Courant Institute of Mathematical Sciences

About: Courant Institute of Mathematical Sciences is a education organization based out in New York, New York, United States. It is known for research contribution in the topics: Nonlinear system & Boundary value problem. The organization has 2414 authors who have published 7759 publications receiving 439773 citations. The organization is also known as: CIMS & New York University Department of Mathematics.

The Nyu Ultracomputer Designing a MIMD Shared Memory Parallel Machine

Abstract: The design for the NYU ultracomputer, a shared-memory MIMD parallel machine composed of thousands of autonomous processing elements is presented. This machine uses an enhanced message switching network with the geometry of an omega-network to approximate the ideal behaviour of Schwartz's paracomputer model of computation and to implement efficiently the important fetch-and-add synchronisation primitive. The hardware which would be required to build a 4096 processor system using 1990s technology is outlined. System software issues are discussed and analytic studies of the network performance are presented. A sample of efforts to implement and simulate parallel variants of important scientific programs is included. 37 references.

Toward a theory of rank one attractors

Abstract: Introduction 1 Statement of results PART I PREPARATION 2 Relevant results from one dimension 3 Tools for analyzing rank one maps PART II PHASE-SPACE DYNAMICS 4 Critical structure and orbits 5 Properties of orbits controlled by critical set 6 Identification of hyperbolic behavior: formal inductive procedure 7 Global geometry via monotone branches 8 Completion of induction 9 Construction of SRB measures PART III PARAMETER ISSUES 10 Dependence of dynamical structures on parameter 11 Dynamics of curves of critical points 12 Derivative growth via statistics 13 Positive measure sets of good parameters APPENDICES

Searching and Storing Similar Lists

Abstract: We present an optimal data structure for storing a sequence of similar lists; it supports rapid searching of an arbitrary list. Applications include an optimal planar point location algorithm, more general than previous ones, a 3-dimensional point location algorithm, and a new representation scheme for polyhedra.

Energy of a Boson Fluid with Lennard-Jones Potentials

Abstract: A more powerful version of a numerical method published before is given which permits the integration of the Schr\"odinger equation for a large ensemble of particles. A new method for obtaining quantum expectation values is outlined. Numerical results are tabulated for the energy of the ground state of a system of 32 bosons interacting by Lennard-Jones potentials and with periodic boundary conditions. This is a commonly used model of liquid ${\mathrm{He}}^{4}$. The present results are substantially lower and closer to experiment than variational estimates based on a Jastrow-type wave function.