├── .gitignore ├── 1dDFT └── 1dDFT.tex ├── Acknowledgements └── Acknowledgements.tex ├── Brusselator ├── Makefile ├── brusselator.f90 ├── getgrid.f90 ├── initialdata.f90 ├── linear.f90 ├── nonlinear1.f90 ├── nonlinear2.f90 └── savedata.f90 ├── CubicNonlinearSchrodinger ├── CubicNonlinearSchrodinger.tex └── Programs │ ├── LICENSE.txt │ ├── NLS1dFortran │ ├── NLSsplitting.f90 │ ├── makefile │ ├── makefileblacklight │ └── plotcreate.m │ ├── NLS2dFortran │ ├── NLSsplitting.f90 │ ├── fluxsubscript │ ├── makefile │ └── plotcreate.m │ ├── NLS2dFortranThreadFFT │ ├── NLSsplitting.f90 │ ├── makefile │ └── makefileblacklight │ ├── NLS3dFortran │ ├── NLSsplitting.f90 │ ├── makefile │ ├── makefileblacklight │ └── plotcreate.m │ ├── NLS3dFortranMPI │ ├── INPUTFILE │ ├── NLSsplitting.f90 │ ├── data │ │ └── INPUTFILE │ ├── makefile │ ├── makefileblacklight │ ├── plotcreate.m │ └── xdmfcreate.f90 │ ├── NLS3dFortranMPIParaView │ ├── Makefile.Nautilus │ ├── NLSadaptor.f90 │ ├── NLSsplitting.f90 │ ├── Nautilus-example.pbs │ ├── README │ ├── VTKCellBasedDataSet.cxx │ ├── data │ │ ├── tdata.dat │ │ ├── xcoord.dat │ │ ├── ycoord.dat │ │ └── zcoord.dat │ ├── pipeline_image.py │ └── pipeline_vtis.py │ ├── NLSsplitting1D.m │ ├── NLSsplitting1d16Order.m │ ├── NLSsplitting2D.m │ ├── NLSsplitting3D.m │ ├── ODEsplitting.m │ └── ODEsplittingStrang.m ├── ExamplesInMatlab ├── Allen_Cahn_2D_IE.jpg ├── Allen_Cahn_BE_1D.jpg ├── Allen_Cahn_IE_2D.jpg ├── ExamplesInMatlab.tex ├── Heat_Equation_1D_BE_Color.jpg └── Programs │ ├── Allen_Cahn_1D_Spectral_IE.m │ ├── Allen_Cahn_1D_Spectral_IMR.m │ ├── Allen_Cahn_2D_Spectral_IE.m │ ├── Allen_Cahn_2D_Spectral_IMR.m │ ├── BackwardEulerFixedPoint.m │ ├── BackwardEulerNewtonIteration.m │ ├── Heat_Eq_1D_Spectral_BE.m │ ├── Heat_Eq_1D_Spectral_FE.m │ ├── Heat_Eq_2D_Spectral_BE.m │ ├── Heat_Eq_2D_Spectral_FE.m │ └── LICENSE.txt ├── FindingDerivatives ├── .DS_Store ├── FindingDerivatives.aux ├── FindingDerivatives.log ├── FindingDerivatives.lyx ├── FindingDerivatives.tex └── Programs │ └── DispQuant.m ├── FinitePrecisionArithmetic └── FinitePrecisionArithmetic.tex ├── FortranPrograms ├── .DS_Store ├── FortranPrograms.aux ├── FortranPrograms.lyx ├── FortranPrograms.tex ├── Programs │ ├── FortranHeatEquation │ │ ├── fluxsubscript │ │ ├── heat.f90 │ │ ├── makefile │ │ ├── makefilecygwin │ │ └── plotcreate.m │ └── LICENSE.txt └── heatPlot.jpg ├── GiererMeinhardt └── GiererMeinhardt.f90 ├── GrayScott ├── GrayScott3d.m └── Programs │ ├── GrayScott.m │ ├── GrayScott3dMPI │ └── GrayScott.f90 │ └── OpenCL │ ├── INPUTFILE │ ├── README │ ├── data │ └── dummyfile.txt │ ├── frequencies.cl │ ├── gs_functions.c │ ├── initialdata.cl │ ├── linearpart.cl │ ├── main_gs.c │ ├── makefile │ ├── nonlinearpart_a.cl │ ├── nonlinearpart_b.cl │ └── xdmfcreate.f90 ├── IntroductionToParallelProgramming ├── IntroductionToParallelProgramming.tex └── Programs │ ├── Helloworld │ ├── fluxsubscript │ ├── helloworld.f90 │ ├── makefile │ └── makefileblacklight │ ├── HelloworldMpi │ ├── fluxsubscript │ ├── helloworld.f90 │ ├── makefile │ └── makefileblacklight │ ├── LICENSE.txt │ ├── MonteCarlo2d.m │ ├── MonteCarlo2dV2.m │ ├── RiemannSum.m │ ├── montecarloparallel │ ├── makefile │ ├── montecarloparallel.f90 │ └── trestlessubscript │ └── montecarloserial │ ├── .DS_Store │ ├── makefile │ ├── montecarloserial.f90 │ └── trestlessubscript ├── KleinGordon ├── KleinGordon.tex └── Programs │ ├── KleinGordon1D.m │ ├── KleinGordon1Dimp.m │ ├── KleinGordon2dThreadFFT │ ├── KgSemiImp2d.f90 │ ├── enercalc.f90 │ ├── fluxsubscript │ ├── getgrid.f90 │ ├── initialdata.f90 │ ├── makefile │ ├── makefileMuite │ ├── makefileblacklight │ ├── savedata.f90 │ ├── saveresults.f90 │ ├── storeold.f90 │ └── video.m │ ├── KleinGordon3Dsliceplot.m │ ├── KleinGordon3dMpiFFT │ ├── INPUTFILE │ ├── KgSemiImp3d.f90 │ ├── README │ ├── bovcreate.f90 │ ├── data │ │ └── INPUTFILE │ ├── enercalc.f90 │ ├── fluxsubscript │ ├── getgrid.f90 │ ├── initialdata.f90 │ ├── makefile │ ├── makefileMuite │ ├── makefileblacklight │ ├── makefilebov │ ├── makefileintrepid │ ├── readinputfile.f90 │ ├── savedata.f90 │ ├── saveresults.f90 │ ├── storeold.f90 │ ├── video.m │ └── xdmfcreate.f90 │ ├── KleinGordon3dMpiFFTParaView │ ├── INPUTFILE │ ├── KGadaptor.f90 │ ├── KgSemiImp3d.f90 │ ├── Makefile.Nautilus │ ├── Nautilus-example.pbs │ ├── README │ ├── VTKCellBasedDataSet.cxx │ ├── data │ │ └── INPUTFILE │ ├── en.dat │ ├── enercalc.f90 │ ├── enkin.dat │ ├── enpot.dat │ ├── enstr.dat │ ├── getgrid.f90 │ ├── initialdata.f90 │ ├── pipeline_images.py │ ├── pipeline_vtis.py │ ├── readinputfile.f90 │ ├── savedata.f90 │ ├── saveresults.f90 │ ├── storeold.f90 │ ├── tdata.dat │ ├── xcoord.dat │ ├── ycoord.dat │ └── zcoord.dat │ ├── KleinGordon3dThreadFFT │ ├── KgSemiImp3d.f90 │ ├── enercalc.f90 │ ├── fluxsubscript │ ├── getgrid.f90 │ ├── initialdata.f90 │ ├── makefile │ ├── makefileMuite │ ├── makefileblacklight │ ├── savedata.f90 │ ├── saveresults.f90 │ ├── storeold.f90 │ └── video.m │ ├── KleinGordon3dThreadFFTv2 │ ├── KgSemiImp3d.f90 │ ├── backwardfft.f90 │ ├── enercalc.f90 │ ├── fluxsubscript │ ├── forwardfft.f90 │ ├── getgrid.f90 │ ├── initialdata.f90 │ ├── makefile │ ├── makefileMuite │ ├── makefileblacklight │ ├── savedata.f90 │ ├── saveresults.f90 │ ├── storeold.f90 │ └── video.m │ ├── KleinGordonImp2Db.m │ └── LICENSE.txt ├── License ├── License.lyx └── License.tex ├── Magnetohydrodynamics └── Programs │ ├── Magnetohydrodynamics2D.m │ ├── Magnetohydrodynamics2D.py │ ├── Magnetohydrodynamics3D.m │ └── Magnetohydrodynamics3D.py ├── MotivationForNumericalMethods └── MotivationForNumericalMethods.tex ├── NavierStokes ├── NavierStokes.tex └── Programs │ ├── LICENSE.txt │ ├── NavierStokes2dFortran │ ├── fluxsubscript │ ├── makefile │ ├── navierstokes.f90 │ └── plotdata.m │ ├── NavierStokes3dFortran │ ├── NavierStokes3DfftIMR.f90 │ ├── makefile │ ├── plotdata.m │ └── savedata.f90 │ ├── NavierStokes3dFortranMPI │ ├── INPUTFILE │ ├── NavierStokes3DfftIMR.f90 │ ├── makefile │ ├── navierstokes.f90 │ ├── navierstokesCK4three5_3star.f90 │ ├── navierstokes_IMR.f90 │ ├── plotdata.m │ ├── savedata.f90 │ ├── trestlessubscript │ └── xdmfcreate.f90 │ ├── NavierStokes3dFortranMPIParaView │ ├── cell-based │ │ ├── Makefile.Nautilus │ │ ├── NSadaptor.f90 │ │ ├── Nautilus-example.pbs │ │ ├── NavierStokes3DfftIMR.f90 │ │ ├── README │ │ ├── VTKCellBasedDataSet.cxx │ │ ├── data │ │ │ ├── tdata.dat │ │ │ ├── xcoord.dat │ │ │ ├── ycoord.dat │ │ │ └── zcoord.dat │ │ ├── pipeline_images.py │ │ └── pipeline_vtis.py │ └── node-based │ │ ├── Makefile.Nautilus │ │ ├── NSadaptor.f90 │ │ ├── Nautilus-example.pbs │ │ ├── NavierStokes3DfftIMR.f90 │ │ ├── README │ │ ├── VTKPointBasedDataSet.cxx │ │ ├── data │ │ ├── tdata.dat │ │ ├── xcoord.dat │ │ ├── ycoord.dat │ │ └── zcoord.dat │ │ ├── pipeline.py │ │ ├── pipeline_images.py │ │ └── pipeline_vtis.py │ ├── NavierStokesCuFParaView │ ├── Forge-example.pbs │ ├── Makefile.Forge │ ├── README │ ├── navierstokes.cuf │ ├── ns2dcnVTKDataSet.cxx │ ├── ns2dcnadaptor.f90 │ └── pipeline.py │ ├── NavierStokesCuFVisIt │ ├── Makefile.Forge │ ├── navierstokes.cuf │ └── visitcallbacks.f90 │ ├── NewParaViewAPI │ ├── Makefile │ ├── NSadaptor.f90 │ ├── PointBasedDataSet.cxx │ ├── README │ └── navierstokes.f90 │ ├── NsMatlab3Dimr │ └── NavierStokes3DfftIMR.m │ ├── NsMatlabCn │ └── NavierStokes2DFFTCn.m │ └── NsPython3Dimr │ └── ThreeDNavierStokesIMR.py ├── NonlinearOdeAndIteration ├── NonlinearOdeAndIteration.tex └── Programs │ ├── BackwardEulerFixedPoint.m │ ├── BackwardEulerNewtonIteration.m │ └── LICENSE.txt ├── Overview └── Overview.tex ├── ParallelNumericalMethods.tex ├── ParallelNumericalMethods.toc ├── PythonPrograms ├── Programs │ ├── LICENSE.txt │ └── PythonCode │ │ ├── Allen_Cahn_2D_Spectral_IE.py │ │ ├── BackwardEulerFixedPoint.py │ │ ├── BackwardEulerNewtonIteration.py │ │ ├── Heat_Eq_1D_Spectral_BE.py │ │ ├── Heat_Eq_1D_Spectral_FE.py │ │ ├── KleinGordon1D.py │ │ ├── KleinGordon1Dimp.py │ │ ├── KleinGordon2D.py │ │ ├── KleinGordonImp2Db.py │ │ ├── KleinGordonImp3D.py │ │ ├── NLSsplitting1D.py │ │ ├── NLSsplitting2D.py │ │ ├── NLSsplitting3D.py │ │ ├── NavierStokes2DFFTCn.py │ │ ├── ODEsplitting.py │ │ ├── ODEsplittingStrang.py │ │ ├── Simple_ODE_Example_of_Unstable_FE.py │ │ └── matplotlibrc └── PythonPrograms.tex ├── README.md ├── SeparationOfVariables └── SeparationOfVariables.tex ├── SingleGPU ├── Programs │ ├── NLS │ │ ├── GPUacc │ │ │ ├── cubicNLS.f90 │ │ │ └── makefile │ │ ├── GPUcuda │ │ │ ├── .DS_Store │ │ │ ├── Makefile │ │ │ └── NLSsplitting.cu │ │ └── GPUcuf │ │ │ ├── Makefile │ │ │ └── cubicNLS.cuf │ ├── NS │ │ ├── .DS_Store │ │ ├── GPUacc │ │ │ ├── Makefile │ │ │ └── navierstokes.f90 │ │ ├── GPUcuda │ │ │ ├── Makefile │ │ │ └── navierstokes.cu │ │ └── GPUcuf │ │ │ ├── .DS_Store │ │ │ ├── Makefile │ │ │ └── navierstokes.cuf │ └── sineGordon │ │ ├── .DS_Store │ │ ├── GPUacc │ │ ├── Makefile │ │ ├── enercalc.f90 │ │ ├── getgrid.f90 │ │ ├── initialdata.f90 │ │ ├── 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