In these lecture notes we describe the construction, analysis, and application of ENO (Essentially
Non-Oscillatory) and WENO (Weighted Essentially Non-Oscillatory) schemes for hyperbolic conservation
laws and related Hamilton-Jacobi equations. ENO and WENO schemes are high order accurate
nite dierence schemes designed for problems with piecewise smooth solutions containing discontinuities.
This volume in the record of a 1985 week- long Joint Summer Research Conference on Algebraic Geometry, held in Arcata, California. The conference organized by Michael Artin, Barry Mazur, and myself focused on this current development in our field
This paper gives a quantitative version of Thurston’s hyperbolic Dehn surgery theorem. Applications include the ﬁrst universal bounds on the number of nonhyperbolic Dehn ﬁllings on a cusped hyperbolic 3-manifold, and estimates on the changes in volume and core geodesic length during hyperbolic Dehn ﬁlling. The proofs involve the construction of a family of hyperbolic conemanifold structures, using inﬁnitesimal harmonic deformations and analysis of geometric limits.
On the other hand a model with
dynamically inconsistent (quasi-hyperbolic) time preference can explain the decline, for
reasonable short-term and long-term discount rates. We also investigate whether
households in our sample appear to make an effort at self-control, using a strategy
emphasized in the literature: a mental accounting rule that limits borrowing during the
pay period and thus puts a cap on overspending. We find that households who are able to
borrow, in the sense that they own a credit card, nevertheless exhibit the spending profile
characteristic of credit constraints.