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Mathematical Software

We perform research in the development and application of mathematical algorithms and software in support of computational science within NIST as well as in industry and academia.

The group develops fundamental mathematical algorithms of direct relevance to NIST programs, implements them in high-quality software, and consults and collaborates in their use.  We work to ensure the performance, usability, reliability, portability, and compatibility of mathematical software via demonstrations, testbeds, prototypes, reference implementations,  and the wide dissemination of information.  We also develop techniques, tools, and standards for representation, search, visualization, and exchange of mathematical objects and databases.

News and Updates


Uncertainty estimation for 2D magnetic particle imaging

Mark-Alexander Henn, Klaus Natorf Quelhas, Solomon I. Woods
Magnetic Particle Imaging (MPI) has in recent years been established as a powerful imaging tool that measures thenon-linear magnetic response of magnetic

A Science Gateway for Atomic and Molecular Physics

Barry I. Schneider, Klaus Bartschat, Oleg Zatsarinny, Igor Bray, Fernando Martin, Armin Scrinzi, Sudhakar Pamidighantam, Jonathan Tennyson, Jimena Gorfinkiel, Markus Klinker
We describe the creation of a new Atomic and Molecular Physics science gateway (AMPGateway). The gateway is designed to bring together a subset of the AMP



DLMF: Digital Library of Mathematical Functions

OOMMF: Object-Oriented Micromagnetic

OOF: Object-Oriented Finite Element Analysis of Materials with Complex Microstructure

PHAML: Parallel Hierarchical Adaptive Multi-Level Software for Partial Differential Equations

GAMS: Guide to Available Mathematical Software

Matrix Market: Database of sparse matrices for testing and evaluation of linear algebra software

SIAM Activity Group on Orthogonal Polynomials and Special Functions

Painlevé Project