A Course in Triangulations for Solving Equations with Deformations

1. Introduction.- 2. Mathematical Background and Notation.- 3. Subdivisions and Triangulations.- 4. Standard Simplex S and Matrix Operations.- 5. Subdivisions Q of $$ \mathbb{G}^n $$.- 6. Freudenthal Triangulation F of
$$
\mathbb{G}^n
$$
, Part I.- 7. Sandwich Triangulation F|$$ \mathbb{G}^n-1 $$ x [0,1]).- 8. Triangulation F|rS.- 9. Squeeze and Shear.- 10. Freudenthal Triangulation F of $$ \mathbb{G}^n $$, Part II.- 11. Triangulation F|Q?.- 12. Juxtapositioning with ?.- 13. Subdivision P of $$ \mathbb{G}^n $$ x (??,1].- 14. Coning Transverse Affinely Disjoint Subdivisions.- 15. Triangulation V of V = cvx((S x 0) u ($$ \mathbb{G}^n $$x 1)).- 16. Triangulation V[r,p] of S × [0,1] by Restricting, Squeezing, and Shearing V.- 17. Variable Rate Refining Triangulation S of $$ \mathbb{G}^n $$ x [0,+?] by Juxtapositioning V[r,p]’s.- 18. S+ an Augmentation of S.- 19. References.