This collection of notebooks presents is part of a reproducible research effort in the numerical analysis of partial differential equations. The emphasis is on non-linear and anisotropic problems, discretized on cartesian grids. We present:
Disclaimer This series of notebooks is part of an ongoing research project. While we do have a strong focus on research reproducibility, the provided numerical codes should be regarded as experimental and come without any guarantee of any type.
A. Isotropic and anisotropic metrics
III. Rander metrics
B. Non holonomic metrics and curvature penalization
C. Algorithmic enhancements to the fast marching method
III. Sensitivity analysis
D. Motion planning
V. Minimal paths with curvature penalization and obstacles (Interactive)
E. Seismology and crystallography
F. Image models and segmentation
III. Geodesic models with convexity shape prior (Interactive)
G. Other applications
H. Custom optimal control models, discrete states
A. One space dimension
III. Optimal transport non-linearities and boundary conditions
B. Monotone numerical schemes
C. Eikonal equation and variants
D. Time dependent optimal control
A. One space dimension
B. Static problems
C. Linear elasticity
III. Fourth order schemes for anisotropic acoustic and elastic waves
IV. Gradient backpropagation in anisotropic acoustic and elastic waves
D. Primal-Dual optimization
E. Applications
A. Tensor decomposition techniques
III. Voronoi's reduction, in dimension 6, application to Hooke tensor decomposition
B. Generalized acuteness
C. Automatic differentiation
D. Domain representation
E. Convex functions and convex bodies
#import sys; sys.path.append("..") # Allow imports from parent directory
#from Miscellaneous import TocTools; print(TocTools.displayTOCss())