Rough isometry and analysis on manifold.

Lau Chi Hin.Thesis (M.Phil.)--Chinese University of Hong Kong, 1997.Includes bibliographical references (leaves 88-91).Chapter 1 --- Introduction --- p.4Chapter 1.1 --- Rough Isometries --- p.4Chapter 1.2 --- Discrete approximation of Riemannian manifolds --- p.8Chapter 2 --- Basic Properties of Rough Isometries --- p.19Chapter 2.1 --- Volume growth rate --- p.19Chapter 2.2 --- Sobolev Inequalities --- p.25Chapter 2.3 --- Poincare Inequality --- p.32Chapter 3 --- Parabolic Harnack Inequality --- p.39Chapter 3.1 --- Parabolic Harnack Inequality --- p.39Chapter 4 --- Parabolicity and Liouville Dp-property --- p.58Chapter 4.1 --- Parabolicity --- p.58Chapter 4.2 --- Liouville Dp-property --- p.6

MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications

Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described