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 Information Technology Laboratory /Applied and Computational Mathematics Division
      Mathematical Analysis and Modeling
                      We perform research in applied mathematics, mathematical modeling, numerical analysis, and scientific computing for application to multidisciplinary problems of interest to the NIST measurement science program.

      
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          Resources/ServicesThe group applies expertise in mathematical subdisciplines such as differential equations, nonlinear dynamics, inverse and ill-posed problems, continuous optimization, and image analysis.  Application areas include materials modeling, computational electromagnetics and acoustics, electro-optics, fluid mechanics, fracture and deformation, nanotechnology, and systems biology.  In collaboration with NIST and outside scientists, our researchers develop and analyze mathematical and computational models, methods, and tools necessary for the fundamental understanding of physical, biological, and information systems and processes.  We work with academia, industry, professional societies, consortia, and standards bodies on measurement science issues related to the modeling of such applications.

    
  News and Updates
      
                          Spotlight: The Runaway Hit for Software Testing
                        June 30, 2023It’s a research tool that helps test software more effectively than ever before — including the software that helps keeps cars and airplanes operating safely.
  Spotlight: Danielle Brager on the Move in Mathematics
                        July 28, 2022Nearly every step of her success has involved an element of personal discovery, plus the advice of good mentors.
  New Device Design Brings Unparalleled Confidence to Cell Measurements
                        July 20, 2022Measuring the numbers and properties of cells moving in a stream — a process called flow cytometry — is critically important to diagnostic medicine
  NIST Innovation Could Improve Detection of COVID-19 Infections
                        October 5, 2020A multidisciplinary research team at the National Institute of Standards and Technology (NIST) has developed a way to increase the sensitivity of the primary

    

  
  

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  Publications
      
                          G2Aero: A Python package for separable shape tensors
                        September 20, 2023
                  Author(s)
                                Olga  Doronina,   Zachary J. Grey,   Andrew  GlawsG2Aero is a Python package for the design and deformation of discrete planar curves and tubular surfaces using a geometric data-driven approach. G2Aero utilizes
  Noise-resilient deep tomographic imaging
                        April 24, 2023
                  Author(s)
                                Zhen  Guo,   Zhiguang  Liu,   George  Barbastathis,   Qihang  Zhang,   Michael  Glinsky,   Bradley  Alpert,   Zachary H.  LevineX-ray tomography is a non-destructive imaging technique that reveals the interior of an object from its projections at different angles. Under limited-angle and
  Separable Shape Tensors for Aerodynamic Design
                        January 31, 2023
                  Author(s)
                                Zachary J. Grey,   Andrew  Glaws,   Olga  DoroninaAirfoil shape design is a classical problem in engineering and manufacturing. In this work, we combine principled physics-based considerations for the shape
  Physics-assisted Generative Adversarial Network for X-Ray Tomography
                        June 10, 2022
                  Author(s)
                                Zhen  Guo,   Jungki  Song,   George  Barbastathis,   Michael  Glinsky,   Courtenay  Vaughan,   Kurt  Larson,   Bradley  Alpert,   Zachary H.  LevineX-ray tomography is capable of imaging the interior of objects in three dimensions non-invasively, with applications in biomedical imaging, materials study

    

  
  

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  Awards
      
                          2021 - Silver Medal Award---Jeffrey Hudgens, Kyle Anderson, Ioannis Karageorgos, Robert Brinson, III, Frank Delaglio, Luke Arbogast, John Marino, Ryan Evans, Anthony KearsleyFor developing and promoting adoption of methods to determine protein structure that increase patient access to life-saving biosimilar drugs.
  2017 - Gold Medal Award---W. Bertrand (Randy) Doriese, Ralph Jimenez, Luis Miaja Avila, Galen C. O'Neil, Kevin L. Silverman, Daniel S. Swetz, Joel N. Ullom, Bradley K. AlpertFor advancing materials development by creating tabletop X-ray tools that rival or exceed those available only at massive national user facilities.

    

  
  

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