_IC_sin2pi.mat │ ├── burgers_shock_IC_sin8pi.mat │ ├── burgers_shock_mu_005_pi.mat │ ├── burgers_shock_mu_01_pi.mat │ ├── coupleNN.png │ ├── grad1.png │ ├── grad10.png │ ├── grad11.png │ ├── grad12.png │ ├── grad2.png │ ├── grad3.png │ ├── grad4.png │ ├── grad5.png │ ├── grad6.png │ ├── grad7.png │ ├── grad8.png │ ├── grad9.png │ ├── model_u1.data-00000-of-00001 │ ├── model_u1.index │ ├── model_u2.data-00000-of-00001 │ ├── model_u2.index │ ├── parabolic-3d.png │ ├── 下载.png │ ├── 会议.png │ ├── 公式.png │ ├── 公式0.png │ └── 公式1.png ├── PINNs.md └── plot_example.py ├── 03.tensorflow学习记录 ├── 10_Layers.py ├── 11_Loss&Regularizer.py ├── 12_Metric.ipynb ├── 1_Graph.py ├── 2_AutoDiff.py ├── 3_lowApi.py ├── 4_MediumApi.py ├── 5_TopApi.py ├── 6_AutoGraph机理.py ├── 7_Module.py ├── 8_Tf.data.py └── 9_Activation.py ├── 04.论文资料 ├── 1-s2.0-S0021999121007798-main.pdf ├── Deep Learning-An Introduction.pdf ├── DeepXDE- A Deep Learning Library for Solving Differential Equations.pdf ├── Numerical solution of the coupled viscous Burgers’ equation.pdf ├── PARTITIONED TIMESTEPPING FOR A PARABOLIC TWO DOMA.pdf ├── PINNs_Recent Advances and Prospects.pdf ├── Physics-Informed Neural Networks for 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