GitHub - FhrlFhrl/Probabilistic-parametric-reduced-order-model

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Name		Name	Last commit message	Last commit date
Latest commit History 10 Commits
Navier-stokes-2D-numerical-solve-incompressible-flow-with-custom-scenarios-MATLAB--master		Navier-stokes-2D-numerical-solve-incompressible-flow-with-custom-scenarios-MATLAB--master
.gitattributes		.gitattributes
Adaptive_GPR_ROM.m		Adaptive_GPR_ROM.m
Adaptive_GPR_ROM1.m		Adaptive_GPR_ROM1.m
Biquadspline_corrvector.m		Biquadspline_corrvector.m
Burger_Adaptive_ROM.m		Burger_Adaptive_ROM.m
Burger_ROM.m		Burger_ROM.m
Burger_snapshots.m		Burger_snapshots.m
Burger_snapshots_test.m		Burger_snapshots_test.m
DMD_discrete.m		DMD_discrete.m
GPR_ROM.m		GPR_ROM.m
GPR_ROM_Interpolation.m		GPR_ROM_Interpolation.m
GPR_ROM_Interpolation1.m		GPR_ROM_Interpolation1.m
GPR_ROM_NS.m		GPR_ROM_NS.m
GPR_ROM_NS1.m		GPR_ROM_NS1.m
GPR_ROM_prediction.m		GPR_ROM_prediction.m
GPR_ROM_prediction1.m		GPR_ROM_prediction1.m
GPR_plot.m		GPR_plot.m
Gaussian_corrvector.m		Gaussian_corrvector.m
Interpolation_model.m		Interpolation_model.m
Interpolation_model1.m		Interpolation_model1.m
KL_Coefficient.m		KL_Coefficient.m
Kriging_fit.m		Kriging_fit.m
Kriging_fit_mixed.m		Kriging_fit_mixed.m
Kriging_fit_single.m		Kriging_fit_single.m
Kriging_hyperparameter.m		Kriging_hyperparameter.m
Kriging_predictor.m		Kriging_predictor.m
Kriging_predictor_mixed.m		Kriging_predictor_mixed.m
Kriging_predictor_single.m		Kriging_predictor_single.m
Kriging_weight.m		Kriging_weight.m
NS_Adaptive_ROM_GPR.m		NS_Adaptive_ROM_GPR.m
NS_Adaptive_ROM_GPR1.m		NS_Adaptive_ROM_GPR1.m
NS_ROM.m		NS_ROM.m
NS_snapshots.m		NS_snapshots.m
NS_snapshots_test.m		NS_snapshots_test.m
POD_Kriging_predictor.m		POD_Kriging_predictor.m
POD_Kriging_train.m		POD_Kriging_train.m
ROM_Kriging_predictor.m		ROM_Kriging_predictor.m
ROM_Kriging_predictor_mixed.m		ROM_Kriging_predictor_mixed.m
ROM_Kriging_predictor_single.m		ROM_Kriging_predictor_single.m
ROM_Kriging_train.m		ROM_Kriging_train.m
ROM_Kriging_train_mixed.m		ROM_Kriging_train_mixed.m
ROM_Kriging_train_single.m		ROM_Kriging_train_single.m
Readme.txt		Readme.txt
Redi_10d_Adaptive_ROM.m		Redi_10d_Adaptive_ROM.m
Redi_10d_ROM.m		Redi_10d_ROM.m
Redi_10d_snapshots.m		Redi_10d_snapshots.m
Redi_10d_snapshots_test.m		Redi_10d_snapshots_test.m
Redi_Adaptive_ROM.m		Redi_Adaptive_ROM.m
Redi_ROM.m		Redi_ROM.m
Redi_snapshots.m		Redi_snapshots.m
Redi_snapshots_test.m		Redi_snapshots_test.m
corrbiquadspline.m		corrbiquadspline.m
corrgaussian.m		corrgaussian.m

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Matlab (R2023b) code of manuscript "ADAPTIVE DATA-DRIVEN PROBABILISTIC REDUCED-ORDER
MODELS FOR PARAMETERIZED DYNAMICAL SYSTEMS", submitted to SIAM journal on Scientific Computing.


The following functions are used to Construct reduced order model (ROM) for the numerical examples:

Burger_ROM.m: Burger equation 

Redi_ROM.m:  2d-reaction-diffusion equation

Redi_10d_ROM.m: 10-d reaction-diffusion equation

NS_ROM.m:  N-S equation


The following functions are used to develop adaptive parametric reduced order model (pROM) for the numerical examples :

Burger_Adaptive_ROM.m: Burger equation

Redi_Adaptive_ROM.m:  2-d reaction-diffusion equation

Redi_10d_Adaptive_ROM.m: 10-d reaction-diffusion equation

NS_Adaptive_ROM_GPR.m: N-S equation


The N-S equation is solved by the following code
https://github.com/JamieMJohns/Navier-stokes-2D-numerical-solve-incompressible-flow-with-custom-scenarios-MATLAB-