A Course in Triangulations for Solving Equations with Deformations

Front Matter....Pages i-iii
Introduction....Pages 1-7
Mathematical Background and Notation....Pages 9-17
Subdivisions and Triangulations....Pages 19-38
Standard Simplex S and Matrix Operations....Pages 39-44
Subdivision Q of $$ \mathbb{G}^n $$ ....Pages 45-49
Freudenthal Triangulation F of $$ \mathbb{G}^n $$ , Part I....Pages 51-82
Sandwich Triangulation F| $$ \mathbb{G}^{n - 1} $$ x [0,1]....Pages 83-86
Triangulation F|rS....Pages 87-94
Squeeze and Shear....Pages 95-109
Freudenthal Triangulation F of $$ \mathbb{G}^n $$ , Part II....Pages 111-125
Triangulation F|Q α ....Pages 127-135
Juxtapositioning with ℓ ....Pages 137-158
Subdivision P of $$ \mathbb{G}^n $$ x (-∞,1]....Pages 159-170
Coning Transverse Affinely Disjoint Subdivisions....Pages 171-179
Triangulation V of V = cvx((S x 0) u ( $$ \mathbb{G}^n $$ x 1))....Pages 181-209
Triangulation V[r,p] of S × [0,1] by Restricting, Squeezing and Shearing V....Pages 211-234
Variable Rate Refining Triangulation S of in $$ \mathbb{G}^n $$ x [0,+∞) by Juxtapositioning V [r,p]’s....Pages 235-273
S + an Augmentation of S....Pages 275-295
Reference....Pages 297-302
Back Matter....Pages 303-304