├── .gitignore ├── Datasets ├── __init__.py ├── basic_data │ ├── DefineDatsets.py │ ├── __init__.py │ ├── _base_data.py │ ├── graph_field.py │ ├── image_field.py │ ├── scalar_data.py │ └── time_series.py ├── data_loader │ └── loader.py ├── data_normer.py └── file_reader │ └── reader.py ├── Demo ├── Advection_1d+t │ ├── gen │ │ ├── advection.py │ │ ├── gen4pinn.py │ │ └── main.py │ └── run_deepONet+PINN.py ├── AirfoilsComplex_2d │ └── run_FNO&UNet.py ├── Airfoils_2d │ └── run_FNO&UNet.py ├── Battery_1d │ ├── run_CNN.py │ ├── run_Trans.py │ └── transformer_config.yml ├── Bayesian_1d │ ├── run_nonlinear1d.py │ ├── run_pinn_Bayesian_2d.py │ └── run_poisson_1d.py ├── BladeFlutter_2d │ ├── run_FNO&UNet.py │ ├── run_Trans.py │ ├── run_deepFcn.py │ ├── run_train_graph.py │ ├── transformer_config-.yml │ ├── transformer_config.yml │ ├── try.py │ └── validate.py ├── BladeFlutter_2d_reg │ ├── run_FNO&UNet.py │ ├── run_Trans.py │ ├── run_deepFcn.py │ ├── run_train_graph.py │ ├── transformer_config.yml │ └── try.py ├── BladeFlutter_3d+t │ ├── infer_FNO.py │ ├── train_FNO.py │ ├── train_surrogate.py │ └── utilize.py ├── BluffFlow_2d │ └── run_Graph.py ├── Burgers_1d+t │ └── gen │ │ ├── Burgers.m │ │ ├── GRF.m │ │ ├── chebfun │ │ ├── +cheb │ │ │ ├── README.txt │ │ │ ├── bernoulli.m │ │ │ ├── bspline.m │ │ │ ├── choreo.m │ │ │ ├── choreosphere.m │ │ │ ├── gallery.m │ │ │ ├── gallery2.m │ │ │ ├── gallery3.m │ │ │ ├── galleryball.m │ │ │ ├── gallerydisk.m │ │ │ ├── gallerysphere.m │ │ │ ├── gallerytrig.m │ │ │ ├── normal2.m │ │ │ ├── readme.m │ │ │ ├── revolution.m │ │ │ ├── x.m │ │ │ ├── xy.m │ │ │ ├── xydisk.m │ │ │ ├── xyz.m │ │ │ └── xyzsphere.m │ │ ├── .github │ │ │ └── workflows │ │ │ │ └── matlab.yml │ │ ├── .gitignore │ │ ├── @adchebfun │ │ │ ├── adchebfun.m │ │ │ ├── domain.m │ │ │ ├── taylorTesting.m │ │ │ ├── taylorTestingBinary.m │ │ │ ├── testUnary.m │ │ │ ├── valueTesting.m │ │ │ └── valueTestingBinary.m │ │ ├── @adchebfun2 │ │ │ └── adchebfun2.m │ │ ├── @ballfun │ │ │ ├── abs.m │ │ │ ├── ballfun.m │ │ │ ├── coeffs2vals.m │ │ │ ├── coeffs3.m │ │ │ ├── compose.m │ │ │ ├── conj.m │ │ │ ├── constructor.m │ │ │ ├── cos.m │ │ │ ├── cosh.m │ │ │ ├── diff.m │ │ │ ├── diskfun.m │ │ │ ├── disp.m │ │ │ ├── display.m │ │ │ ├── exp.m │ │ │ ├── feval.m │ │ │ ├── fevalm.m │ │ │ ├── get.m │ │ │ ├── grad.m │ │ │ ├── gradient.m │ │ │ ├── helmholtz.m │ │ │ ├── imag.m │ │ │ ├── integral.m │ │ │ ├── isempty.m │ │ │ ├── isequal.m │ │ │ ├── iszero.m │ │ │ ├── lap.m │ │ │ ├── laplacian.m │ │ │ ├── log.m │ │ │ ├── mean.m │ │ │ ├── mean2.m │ │ │ ├── mean3.m │ │ │ ├── minus.m │ │ │ ├── mrdivide.m │ │ │ ├── mtimes.m │ │ │ ├── norm.m │ │ │ ├── plot.m │ │ │ ├── plotcoeffs.m │ │ │ ├── plus.m │ │ │ ├── poisson.m │ │ │ ├── power.m │ │ │ ├── projectOntoBMCIII.m │ │ │ ├── real.m │ │ │ ├── rotate.m │ │ │ ├── sample.m │ │ │ ├── scan.m │ │ │ ├── simplify.m │ │ │ ├── sin.m │ │ │ ├── sinh.m │ │ │ ├── size.m │ │ │ ├── slice.m │ │ │ ├── solharm.m │ │ │ ├── spherefun.m │ │ │ ├── sqrt.m │ │ │ ├── subsref.m │ │ │ ├── sum.m │ │ │ ├── sum2.m │ │ │ ├── sum3.m │ │ │ ├── surf.m │ │ │ ├── tan.m │ │ │ ├── tanh.m │ │ │ ├── times.m │ │ │ ├── uminus.m │ │ │ ├── uplus.m │ │ │ ├── vals2coeffs.m │ │ │ ├── vertcat.m │ │ │ └── vscale.m │ │ ├── @ballfunv │ │ │ ├── HelmholtzDecomposition.m │ │ │ ├── PT2ballfunv.m │ │ │ ├── PTdecomposition.m │ │ │ ├── ballfunv.m │ │ │ ├── conj.m │ │ │ ├── cross.m │ │ │ ├── curl.m │ │ │ ├── disp.m │ │ │ ├── display.m │ │ │ ├── div.m │ │ │ ├── divergence.m │ │ │ ├── dot.m │ │ │ ├── feval.m │ │ │ ├── fevalm.m │ │ │ ├── get.m │ │ │ ├── imag.m │ │ │ ├── isempty.m │ │ │ ├── isequal.m │ │ │ ├── iszero.m │ │ │ ├── laplacian.m │ │ │ ├── minus.m │ │ │ ├── mrdivide.m │ │ │ ├── mtimes.m │ │ │ ├── norm.m │ │ │ ├── plus.m │ │ │ ├── power.m │ │ │ ├── quiver.m │ │ │ ├── quiver3.m │ │ │ ├── real.m │ │ │ ├── size.m │ │ │ ├── subsref.m │ │ │ ├── times.m │ │ │ ├── uminus.m │ │ │ └── uplus.m │ │ ├── @blockCoeff │ │ │ └── blockCoeff.m │ │ ├── @blockFunction │ │ │ ├── blockFunction.m │ │ │ ├── fred.m │ │ │ └── volt.m │ │ ├── @bndfun │ │ │ ├── bndfun.m │ │ │ ├── changeMap.m │ │ │ ├── circconv.m │ │ │ ├── compose.m │ │ │ ├── conv.m │ │ │ ├── createMap.m │ │ │ ├── cumsum.m │ │ │ ├── diff.m │ │ │ ├── feval.m │ │ │ ├── flipud.m │ │ │ ├── fracInt.m │ │ │ ├── innerProduct.m │ │ │ ├── make.m │ │ │ ├── mldivide.m │ │ │ ├── mrdivide.m │ │ │ ├── plotData.m │ │ │ ├── poly.m │ │ │ ├── qr.m │ │ │ ├── restrict.m │ │ │ └── sum.m │ │ ├── @chebcolloc │ │ │ ├── baryDiffMat.m │ │ │ ├── chebcolloc.m │ │ │ ├── compose.m │ │ │ ├── cumsum.m │ │ │ ├── diff.m │ │ │ ├── feval.m │ │ │ ├── fred.m │ │ │ ├── getExpmDimAdjust.m │ │ │ ├── inner.m │ │ │ ├── reduce.m │ │ │ ├── sum.m │ │ │ └── volt.m │ │ ├── @chebcolloc1 │ │ │ ├── chebcolloc1.m │ │ │ ├── equationPoints.m │ │ │ ├── functionPoints.m │ │ │ ├── toFunctionIn.m │ │ │ ├── toFunctionOut.m │ │ │ └── toValues.m │ │ ├── @chebcolloc2 │ │ │ ├── chebcolloc2.m │ │ │ ├── equationPoints.m │ │ │ ├── functionPoints.m │ │ │ ├── toFunctionIn.m │ │ │ ├── toFunctionOut.m │ │ │ └── toValues.m │ │ ├── @chebdouble │ │ │ └── chebdouble.m │ │ ├── @chebfun │ │ │ ├── abs.m │ │ │ ├── acos.m │ │ │ ├── acosd.m │ │ │ ├── acosh.m │ │ │ ├── acot.m │ │ │ ├── acotd.m │ │ │ ├── acoth.m │ │ │ ├── acsc.m │ │ │ ├── acscd.m │ │ │ ├── acsch.m │ │ │ ├── addBreaks.m │ │ │ ├── addBreaksAtRoots.m │ │ │ ├── airy.m │ │ │ ├── all.m │ │ │ ├── and.m │ │ │ ├── angle.m │ │ │ ├── any.m │ │ │ ├── arcLength.m │ │ │ ├── area.m │ │ │ ├── arrowplot.m │ │ │ ├── asec.m │ │ │ ├── asecd.m │ │ │ ├── asech.m │ │ │ ├── asin.m │ │ │ ├── asind.m │ │ │ ├── asinh.m │ │ │ ├── assignColumns.m │ │ │ ├── atan.m │ │ │ ├── atan2.m │ │ │ ├── atan2d.m │ │ │ ├── atand.m │ │ │ ├── atanh.m │ │ │ ├── besselh.m │ │ │ ├── besseli.m │ │ │ ├── besselj.m │ │ │ ├── besselk.m │ │ │ ├── bessely.m │ │ │ ├── bvp4c.m │ │ │ ├── bvp5c.m │ │ │ ├── cat.m │ │ │ ├── ceil.m │ │ │ ├── cell2quasi.m │ │ │ ├── cf.m │ │ │ ├── changeTech.m │ │ │ ├── cheb2cell.m │ │ │ ├── cheb2quasi.m │ │ │ ├── chebcoeffs.m │ │ │ ├── chebellipseplot.m │ │ │ ├── chebfun.m │ │ │ ├── chebpade.m │ │ │ ├── chebpoly.m │ │ │ ├── chebtune.m │ │ │ ├── circconv.m │ │ │ ├── comet.m │ │ │ ├── comet3.m │ │ │ ├── complex.m │ │ │ ├── compose.m │ │ │ ├── cond.m │ │ │ ├── conj.m │ │ │ ├── constructODEsol.m │ │ │ ├── constructor.m │ │ │ ├── conv.m │ │ │ ├── cos.m │ │ │ ├── cosd.m │ │ │ ├── cosh.m │ │ │ ├── cot.m │ │ │ ├── cotd.m │ │ │ ├── coth.m │ │ │ ├── cov.m │ │ │ ├── csc.m │ │ │ ├── cscd.m │ │ │ ├── csch.m │ │ │ ├── ctranspose.m │ │ │ ├── cummax.m │ │ │ ├── cummin.m │ │ │ ├── cumprod.m │ │ │ ├── cumsum.m │ │ │ ├── cylinder.m │ │ │ ├── dct.m │ │ │ ├── define.m │ │ │ ├── defineInterval.m │ │ │ ├── definePoint.m │ │ │ ├── deflationFun.m │ │ │ ├── deriv.m │ │ │ ├── diag.m │ │ │ ├── diff.m │ │ │ ├── dimCheck.m │ │ │ ├── dirac.m │ │ │ ├── disp.m │ │ │ ├── dispData.m │ │ │ ├── display.m │ │ │ ├── dlt.m │ │ │ ├── domain.m │ │ │ ├── domainCheck.m │ │ │ ├── dst.m │ │ │ ├── eigs.m │ │ │ ├── ellipj.m │ │ │ ├── ellipke.m │ │ │ ├── end.m │ │ │ ├── eq.m │ │ │ ├── erf.m │ │ │ ├── erfc.m │ │ │ ├── erfcinv.m │ │ │ ├── erfcx.m │ │ │ ├── erfinv.m │ │ │ ├── exp.m │ │ │ ├── expm.m │ │ │ ├── expm1.m │ │ │ ├── extractColumns.m │ │ │ ├── feval.m │ │ │ ├── fill.m │ │ │ ├── find.m │ │ │ ├── fix.m │ │ │ ├── fliplr.m │ │ │ ├── flipud.m │ │ │ ├── floor.m │ │ │ ├── fracDiff.m │ │ │ ├── fracInt.m │ │ │ ├── fred.m │ │ │ ├── fzero.m │ │ │ ├── gamma.m │ │ │ ├── ge.m │ │ │ ├── get.m │ │ │ ├── getRootsForBreaks.m │ │ │ ├── getValuesAtBreakpoints.m │ │ │ ├── gmres.m │ │ │ ├── gt.m │ │ │ ├── heaviside.m │ │ │ ├── horzcat.m │ │ │ ├── hscale.m │ │ │ ├── hypot.m │ │ │ ├── idct.m │ │ │ ├── idlt.m │ │ │ ├── idst.m │ │ │ ├── imag.m │ │ │ ├── innerProduct.m │ │ │ ├── integral.m │ │ │ ├── interp1.m │ │ │ ├── inufft.m │ │ │ ├── inv.m │ │ │ ├── isPeriodicTech.m │ │ │ ├── isQuasi.m │ │ │ ├── isdelta.m │ │ │ ├── isempty.m │ │ │ ├── isequal.m │ │ │ ├── isfinite.m │ │ │ ├── ishappy.m │ │ │ ├── isinf.m │ │ │ ├── isnan.m │ │ │ ├── isreal.m │ │ │ ├── issing.m │ │ │ ├── iszero.m │ │ │ ├── jaccoeffs.m │ │ │ ├── join.m │ │ │ ├── jump.m │ │ │ ├── kron.m │ │ │ ├── lagrange.m │ │ │ ├── ldivide.m │ │ │ ├── le.m │ │ │ ├── legcoeffs.m │ │ │ ├── length.m │ │ │ ├── log.m │ │ │ ├── log10.m │ │ │ ├── log1p.m │ │ │ ├── log2.m │ │ │ ├── logical.m │ │ │ ├── loglog.m │ │ │ ├── lt.m │ │ │ ├── lu.m │ │ │ ├── mat2cell.m │ │ │ ├── max.m │ │ │ ├── mean.m │ │ │ ├── measure.m │ │ │ ├── merge.m │ │ │ ├── mesh.m │ │ │ ├── min.m │ │ │ ├── minandmax.m │ │ │ ├── minus.m │ │ │ ├── mldivide.m │ │ │ ├── mod.m │ │ │ ├── movie.m │ │ │ ├── mpower.m │ │ │ ├── mrdivide.m │ │ │ ├── mtimes.m │ │ │ ├── nchoosek.m │ │ │ ├── ndct.m │ │ │ ├── ne.m │ │ │ ├── newDomain.m │ │ │ ├── nextpow2.m │ │ │ ├── norm.m │ │ │ ├── normal.m │ │ │ ├── normest.m │ │ │ ├── not.m │ │ │ ├── nufft.m │ │ │ ├── nufft2.m │ │ │ ├── null.m │ │ │ ├── num2cell.m │ │ │ ├── numColumns.m │ │ │ ├── ode113.m │ │ │ ├── ode15s.m │ │ │ ├── ode45.m │ │ │ ├── odesol.m │ │ │ ├── or.m │ │ │ ├── orth.m │ │ │ ├── overlap.m │ │ │ ├── parsePlotStyle.m │ │ │ ├── pchip.m │ │ │ ├── pde15s.m │ │ │ ├── pde23t.m │ │ │ ├── pdeSolve.m │ │ │ ├── permute.m │ │ │ ├── pinv.m │ │ │ ├── plot.m │ │ │ ├── plot3.m │ │ │ ├── plotData.m │ │ │ ├── plotcoeffs.m │ │ │ ├── plotregion.m │ │ │ ├── plus.m │ │ │ ├── poly.m │ │ │ ├── polyfit.m │ │ │ ├── polyfitL1.m │ │ │ ├── polyval.m │ │ │ ├── pow2.m │ │ │ ├── power.m │ │ │ ├── prod.m │ │ │ ├── qr.m │ │ │ ├── quad.m │ │ │ ├── quantumstates.m │ │ │ ├── quasi2cheb.m │ │ │ ├── range.m │ │ │ ├── rank.m │ │ │ ├── rdivide.m │ │ │ ├── real.m │ │ │ ├── reallog.m │ │ │ ├── realpow.m │ │ │ ├── realsqrt.m │ │ │ ├── rem.m │ │ │ ├── remez.m │ │ │ ├── removeDeltas.m │ │ │ ├── repmat.m │ │ │ ├── resetPointValues.m │ │ │ ├── residue.m │ │ │ ├── restrict.m │ │ │ ├── roots.m │ │ │ ├── round.m │ │ │ ├── sample.m │ │ │ ├── sec.m │ │ │ ├── secd.m │ │ │ ├── sech.m │ │ │ ├── semilogx.m │ │ │ ├── semilogy.m │ │ │ ├── sign.m │ │ │ ├── simplify.m │ │ │ ├── sin.m │ │ │ ├── sinc.m │ │ │ ├── sind.m │ │ │ ├── sinh.m │ │ │ ├── size.m │ │ │ ├── sound.m │ │ │ ├── spline.m │ │ │ ├── spy.m │ │ │ ├── sqrt.m │ │ │ ├── std.m │ │ │ ├── subsasgn.m │ │ │ ├── subspace.m │ │ │ ├── subsref.m │ │ │ ├── sum.m │ │ │ ├── surf.m │ │ │ ├── surface.m │ │ │ ├── surfc.m │ │ │ ├── svd.m │ │ │ ├── tan.m │ │ │ ├── tand.m │ │ │ ├── tanh.m │ │ │ ├── thresholdBreakpointValues.m │ │ │ ├── times.m │ │ │ ├── tolUnion.m │ │ │ ├── tolUnique.m │ │ │ ├── transpose.m │ │ │ ├── trigcoeffs.m │ │ │ ├── trigpade.m │ │ │ ├── trigremez.m │ │ │ ├── truncate.m │ │ │ ├── tweakDomain.m │ │ │ ├── uminus.m │ │ │ ├── unwrap.m │ │ │ ├── update.m │ │ │ ├── uplus.m │ │ │ ├── vander.m │ │ │ ├── var.m │ │ │ ├── vertcat.m │ │ │ ├── volt.m │ │ │ ├── vscale.m │ │ │ ├── waterfall.m │ │ │ ├── whichInterval.m │ │ │ ├── why.m │ │ │ └── xor.m │ │ ├── @chebfun2 │ │ │ ├── abs.m │ │ │ ├── biharm.m │ │ │ ├── biharmonic.m │ │ │ ├── cdr.m │ │ │ ├── chebcoeffs2.m │ │ │ ├── chebfun2.m │ │ │ ├── chebpolyplot.m │ │ │ ├── chebpolyplot2.m │ │ │ ├── chebpolyval2.m │ │ │ ├── chebpts2.m │ │ │ ├── chol.m │ │ │ ├── coeffs2.m │ │ │ ├── coeffs2vals.m │ │ │ ├── complex.m │ │ │ ├── compose.m │ │ │ ├── conj.m │ │ │ ├── constructor.m │ │ │ ├── contour.m │ │ │ ├── contour3.m │ │ │ ├── contourf.m │ │ │ ├── cos.m │ │ │ ├── cosh.m │ │ │ ├── ctranspose.m │ │ │ ├── cumprod.m │ │ │ ├── cumsum.m │ │ │ ├── cumsum2.m │ │ │ ├── dblquad.m │ │ │ ├── diag.m │ │ │ ├── diff.m │ │ │ ├── diffx.m │ │ │ ├── diffy.m │ │ │ ├── discriminant.m │ │ │ ├── disp.m │ │ │ ├── display.m │ │ │ ├── domainCheck.m │ │ │ ├── domainarea.m │ │ │ ├── eig.m │ │ │ ├── ellipsoid.m │ │ │ ├── exp.m │ │ │ ├── explain.m │ │ │ ├── feval.m │ │ │ ├── fevalm.m │ │ │ ├── flipdim.m │ │ │ ├── fliplr.m │ │ │ ├── flipud.m │ │ │ ├── fred.m │ │ │ ├── get.m │ │ │ ├── grad.m │ │ │ ├── gradient.m │ │ │ ├── horzcat.m │ │ │ ├── imag.m │ │ │ ├── integral.m │ │ │ ├── integral2.m │ │ │ ├── isPeriodicTech.m │ │ │ ├── isempty.m │ │ │ ├── isequal.m │ │ │ ├── isreal.m │ │ │ ├── iszero.m │ │ │ ├── jacobian.m │ │ │ ├── lap.m │ │ │ ├── laplacian.m │ │ │ ├── ldivide.m │ │ │ ├── length.m │ │ │ ├── log.m │ │ │ ├── lu.m │ │ │ ├── max.m │ │ │ ├── max2.m │ │ │ ├── mean.m │ │ │ ├── mean2.m │ │ │ ├── median.m │ │ │ ├── mesh.m │ │ │ ├── min.m │ │ │ ├── min2.m │ │ │ ├── minandmax2.m │ │ │ ├── minandmax2est.m │ │ │ ├── minus.m │ │ │ ├── mldivide.m │ │ │ ├── mrdivide.m │ │ │ ├── mtimes.m │ │ │ ├── norm.m │ │ │ ├── normalizePivots.m │ │ │ ├── normalizeRowsAndCols.m │ │ │ ├── outerProduct.m │ │ │ ├── paduaVals2coeffs.m │ │ │ ├── pivotplot.m │ │ │ ├── pivots.m │ │ │ ├── plot.m │ │ │ ├── plotcoeffs.m │ │ │ ├── plotcoeffs2.m │ │ │ ├── plus.m │ │ │ ├── poisson.m │ │ │ ├── pol2cart.m │ │ │ ├── poldec.m │ │ │ ├── potential.m │ │ │ ├── power.m │ │ │ ├── prod.m │ │ │ ├── qr.m │ │ │ ├── quad2d.m │ │ │ ├── quiver.m │ │ │ ├── quiver3.m │ │ │ ├── rank.m │ │ │ ├── rdivide.m │ │ │ ├── real.m │ │ │ ├── restrict.m │ │ │ ├── roots.m │ │ │ ├── sample.m │ │ │ ├── sampleTest.m │ │ │ ├── simplify.m │ │ │ ├── sin.m │ │ │ ├── singleSignTest.m │ │ │ ├── sinh.m │ │ │ ├── size.m │ │ │ ├── sph2cart.m │ │ │ ├── sphere.m │ │ │ ├── sqrt.m │ │ │ ├── squeeze.m │ │ │ ├── std.m │ │ │ ├── std2.m │ │ │ ├── subsref.m │ │ │ ├── sum.m │ │ │ ├── sum2.m │ │ │ ├── sumdisk.m │ │ │ ├── surf.m │ │ │ ├── surface.m │ │ │ ├── surfacearea.m │ │ │ ├── svd.m │ │ │ ├── tan.m │ │ │ ├── tand.m │ │ │ ├── tanh.m │ │ │ ├── times.m │ │ │ ├── trace.m │ │ │ ├── transpose.m │ │ │ ├── uminus.m │ │ │ ├── uplus.m │ │ │ ├── vals2coeffs.m │ │ │ ├── vertcat.m │ │ │ ├── volt.m │ │ │ ├── vscale.m │ │ │ └── waterfall.m │ │ ├── @chebfun2v │ │ │ ├── chebfun2v.m │ │ │ ├── coeffs2.m │ │ │ ├── coeffs2chebfun2v.m │ │ │ ├── coeffs2vals.m │ │ │ ├── compose.m │ │ │ ├── conj.m │ │ │ ├── cross.m │ │ │ ├── ctranspose.m │ │ │ ├── curl.m │ │ │ ├── diff.m │ │ │ ├── diffx.m │ │ │ ├── diffy.m │ │ │ ├── disp.m │ │ │ ├── display.m │ │ │ ├── div.m │ │ │ ├── divergence.m │ │ │ ├── divgrad.m │ │ │ ├── dot.m │ │ │ ├── feval.m │ │ │ ├── get.m │ │ │ ├── horzcat.m │ │ │ ├── imag.m │ │ │ ├── integral.m │ │ │ ├── isPeriodicTech.m │ │ │ ├── isempty.m │ │ │ ├── isreal.m │ │ │ ├── jacobian.m │ │ │ ├── laplacian.m │ │ │ ├── ldivide.m │ │ │ ├── minandmax2est.m │ │ │ ├── minus.m │ │ │ ├── mldivide.m │ │ │ ├── mrdivide.m │ │ │ ├── mtimes.m │ │ │ ├── norm.m │ │ │ ├── normal.m │ │ │ ├── ode45.m │ │ │ ├── plus.m │ │ │ ├── power.m │ │ │ ├── quiver.m │ │ │ ├── quiver3.m │ │ │ ├── rdivide.m │ │ │ ├── real.m │ │ │ ├── roots.m │ │ │ ├── size.m │ │ │ ├── subsref.m │ │ │ ├── surf.m │ │ │ ├── times.m │ │ │ ├── transpose.m │ │ │ ├── uminus.m │ │ │ ├── uplus.m │ │ │ ├── vals2coeffs.m │ │ │ ├── vertcat.m │ │ │ └── vscale.m │ │ ├── @chebfun3 │ │ │ ├── .dropbox.attr │ │ │ ├── abs.m │ │ │ ├── biharm.m │ │ │ ├── biharmonic.m │ │ │ ├── chebcoeffs3.m │ │ │ ├── chebfun3.m │ │ │ ├── chebfun3f.m │ │ │ ├── chebpolyval3.m │ │ │ ├── coeffs2vals.m │ │ │ ├── coeffs3.m │ │ │ ├── complex.m │ │ │ ├── compose.m │ │ │ ├── conj.m │ │ │ ├── constructor.m │ │ │ ├── coreplot.m │ │ │ ├── cos.m │ │ │ ├── cosh.m │ │ │ ├── cumsum.m │ │ │ ├── cumsum2.m │ │ │ ├── cumsum3.m │ │ │ ├── diff.m │ │ │ ├── diffx.m │ │ │ ├── diffy.m │ │ │ ├── diffz.m │ │ │ ├── discreteHOSVD.m │ │ │ ├── disp.m │ │ │ ├── display.m │ │ │ ├── domainCheck.m │ │ │ ├── domainvolume.m │ │ │ ├── exp.m │ │ │ ├── feval.m │ │ │ ├── fevalt.m │ │ │ ├── fold.m │ │ │ ├── get.m │ │ │ ├── grad.m │ │ │ ├── gradient.m │ │ │ ├── hosvd.m │ │ │ ├── imag.m │ │ │ ├── integral.m │ │ │ ├── integral2.m │ │ │ ├── integral3.m │ │ │ ├── isPeriodicTech.m │ │ │ ├── isempty.m │ │ │ ├── isequal.m │ │ │ ├── isosurface.fig │ │ │ ├── isosurface.m │ │ │ ├── isreal.m │ │ │ ├── iszero.m │ │ │ ├── jacobian.m │ │ │ ├── lap.m │ │ │ ├── laplacian.m │ │ │ ├── ldivide.m │ │ │ ├── length.m │ │ │ ├── log.m │ │ │ ├── max.m │ │ │ ├── max2.m │ │ │ ├── max3.m │ │ │ ├── mean.m │ │ │ ├── mean2.m │ │ │ ├── mean3.m │ │ │ ├── min.m │ │ │ ├── min2.m │ │ │ ├── min3.m │ │ │ ├── minandmax3.m │ │ │ ├── minandmax3est.m │ │ │ ├── minus.m │ │ │ ├── mldivide.m │ │ │ ├── mrdivide.m │ │ │ ├── mtimes.m │ │ │ ├── myind2sub.m │ │ │ ├── ndf.m │ │ │ ├── norm.m │ │ │ ├── normal.m │ │ │ ├── outerProd.m │ │ │ ├── permute.m │ │ │ ├── plot.m │ │ │ ├── plotcoeffs.m │ │ │ ├── plus.m │ │ │ ├── power.m │ │ │ ├── private │ │ │ │ ├── openFigInCurrentFigure.m │ │ │ │ ├── sampleTest.m │ │ │ │ └── singleSignTest.m │ │ │ ├── rank.m │ │ │ ├── rdivide.m │ │ │ ├── real.m │ │ │ ├── restrict.m │ │ │ ├── root.m │ │ │ ├── sample.m │ │ │ ├── scan.m │ │ │ ├── simplify.m │ │ │ ├── sin.m │ │ │ ├── sinh.m │ │ │ ├── size.m │ │ │ ├── slice.fig │ │ │ ├── slice.m │ │ │ ├── sqrt.m │ │ │ ├── squeeze.m │ │ │ ├── std.m │ │ │ ├── std2.m │ │ │ ├── std3.m │ │ │ ├── subsref.m │ │ │ ├── sum.m │ │ │ ├── sum2.m │ │ │ ├── sum3.m │ │ │ ├── surf.fig │ │ │ ├── surf.m │ │ │ ├── tan.m │ │ │ ├── tand.m │ │ │ ├── tanh.m │ │ │ ├── times.m │ │ │ ├── tucker.m │ │ │ ├── txm.m │ │ │ ├── uminus.m │ │ │ ├── unfold.m │ │ │ ├── uplus.m │ │ │ ├── vals2coeffs.m │ │ │ ├── vertcat.m │ │ │ └── vscale.m │ │ ├── @chebfun3t │ │ │ ├── chebfun3t.m │ │ │ ├── coeffs2vals.m │ │ │ ├── constructor.m │ │ │ ├── cos.m │ │ │ ├── cosh.m │ │ │ ├── display.m │ │ │ ├── domainCheck.m │ │ │ ├── exp.m │ │ │ ├── feval.m │ │ │ ├── fold.m │ │ │ ├── get.m │ │ │ ├── isempty.m │ │ │ ├── ldivide.m │ │ │ ├── length.m │ │ │ ├── minus.m │ │ │ ├── mldivide.m │ │ │ ├── mtimes.m │ │ │ ├── ndf.m │ │ │ ├── norm.m │ │ │ ├── plotcoeffs.m │ │ │ ├── plus.m │ │ │ ├── power.m │ │ │ ├── rdivide.m │ │ │ ├── sampleTest.m │ │ │ ├── sin.m │ │ │ ├── sinh.m │ │ │ ├── subsref.m │ │ │ ├── sum3.m │ │ │ ├── tan.m │ │ │ ├── tand.m │ │ │ ├── tanh.m │ │ │ ├── times.m │ │ │ ├── txm.m │ │ │ ├── uminus.m │ │ │ ├── unfold.m │ │ │ ├── vals2coeffs.m │ │ │ └── vertscale.m │ │ ├── @chebfun3v │ │ │ ├── chebfun3v.m │ │ │ ├── compose.m │ │ │ ├── conj.m │ │ │ ├── cross.m │ │ │ ├── ctranspose.m │ │ │ ├── curl.m │ │ │ ├── diff.m │ │ │ ├── diffx.m │ │ │ ├── diffy.m │ │ │ ├── diffz.m │ │ │ ├── disp.m │ │ │ ├── display.m │ │ │ ├── div.m │ │ │ ├── divergence.m │ │ │ ├── divgrad.m │ │ │ ├── dot.m │ │ │ ├── feval.m │ │ │ ├── get.m │ │ │ ├── horzcat.m │ │ │ ├── imag.m │ │ │ ├── integral.m │ │ │ ├── integral2.m │ │ │ ├── isPeriodicTech.m │ │ │ ├── isempty.m │ │ │ ├── isreal.m │ │ │ ├── jacobian.m │ │ │ ├── lap.m │ │ │ ├── laplacian.m │ │ │ ├── ldivide.m │ │ │ ├── minandmax3est.m │ │ │ ├── minus.m │ │ │ ├── mldivide.m │ │ │ ├── mrdivide.m │ │ │ ├── mtimes.m │ │ │ ├── norm.m │ │ │ ├── plus.m │ │ │ ├── power.m │ │ │ ├── quiver3.m │ │ │ ├── rdivide.m │ │ │ ├── real.m │ │ │ ├── root.m │ │ │ ├── roots.m │ │ │ ├── size.m │ │ │ ├── subsref.m │ │ │ ├── times.m │ │ │ ├── transpose.m │ │ │ ├── uminus.m │ │ │ ├── uplus.m │ │ │ ├── vertcat.m │ │ │ └── vscale.m │ │ ├── @chebfunpref │ │ │ └── chebfunpref.m │ │ ├── @chebgui │ │ │ ├── bcReform.m │ │ │ ├── chebgui.m │ │ │ ├── constructInit.m │ │ │ ├── demo.m │ │ │ ├── demo2chebgui.m │ │ │ ├── display.m │ │ │ ├── displayBVPinfo.m │ │ │ ├── displayIVPinfo.m │ │ │ ├── isIVPorFVP.m │ │ │ ├── set.m │ │ │ ├── setupFields.m │ │ │ ├── setupODEoptions.m │ │ │ ├── show.m │ │ │ ├── solve.m │ │ │ ├── solveGUI.m │ │ │ ├── solveGUIbvp.m │ │ │ └── solveGUIeig.m │ │ ├── ATAPformats.m │ │ ├── CONTRIBUTING.md │ │ ├── Contents.m │ │ ├── LICENSE.txt │ │ ├── ODEformats.m │ │ ├── README.md │ │ ├── VAeval.m │ │ ├── VAorthog.m │ │ ├── aaa.m │ │ ├── aaatrig.m │ │ ├── abstractQR.m │ │ ├── bary.m │ │ ├── baryWeights.m │ │ ├── barymat.m │ │ ├── besselroots.m │ │ ├── blowup.m │ │ ├── cheb2jac.m │ │ ├── cheb2leg.m │ │ ├── cheb2logo.m │ │ ├── chebcoeffs2chebvals.m │ │ ├── chebcoeffs2legcoeffs.m │ │ ├── chebcoeffs2legvals.m │ │ ├── chebfun2eps.m │ │ ├── chebfun3eps.m │ │ ├── chebfuneps.m │ │ ├── chebfunroot.m │ │ ├── chebguiEdit.fig │ │ ├── chebguiEdit.m │ │ ├── chebguiWindow.fig │ │ ├── chebguiWindow.m │ │ ├── chebkind.m │ │ ├── cheblogo.m │ │ ├── chebpoly.m │ │ ├── chebpolyplot.m │ │ ├── chebpolyval.m │ │ ├── chebpolyvalm.m │ │ ├── chebpts.m │ │ ├── chebpts2.m │ │ ├── chebpts3.m │ │ ├── chebsnake.m │ │ ├── chebsnake2.m │ │ ├── chebtest.m │ │ ├── chebvals2chebcoeffs.m │ │ ├── chebvals2chebvals.m │ │ ├── chebvals2legcoeffs.m │ │ ├── chebvals2legvals.m │ │ ├── chebvar.m │ │ ├── conformal.m │ │ ├── conformal2.m │ │ ├── cumsummat.m │ │ ├── dfsroot.m │ │ ├── dfstest.m │ │ ├── diffbarytrig.m │ │ ├── diffmat.m │ │ ├── diffrow.m │ │ ├── explain.m │ │ ├── fov.m │ │ ├── gammaratio.m │ │ ├── gpr.m │ │ ├── gridsample.m │ │ ├── hermpoly.m │ │ ├── hermpts.m │ │ ├── intmat.m │ │ ├── introw.m │ │ ├── isSubset.m │ │ ├── jac2cheb.m │ │ ├── jac2jac.m │ │ ├── jacpoly.m │ │ ├── jacpts.m │ │ ├── lagpoly.m │ │ ├── lagpts.m │ │ ├── lebesgue.m │ │ ├── leg2cheb.m │ │ ├── legcoeffs2chebcoeffs.m │ │ ├── legcoeffs2chebvals.m │ │ ├── legcoeffs2legvals.m │ │ ├── legpoly.m │ │ ├── legpts.m │ │ ├── legvals2chebcoeffs.m │ │ ├── legvals2chebvals.m │ │ ├── legvals2legcoeffs.m │ │ ├── lobpts.m │ │ ├── minimax.m │ │ ├── outerProd.m │ │ ├── padeapprox.m │ │ ├── paduapts.m │ │ ├── pdeset.m │ │ ├── phaseplot.m │ │ ├── prz.m │ │ ├── prztrig.m │ │ ├── pswf.m │ │ ├── pswfpts.m │ │ ├── quasimatrix.m │ │ ├── radaupts.m │ │ ├── randnfun.m │ │ ├── randnfun2.m │ │ ├── randnfundisk.m │ │ ├── randnfunsphere.m │ │ ├── ratinterp.m │ │ ├── resampling.m │ │ ├── reval.m │ │ ├── revaltrig.m │ │ ├── scribble.m │ │ ├── scribble2.m │ │ ├── seedRNG.m │ │ ├── sing.m │ │ ├── smoothie.m │ │ ├── spin.m │ │ ├── spin2.m │ │ ├── spin3.m │ │ ├── spincomp.m │ │ ├── spinsphere.m │ │ ├── splitting.m │ │ ├── standardChop.m │ │ ├── trigBary.m │ │ ├── trigBaryWeights.m │ │ ├── trigdouble.m │ │ ├── trigpoly.m │ │ ├── trigpts.m │ │ ├── trigratinterp.m │ │ ├── ultra2ultra.m │ │ ├── ultracoeffs.m │ │ ├── ultrapoly.m │ │ └── ultrapts.m │ │ └── gen_Burgers.m ├── Burgers_1d │ ├── run_FNO&UNet.py │ ├── run_Trans.py │ ├── run_deepONet+PINN.py │ └── transformer_config.yml ├── Cylinder_2d │ └── run_FNO&UNet.py ├── Darcy_2d │ ├── run_FNO&UNet.py │ ├── run_Trans.py │ ├── run_deepONet.py │ └── transformer_config.yml ├── DiffRec_1d+t │ ├── gen │ │ └── gen4pinn.py │ └── run_deepONet+PINN.py ├── Eikonal_2d │ └── run_deepONet+PINN.py ├── ElasticityComplex_2d │ ├── run_Graph.py │ └── utils.py ├── Elasticity_2d │ ├── run_FNO&UNet.py │ ├── run_Graph.py │ └── run_train_graph.py ├── Nanofluids-2d │ ├── __init__.py │ ├── run_.py │ ├── run_FNO&UNet.py │ └── run_demo.py ├── Pipe_2d │ ├── gen │ │ └── Pipe_Visual.ipynb │ ├── run_FNO&UNet.py │ ├── run_Graph.py │ └── run_train_graph.py ├── Rotor37_2d │ ├── draw_figure │ │ ├── Result_collect.py │ │ ├── Rotor37_figure │ │ │ └── grid_dots.py │ │ ├── draw_figure.py │ │ ├── draw_figure_SQL.py │ │ ├── draw_figure_pred.py │ │ ├── draw_figure_predSQL.py │ │ ├── draw_figure_true.py │ │ ├── draw_figure_trueSQL.py │ │ ├── draw_scalar.py │ │ ├── draw_sensitive.py │ │ ├── error_table.py │ │ ├── plot_all_model.py │ │ ├── plot_cumulate.py │ │ ├── plot_pie.py │ │ ├── read_pkl.py │ │ ├── saliency_map.py │ │ ├── transformer_config.yml │ │ ├── transformer_config_sql.yml │ │ └── utilizes_draw.py │ ├── optimization │ │ ├── CFD_verify.py │ │ ├── EPM_optmization_tasks.yml │ │ ├── EPM_optmization_tasks_20230630.yml │ │ ├── EPM_optmization_tasks_20230702.yml │ │ ├── EPM_optmization_tasks_20230703.yml │ │ ├── REF_verify.py │ │ ├── nograd_optimizer.py │ │ ├── nograd_optimizer_mult_object.py │ │ ├── optimal_rst.py │ │ ├── optimization_process.py │ │ ├── plot_pareto.py │ │ ├── pymoo_multi_obj.py │ │ └── pymoo_optimizer.py │ ├── post_process │ │ ├── generate_set_get.py │ │ ├── get_norm_Rst.py │ │ ├── input_select.py │ │ ├── load_model.py │ │ ├── model_predict.py │ │ ├── post_data.py │ │ ├── save_pred.py │ │ ├── scalar_value.py │ │ └── sensitive_analysis.py │ ├── run_FNO.py │ ├── run_FNO_multi.py │ ├── run_MLP.py │ ├── run_Trans_.py │ ├── run_UNet.py │ ├── run_deepONet.py │ ├── sample_generate │ │ ├── Auto_Numeca.py │ │ ├── NumecaPyTemplate │ │ │ ├── get_span.tpl │ │ │ ├── set_computations.tpl │ │ │ ├── set_iec.tpl │ │ │ ├── set_mesh_level.tpl │ │ │ └── set_mesh_level_multi_blade.tpl │ │ ├── Numeca_Project.py │ │ ├── ReadStageFile.py │ │ ├── Read_Numeca.py │ │ ├── Read_span_data.py │ │ ├── calculateFromStage.py │ │ ├── fine.py │ │ ├── mesh_dependence.py │ │ ├── npy2mat.py │ │ └── off_design_condition.py │ ├── surrogate_compare │ │ ├── GPR_new.py │ │ ├── GPR_old.py │ │ ├── GaussProcess.py │ │ ├── MLP.py │ │ ├── SupportVR.py │ │ ├── XGBoost.py │ │ └── ploynomial.py │ ├── train_model │ │ ├── adjust_FNM.py │ │ ├── adjust_FNO.py │ │ ├── adjust_MLP.py │ │ ├── adjust_Trans.py │ │ ├── adjust_UNet.py │ │ ├── adjust_deepONet.py │ │ ├── adjust_noise.py.py │ │ ├── adjust_noise2.py.py │ │ ├── model_whole_life.py │ │ └── ts_optuna.py │ ├── transformer_config.yml │ ├── utilizes_rotor37.py │ └── 记录文件.txt ├── SolidHeat_2d │ ├── ANN_data.py │ ├── ANN_model.py │ ├── GCN_data.py │ ├── GCN_model.py │ ├── plot_error.py │ ├── plot_tec.py │ ├── plot_variables_aero.py │ ├── plot_variables_aero_ljx.py │ ├── plot_variables_mat.py │ ├── plot_variables_unsteady.py │ ├── plot_variables_unsteady_ljx.py │ ├── run_GCN_reg_ljx.py │ └── visual_data.py ├── Standard_BladeFlutter_3d+t │ └── run_.py ├── TopoOpt │ ├── gen_function.asv │ └── gen_function.m ├── Turbulence_2d+t │ ├── run_FNO&UNet.py │ ├── run_GKN.py │ ├── run_Trans.py │ ├── run_statistics_FNO.py │ ├── run_statistics_Trans.py │ └── transformer_config.yml └── Turbulence_3d+t │ ├── FNO_HIT.py │ ├── FNO_config.yml │ ├── run_DistributedDataParallel.sh │ ├── run_infer.py │ ├── run_train_DDP.py │ ├── train_single.py │ ├── transformer_config.yml │ └── utilities3.py ├── LICENSE ├── Models ├── NeuralOperators.py ├── basic │ ├── _base_module.py │ └── basic_layers.py ├── cnn │ ├── ConvNets.py │ └── conv_layers.py ├── configs.py ├── don │ └── DeepONets.py ├── fno │ ├── FNOs.py │ └── spectral_layers.py ├── gnn │ ├── GraphNets.py │ ├── PointNets.py │ ├── graph_layers.py │ └── point_layers.py ├── pinn │ ├── Bayesian_util.py │ └── differ_layers.py └── transformer │ ├── Transformer_config.py │ ├── Transformers.py │ ├── Transformers_lyz.py │ └── attention_layers.py ├── README.md ├── Tasks ├── Optimizer.py └── configs.py ├── Utilizes ├── geometrics.py ├── loss_metrics.py ├── optim_Bayesian.py ├── parallel_run.py ├── process_data.py ├── util.py ├── visual_data.py └── work_space.py └── tests └── Utilizes └── work_space_test.py /.gitignore: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/tianshao1992/DENO4pytorch/HEAD/.gitignore -------------------------------------------------------------------------------- /Datasets/__init__.py: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/tianshao1992/DENO4pytorch/HEAD/Datasets/__init__.py -------------------------------------------------------------------------------- /Datasets/basic_data/DefineDatsets.py: -------------------------------------------------------------------------------- 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