Mathematical Sciences Research Equipment 1989

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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.