Mathematical Sciences Research Equipment 1989

这是国家科学基金数学科学部数学科学计划科学计算研究设备项目的一项资助。该计划支持购买专门用于进行数学科学研究的专用计算设备。这种设备是几个研究项目所需要的，很难单独为一个项目辩护。国家科学基金会的支持伴随着制造商的折扣和贡献，以及提交提案的机构的大量费用分摊。该项目是学术、企业和政府合作支持数学科学基础研究的一个范例。该设备将用于支持加州大学圣巴巴拉分校数学系的五个研究项目：比约恩·伯尼尔指导的非线性偏微分方程的数值研究；肯尼斯·米利特指导的经典节点和链节的组合分类；迈克尔·克兰德尔指导的完全非线性方程的数值实验和粘性解理论；由Thomas Sideris指导的非线性双曲系统中的奇点；以及Daryl Cooper指导的双曲流形的特征变量。

This is a grant under the Scientific Computing Research Equipment for the Mathematical Sciences program of the Division of Mathematical Sciences of the National Science Foundation. This program supports the purchase of special purpose computing equipment dedicated to the conduct of research in the mathematical sciences. This equipment is required for several research projects and would be difficult to justify for one project alone. Support from the National Science Foundation is coupled with discounts and contributions from manufacturers and with substantial cost-sharing from the institutions submitting the proposal. This program is an example of academic, corporate, and government cooperation in the support of basic research in the mathematical sciences. This equipment will be used to support five research projects in the Department of Mathematics at the University of California, Santa Barbara: Numerical Investigations of Nonlinear Partial Differential Equations, directed by Bjorn Birnir; Combinatorial Classification of Classical Knots and Links, directed by Kenneth Millett; Numerical Experiments and the Theory of Viscosity Solutions of Fully Nonlinear Equations, directed by Michael Crandall; Singularities in Nonlinear Hyperbolic Systems, directed by Thomas Sideris; and Character Varieties for Hyperbolic Manifolds, directed by Daryl Cooper.