├── .DS_Store ├── .ipynb_checkpoints ├── Ch01 Birds eye view-checkpoint.ipynb ├── Ch02 Visualization-checkpoint.ipynb ├── Chapter 01 Original-checkpoint.ipynb └── Chapter 10 Original-checkpoint.ipynb ├── Ch01 Birds eye view.ipynb ├── Ch02 Visualization.ipynb ├── Ch03 Fast Computing.ipynb ├── Ch04 Kinematics.ipynb ├── Ch07 Lagrangian Transport.ipynb ├── Ch08 Operators.ipynb ├── Ch09 Laplacian And Diffusion.ipynb ├── Ch10 Non Linear Rheologies.ipynb ├── Ch11 Trees Particles Boundaries.ipynb ├── Example Ch02 3d Sphere Packing.ipynb ├── Example Ch05 Volcano.ipynb ├── README.md ├── Version Old Ch01.ipynb ├── Version Old Ch02.ipynb ├── Version Old Ch04 Original-saurav.ipynb ├── Version Old Ch07.ipynb ├── figures ├── .DS_Store ├── 1D-scaling-diffusion.pdf ├── 1d-kinematics-circular-motion.png ├── 1d-kinematics-derivatives.pdf ├── 1d-kinematics-derivatives.png ├── 1d-kinematics-integrals.pdf ├── 1d-kinematics-integrals.png ├── 1d-kinematics-projectile.png ├── 2d-bellsflow-comparison-backward.pdf ├── 2d-bellsflow-comparison-forward.pdf ├── 2d-bellsflow-continuity-cell-centered.pdf ├── 2d-bellsflow-continuity-weak.pdf ├── 2d-bellsflow-result.pdf ├── 2d-bellsflow-reversed.pdf ├── 2d-bellsflow-setup.pdf ├── 2d-rigid-rotation-result.pdf ├── 2d-rigid-rotation-reversed.pdf ├── 2d-rigid-rotation-setup.pdf ├── 3d-paraview-example.jpg ├── 5-points-stencils-normal-skewed.pdf ├── DemocraticHierarchicalStructure.jpg ├── FrontalFigureInstabilityOfDiapirs.png ├── Lagrangian-backward.pdf ├── Lagrangian-forward.pdf ├── Lagrangian-starting.pdf ├── LateralFigureInstabilityOfDiapirs.png ├── MORStress.jpg ├── MORTopography.jpg ├── MonteCarloVolcanoAround.pdf ├── MonteCarloVolcanoLandingvsSize.pdf ├── Mt_Vesuvius_Erupting.png ├── PPC-ManyParticles-0.pdf ├── PPC-ManyParticles-100.pdf ├── PPC-ManyParticles-150.pdf ├── PPC-ManyParticles-199.pdf ├── PPC-ManyParticles-50.pdf ├── ParticleTransport.pdf ├── Screenshot-Spyder.png ├── Stokes-Cylinder.afdesign ├── Stokes-Cylinder.png ├── Stokes-Flagella.afdesign ├── Stokes-Flagella.png ├── TemperatureDependentSubduction.png ├── Upwind-backward.pdf ├── Upwind-forward.pdf ├── Upwind-starting.pdf ├── biharmonic-solution.pdf ├── continuity-FD.pdf ├── continuity-sketch.pdf ├── densityManyParticles-0.pdf ├── densityManyParticles-100.pdf ├── densityManyParticles-150.pdf ├── densityManyParticles-199.pdf ├── densityManyParticles-50.pdf ├── densityManyParticlesStrong-0.pdf ├── densityManyParticlesStrong-34.pdf ├── densityManyParticlesStrong-35.pdf ├── densityManyParticlesStrong-50.pdf ├── densityManyParticlesStrong-Init.pdf ├── densityManyParticlesWeak-0.pdf ├── densityManyParticlesWeak-70.pdf ├── densityWeakParticles-0.pdf ├── densityWeakParticles-100.pdf ├── densityWeakParticles-150.pdf ├── densityWeakParticles-199.pdf ├── densityWeakParticles-50.pdf ├── energiesDrop-zoom.pdf ├── energiesDrop.pdf ├── finite-volume-sketch.pdf ├── finiteVolume.pdf ├── finiteVolumeNew.pdf ├── flyingDrop-2D.pdf ├── flyingDrop.pdf ├── fullStokesOperator-pressure.pdf ├── fullStokesOperator-solution.pdf ├── gridd.jpg ├── gridd1.jpg ├── gridd2.jpg ├── gyroscope-3D-noCorrection.pdf ├── gyroscope-3D.pdf ├── influenceMatrix.pdf ├── inverseDiffusionMatrixR1.pdf ├── inverseDiffusionMatrixR100.pdf ├── lagrangianAdvection-80.pdf ├── lagrangianAdvectionOfAField-80.pdf ├── largeScale-threeAdvectionSchemes.pdf ├── left-3d-matplotlib.pdf ├── left-LOD-ch1.pdf ├── left-LOD-ch1.png ├── left-matplotlib-example.png ├── left-matplotlib.pdf ├── linearDataFit-TF.pdf ├── mesh.webp ├── meshgrid.png ├── myHashKeyTree.pdf ├── paraview-Spiraling-Sphere.png ├── paraview-snapshot.png ├── particleNormalStress.jpg ├── particlevector.jpg ├── plotOverGlobalMap.pdf ├── position1.jpg ├── pressureManyParticles-0.pdf ├── pressureManyParticles-100.pdf ├── pressureManyParticles-150.pdf ├── pressureManyParticles-199.pdf ├── pressureManyParticles-50.pdf ├── pressureManyParticlesStrong-0.pdf ├── pressureManyParticlesStrong-34.pdf ├── pressureManyParticlesStrong-35.pdf ├── pressureManyParticlesStrong-50.pdf ├── pressureManyParticlesStrong-Init.pdf ├── pressureManyParticlesWeak-0.pdf ├── pressureManyParticlesWeak-70.pdf ├── pressureWeakParticles-0.pdf ├── pressureWeakParticles-100.pdf ├── pressureWeakParticles-150.pdf ├── pressureWeakParticles-199.pdf ├── pressureWeakParticles-50.pdf ├── projectile156.gif ├── quadraticTriangulation.pdf ├── random-matrix-determinant.pdf ├── random-matrix-normalDistribution.pdf ├── readme.txt ├── regular-mesh-dots.png ├── right-3d-matplotlib.pdf ├── right-3d-matplotlib.png ├── right-LOD-ch1.pdf ├── right-matplotlib-example.png ├── right-matplotlib.pdf ├── rigidrotation.jpg ├── sectionInverseDiffusionMatrixR1.pdf ├── sectionInverseDiffusionMatrixR100.pdf ├── segmented-fault-3D.png ├── setup-half-planet-2.jpg ├── sketch-stress-tractions.pdf ├── smallScale-threeAdvectionSchemes.pdf ├── spherePackingExample.jpg ├── spphys.bst ├── stableSinusoidalDiffusion.pdf ├── staggered-grid-continuity-sketch.gif ├── strainRates-FD.pdf ├── testConvection-0.jpg ├── testConvection-100.jpg ├── testConvection-150.jpg ├── testConvection-200.jpg ├── testConvection-50.jpg ├── topographyMatPlotLib.pdf ├── unstableSinusoidalDiffusion.pdf ├── upwind2.gif ├── velocityDefinitions.pdf ├── warren-salmon-tree.jpg └── weightProjection.pdf └── saurav ├── Chapter 01 Original.ipynb ├── Chapter 02 Original.ipynb ├── Chapter 03 Original-saurav.ipynb ├── Chapter 04 Original-saurav.ipynb ├── figures ├── FrontalFigureInstabilityOfDiapirs.png ├── Lagrangian-backward.pdf ├── Lagrangian-forward.pdf ├── Lagrangian-starting.pdf ├── LateralFigureInstabilityOfDiapirs.png ├── MORStress.jpg ├── MORTopography.jpg ├── MonteCarloVolcanoAround.pdf ├── MonteCarloVolcanoLandingvsSize.pdf ├── Mt_Vesuvius_Erupting.png ├── PPC-ManyParticles-0.pdf ├── PPC-ManyParticles-100.pdf ├── PPC-ManyParticles-150.pdf ├── PPC-ManyParticles-199.pdf ├── PPC-ManyParticles-50.pdf ├── ParticleTransport.pdf ├── Screenshot-Spyder.png ├── Stokes-Cylinder.afdesign ├── Stokes-Cylinder.png ├── Stokes-Flagella.afdesign ├── Stokes-Flagella.png ├── TemperatureDependentSubduction.png ├── Upwind-backward.pdf ├── Upwind-forward.pdf ├── Upwind-starting.pdf ├── finite-volume-sketch.pdf ├── flyingDrop-2D.pdf ├── flyingDrop.pdf ├── fullStokesOperator-pressure.pdf ├── fullStokesOperator-solution.pdf ├── gridd.jpg ├── gyroscope-3D-noCorrection.pdf ├── gyroscope-3D.pdf ├── influenceMatrix.pdf ├── inverseDiffusionMatrixR1.pdf ├── inverseDiffusionMatrixR100.pdf ├── lagrangianAdvection-80.pdf ├── lagrangianAdvectionOfAField-80.pdf ├── largeScale-threeAdvectionSchemes.pdf ├── left-3d-matplotlib.pdf ├── left-LOD-ch1.pdf ├── left-LOD-ch1.png ├── left-matplotlib-example.png ├── left-matplotlib.pdf ├── linearDataFit-TF.pdf ├── mesh.webp ├── meshgrid.png ├── myHashKeyTree.pdf ├── paraview-Spiraling-Sphere.png ├── paraview-snapshot.png ├── particleNormalStress.jpg ├── plotOverGlobalMap.pdf ├── pressureManyParticles-0.pdf ├── pressureManyParticles-100.pdf ├── pressureManyParticles-150.pdf ├── pressureManyParticles-199.pdf ├── pressureManyParticles-50.pdf ├── pressureManyParticlesStrong-0.pdf ├── pressureManyParticlesStrong-34.pdf ├── pressureManyParticlesStrong-35.pdf ├── pressureManyParticlesStrong-50.pdf ├── pressureManyParticlesStrong-Init.pdf ├── pressureManyParticlesWeak-0.pdf ├── pressureManyParticlesWeak-70.pdf ├── pressureWeakParticles-0.pdf ├── pressureWeakParticles-100.pdf ├── pressureWeakParticles-150.pdf ├── pressureWeakParticles-199.pdf ├── pressureWeakParticles-50.pdf ├── quadraticTriangulation.pdf ├── random-matrix-determinant.pdf ├── random-matrix-normalDistribution.pdf ├── readme.txt ├── regular-mesh-dots.png ├── right-3d-matplotlib.pdf ├── right-3d-matplotlib.png ├── right-LOD-ch1.pdf ├── right-matplotlib-example.png ├── right-matplotlib.pdf ├── rigidrotation.jpg ├── sectionInverseDiffusionMatrixR1.pdf ├── sectionInverseDiffusionMatrixR100.pdf ├── 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