Performs research and maintains expertise in the methodology and application of mathematical algorithms and software in support of computational science. Works with industry and academia on tools to insure the performance, usability, reliability, portability, and compatibility of mathematical software via demonstrations, testbeds, prototypes, reference implementations and the wide dissemination of information. Supports and advances the NIST scientific computing environment by developing mathematical algorithms of particular concern to NIST programs, implementing them in high-quality software, and consulting and collaborating with NIST scientists in their use. Applies expertise in areas such as high performance computing, computer arithmetic, software design, testing and evaluation methodology, and repository technology, as well as a variety of mathematical subdisciplines such as numerical analysis, special functions, linear algebra, partial differential equations, and symbolic computing.